М.: Синтег, 1999. — 118 с. — ISBN 5-89638-024-0. Предложен новый взгляд на арифметические основы математики, исходящий из нетрадиционного упорядочения числовой оси. Введенная система аксиом позволяет с единых общих позиций расширить возможности современной математики в таких разделах, как суммирование расходящихся рядов, вычисление пределов и значений вычетов факториала и...
New York: John Wiley & Sons, 1982. — 194 p. There have been many books written during the past decade on the topic of mathematical modelling; all these books have been devoted to explaining and developing mathematical models, but very little space has been given to how to construct mathematical models, that is, how to take a real problem and convert it into a mathematical one....
М.: Эдиториал УРСС, 2004. — 351 с. Описывается общий подход к работе с неточно определенными объектами. Предлагаются неклассические понятия непрерывности, аппроксимации, регуляризации. Рассмотрены мягкие аналоги математического анализа, включая производные и интегралы, мягкие дифференциальные и интегральные уравнения, разнообразные мягкие задачи оптимизационного характера,...
Society for Industrial and Applied Mathematics, 2001. — 245 p. By computerized tomography (CT) we mean the reconstruction of a function from its line or plane integrals, irrespective of the field where this technique is applied. In the early 1970s CT was introduced in diagnostic radiology and since then, many other applications of CT have become known, some of them preceding...
М.: Эдиториал УРСС, 2004. — 351 с. Описывается общий подход к работе с неточно определенными объектами. Предлагаются неклассические понятия непрерывности, аппроксимации, регуляризации. Рассмотрены мягкие аналоги математического анализа, включая производные и интегралы, мягкие дифференциальные и интегральные уравнения, разнообразные мягкие задачи оптимизационного характера,...
Springer, 2024. - 300 p. - ISBN 3662694255. Knowledge in the areas of data science and machine learning is increasingly expected from mathematics graduates and consequently, students of mathematics ask for these subjects to be included in the standard curricula. The idea behind this textbook is to present canonical data science and machine learning topics in a form tailored to...
Monografia naukowa. — Białystok: Politechnika Białostocka, 2023. — 213 s. — ISBN 978-83-67185-96-7. Badania obejmują dziedzinę matematyki stosowanej i jej zastosowań w budownictwie i architekturze.
CRC Press, 2025. — 351 p. — ISBN 978-1-032-61071-9. Applied Mathematics: A Computational Approach aims to provide a basic and self-contained introduction to Applied Mathematics within a computational environment. The book is aimed at practitioners and researchers interested in modeling real-world applications and verifying the results — guiding readers from the mathematical...
Springer, 2024. - 171 p. - ISBN 303165160X. This colorful and concise little book is uniquely tailored for those who write mathematical texts at any level and are eager to improve their English writing skills . The easy-to-read guide focuses on helping the writer avoid common English mistakes in mathematical writing. With just a few minutes of engaging, light reading each day,...
Springer, 1985. - 133 p. - ISBN 0387961496. If someone told you that mathematics is quite beautiful , you might be surprised. But you should know that some people do mathematics all their lives , and create mathematics, just as a composer creates music. Usually, every time a mathematician solves a problem, this gives rise to many others, new and just as beautiful as the one...
Boca Raton: CRC Press, 2024. — 290 p. Preface List of Reviewers A note on q-series and Clausen type identities Availability analysis of warm standby system with general repair times A study of non-Newtonian K-L fluid model through an inclined artery of non-uniform cross-section Non-split domination cover pebbling number for some class of middle graphs A model for the diagnosis...
Indépendante Edition, 2024. — 204 р. — ASIN: B0CTWZLLFC. Discover the essential foundations of Mathematics for Artificial Intelligence with this comprehensive ebook. In the "Introduction to Mathematics in AI" section, embark on a journey that demystifies the mathematical concepts crucial for understanding AI. Explore the significance of mathematics in shaping the landscape of...
Indépendante Edition, 2024. — 204 р. — ASIN: B0CTWZLLFC. Discover the essential foundations of Mathematics for Artificial Intelligence with this comprehensive ebook. In the "Introduction to Mathematics in AI" section, embark on a journey that demystifies the mathematical concepts crucial for understanding AI. Explore the significance of mathematics in shaping the landscape of...
Indépendante Edition, 2024. — 204 р. — ASIN: B0CTWZLLFC. Discover the essential foundations of Mathematics for Artificial Intelligence with this comprehensive ebook. In the "Introduction to Mathematics in AI" section, embark on a journey that demystifies the mathematical concepts crucial for understanding AI. Explore the significance of mathematics in shaping the landscape of...
2nd ed. — Boca Raton: CRC Press, 2021. — 398 p. — ISBN 0367076136. Math and Art: An Introduction to Visual Mathematics explores the potential of mathematics to generate visually appealing objects and reveals some of the beauty of mathematics . It includes numerous illustrations, computer-generated graphics, photographs, and art reproductions to demonstrate how mathematics can...
National Academies Press, 2023. — 89 p. Artificial intelligence (AI) has the potential to aid new mathematical discoveries. Particularly as the amount of data available grows beyond what any person can study, AI can be useful in its power to identify patterns in data and refine relationships between properties. Sponsored by the National Science Foundation, the National...
Preprint, 2019. — 127 p. This tutorial describes the geometry and algorithms for generating line drawings from 3D models, focusing on occluding contours. The geometry of occluding contours on meshes and on smooth surfaces is described in detail, together with algorithms for extracting contours, computing their visibility, and creating stylized renderings and animations. Exact...
Препринт. — Новосибирск: Институт систем информатики имени А.П. Ершова СО РАН, 1997. — 25 с. В данной работе описывается простой и эффективный алгоритм, реализующий замкнутый набор булевых операций {объединение, пересечение, разность, симметрическая разность} над множествами гранично-заданных многоугольников (boundary represented polygons) на плоскости. Замкнутость набора...
Philadelphia: SIAM, 1994. — 136 p. This book is based on a one-year course taught at the University of Minnesota during 1992–1993. Its spirit and aims are best summarized by the quote below, taken from the preface to the student. The six topics are varied and interesting; they address (i) crystal precipitation, (ii) air quality modeling, (iii) electron beam lithography, (iv)...
Cambridge University Press, 2003. — 313 p. The chemostat is not only a laboratory device but also a "laboratory'' for mathematical modeling of population and community dynamics. Neither theory of the chemostat can therefore avoid mathematics, but The theory of the chemostat applies mathematics in the best possible way, via producing new mathematical results needed to provide...
Springer, 2022. — 312 p. — ISSN 2193-4797. This book introduces some basic mathematical tools in reaction-diffusion models, with applications to spatial ecology and evolutionary biology. It is divided into four parts. The first part is an introduction to the maximum principle, the theory of principal eigenvalues for elliptic and periodic-parabolic equations and systems, and the...
Princeton: Princeton University Press, 2024. - 376 p. - ISBN 0691235317. How a modern radio works, told through mathematics, history, and selected puzzles. The modern radio is a wonder, and behind that magic is mathematics . In The Mathematical Radio, Paul Nahin explains how radios work, deploying mathematics and historical discussion, accompanied by a steady stream of...
WSPC, 2023. — 252 p. The book's objectives are to expose students to analyzing and formulating various patterns such as linear, quadratic, geometric, piecewise, alternating, summation-type, product-type, recursive and periodic patterns. The book will present various patterns graphically and analytically and show the connections between them.
Englewood Cliffs: Prentice-Hall, 1994. — 716 p. — (Prentice Hall signal processing series). — ISBN 013062621X. Several disciplines dealing with “the technology of digital images” emerged over the past few decades and are taught at universities worldwide. Image Processing is about algorithms that filter, enhance, and restore images: this is an “image-idimage-out” technology....
The Association for Mathematical Research, 2023. — 198 p. — (AMR Monographs for the Profession, 1). — ISBN 9781959384021. This book describes MadHat, a desktop app for creating beautiful documents and presentations. Author Dan Romik, spent several years building this next-generation mathematical typesetting software system. Madhat aims to combine the rich features and high...
London: World Scientific Publishing Europe, 2023. — 318 p. — ISBN 1800613571. The modelling of systems by differential equations usually requires that the parameters involved be completely known. Such models often originate from problems in physics or economics where we have insufficient information on parameter values. One important class of stochastic mathematical models is...
2nd Edition. — Whittles Publishing, 2004 — 416 p. — ISBN 978-1870325998 In response to demand, the author has written a new chapter on the subject of least squares estimation. To support this new topic, an appendix has been added, presenting additional matrix algebra. This second and enlarged edition of this established textbook for students and professionals is again...
American Mathematical Society, 2009. — 376 p. This book provides a concrete introduction to a number of topics in harmonic analysis, accessible at the early graduate level or, in some cases, at an upper undergraduate level. Necessary prerequisites to using the text are rudiments of the Lebesgue measure and integration on the real line. It begins with a thorough treatment of...
Springer International Publishing, 2019. — 703 p. This book presents several aspects of research on mathematics that have significant applications in engineering, modelling and social matters, discussing a number of current and future social issues and problems in which mathematical tools can be beneficial. Each chapter enhances our understanding of the research problems in a...
Cambridge University Press, 2023. — 316 p. Using the dichotomy of structure and pseudorandomness as a central theme, this accessible text provides a modern introduction to extremal graph theory and additive combinatorics. Readers will explore central results in additive combinatorics-notably the cornerstone theorems of Roth, Szemerédi, Freiman, and Green-Tao-and will gain...
New York: Routledge/Eye on Education, 2023. — 271 p. Offering secondary math educators an innovative holistic and process-orientated approach for implementing nonroutine problems into their curriculum, this book defines and establishes practical strategies to develop students’ problem-solving skills. The text focuses on the process skills necessary to solve nonroutine problems...
Монография. — М.: Советское радио, 1970. — 400 с. Книга содержит изложение теоретических основ резонансных преобразований, описание свойств резонансных и спектральных диаграмм и их применения в теории сигналов и теории колебаний. Исследуется связь между преобразованием Фурье и резонансными преобразованиями и обсуждается использование свойств резонансных диаграмм для определения...
Монография. — М.: Советское радио, 1970. — 400 с. Книга содержит изложение теоретических основ резонансных преобразований, описание свойств резонансных и спектральных диаграмм и их применения в теории сигналов и теории колебаний. Исследуется связь между преобразованием Фурье и резонансными преобразованиями и обсуждается использование свойств резонансных диаграмм для определения...
Washington: The Mathematical Association of America, 2000. — 185 p. Through hard experience mathematicians have learned to subject even the most 'evident' assertions to rigorous scrutiny, as intuition and facile reasoning can often be misleading. However, errors can slip past the most watchful eye, they are often subtle and difficult to detect; but when found they can teach us...
Cham: Springer, 2023. — 629 p. This volume is an original collection of articles by 44 leading mathematicians on the theme of the future of the discipline. The contributions range from musings on the future of specific fields, to analyses of the history of the discipline, to discussions of open problems and conjectures, including first solutions of unresolved problems....
Springer, 2023. — 198 p. — (Undergraduate Texts in Mathematics). — ISBN 3031130162. This textbook originates from a course taught by the late Ken Ireland in 1972 . Designed to explore the theoretical underpinnings of undergraduate mathematics, the course focused on interrelationships and hands-on experience. Readers of this textbook will be taken on a modern rendering of...
Springer, 2022. — 249 p. — (SEMA SIMAI Springer Series; ICIAM 2019 SEMA SIMAI Springer Series 01). — ISBN 9783030862367. Последние достижения в области промышленной и прикладной математики This open access book contains review papers authored by thirteen plenary invited speakers to the 9th International Congress on Industrial and Applied Mathematics (Valencia, July 15-19,...
Hershey: IGI Global, 2021. — 260 p. In the context of the Fourth Industrial Revolution, a world of continuous alterations is glimpsed where science and technology are at the base of economic competitiveness and where innovation plays a strategic role in global competition, so that they are forced to cover a series of requirements to compete successfully in an increasingly...
Springer, 2018. — 408 p. — ISBN 3319940147. This book celebrates the 50th anniversary of the Institute of Mathematics, Statistics and Scientific Computing (IMECC) of the University of Campinas, Brazil, by offering reviews of selected research developed at one of the most prestigious mathematics institutes in Latin America. Written by senior professors at the IMECC, it covers...
Cham: Springer, 2022. — 206 p. This book consists of five chapters presenting problems of current research in mathematics, with its history and development, current state, and possible future direction. Four of the chapters are expository in nature while one is based more directly on research. All deal with important areas of mathematics, however, such as algebraic geometry,...
Springer, 2022. — 584 p. — ISBN 978-3-030-92689-2. This eighth volume of Imagine Math is different from all the previous ones. The reason is very clear: in the last two years, the world changed, and we still do not know what the world of tomorrow will look like. Difficult to make predictions. This volume has a subtitle Dreaming Venice. Venice, the dream city of dreams, that...
Springer, 2022. — 232 p. — ISBN 978-3-031-13565-1. This is open access book provides plenty of pleasant mathematical surprises. There are many fascinating results that do not appear in textbooks although they are accessible with a good knowledge of secondary-school mathematics. This book presents a selection of these topics including the mathematical formalization of origami,...
7th ed. — Alpine: AoPS, 2006. — 143 p. — (The Art of Problem Solving). — ISBN 978-0977304578, 0977304574. This is the Solutions Manual only to The Art of Problem Solving, Volume 1. The Art of Problem Solving, Volume 1, is the classic problem solving textbook used by many successful MATHCOUNTS programs, and have been an important building block for students who, like the...
Методические рекомендации. — Витебск: Витебский государственный университет (ВГУ) имени П.М. Машерова, 2020. — 41 с. Издание подготовлено для студентов второй ступени высшего образования факультета МиИТ в соответствии с учебной программой по дисциплине "Методология математических исследований" (специальность "Математика и компьютерные науки"). Излагаются теоретический материал...
Chapman and Hall/CRC, 2017. — 352 p. — (Textbooks in Mathematics). — ISBN 9781138197701. Essentials of Mathematical Thinking addresses the growing need to better comprehend mathematics today. Increasingly, our world is driven by mathematics in all aspects of life. The book is an excellent introduction to the world of mathematics for students not majoring in mathematical...
Cham: Springer, 2022. — 496 p. We describe in this book recent advances in fuzzy sets theory, fractional calculus, dynamic systems, and optimization. The book provides a setting for the discussion of recent developments in a wide variety of topics including partial differential equations, dynamic systems, optimization, numerical analysis, fuzzy sets theory, fractional calculus,...
Hoboken: Wiley, 2012. — 932 p. Transform your mathematics course into an engaging and mind-opening experience for even your most math-phobic students. Now in its Fourth Edition, The Heart of Mathematics: An Invitation to Effective Thinking succeeds at reaching non-math, non-science-oriented majors, encouraging them to discover the mathematics inherent in the world around them....
New York: Wolfram Media, 2020. — 287 p. — ISBN 9781579550295, 1579550290 Why are we all taught maths for years of our lives? Does it really empower everyone? Or fail most and disenfranchise many? Is it crucial for the AI age or an obsolete rite of passage? The Math(s) Fix: An Education Blueprint for the AI Age is a groundbreaking book that exposes why maths education is in...
Cham: Springer Nature, 2018. — 525 p. This book constitutes the proceedings of the 6th International Conference on Mathematical Software, ICMS 2018, held in South Bend, IN, USA, in July 2018.The 59 papers included in this volume were carefully reviewed and selected from numerous submissions. The program of the 2018 meeting consisted of 20 topical sessions, each of which...
Singapore: Springer, 2007. — 418 p. This book constitutes the refereed proceedings of the 6th International Conference on Mathematical Knowledge Management, MKM 2007, and the 14th Symposium on the Integration of Symbolic Computation and Mechanized Reasoning, Calculemus 2006, held in Hagenberg, Austria in June 2007 as events of the RISC Summer 2007, organized by the Research...
Cambridge: Cambridge University Press, 1986. — 200 p. Academic life in Cambridge especially in Trinity College is viewed through the eyes of one of its greatest figures. Most of Professor Littlewood's earlier work is presented along with a wealth of new material.
Cambridge: Cambridge University Press, 2022. - 184 p. - (Cambridge Monographs on Applied and Computational Mathematics). - ISBN 1108838065. The Christoffel–Darboux kernel , a central object in approximation theory, is shown to have many potential uses in modern data analysis , including applications in machine learning . This is the first book to offer a rapid introduction to...
New York: Springer, 2022. — 348 p. This contributed volume convenes a rich selection of works with a focus on innovative mathematical methods with applications in real-world, industrial problems. Studies included in this book are all motivated by a relevant industrial challenge, and demonstrate that mathematics for industry can be extremely rewarding, leading to new...
Москва: Дельфис, 2015. — 414 с. В книге выдвинут постулат о функциональной асимметрии природы , образованной двумя универсальными формообразующими процессами – сжатия и расширения, непрерывности и разрывности . Обоснована двойственность её фрактальной геометрии . В качестве формального аналога двойственности рассмотрена модель числовой асимметрии – объединения вещественных и...
Springer, 2021. - 443 p. - ISBN 3030885747. The Mathematics of Errors presents an original, rigorous and systematic approach to the calculus of errors, targeted at both the engineer and the mathematician. Starting from Gauss's original point of view, the book begins as an introduction suitable for graduate students, leading to recent developments in stochastic analysis and...
М.: Наука, 1987. — 209 с. В сборнике освещаются актуальные проблемы теории римановых многообразий, теории кривых в Е3, теории выпуклых поверхностей в евклидовом и псевдоевклидовом пространстве и теории полуупорядоченных пространств. Изучаются отображения, «почти» сохраняющие конусы, бифуркации динамических систем на плоскости, следы функций из обобщенных пространств Соболева со...
Paris: European Mathematical Society, 2021. — 700 p. This volume consists of a collection of essays dedicated to Vladimir Turaev. The essays cover the large spectrum of topics in which Turaev has been interested, including knot and link invariants, quantum representations, TQFTs, state sum constructions, geometric structures on knot complements, Kleinian groups, geometric group...
М.–Ижевск: Институт компьютерных исследований, 2013. — 576 с. За 40 лет своей работы в Лос-Аламосской Национальной лаборатории математик Станислав Улам написал большое число лабораторных отчетов, обычно в соавторстве с коллегами. Некоторые из них остаются засекреченными по сей день. Остальные, будучи собранными в настоящий сборник, теперь впервые становятся доступными для...
Cham: Springer, 2021. — 150 p. This unique book gathers various scientific and mathematical approaches to and descriptions of the natural and physical world stemming from a broad range of mathematical areas – from model systems, differential equations, statistics, and probability – all of which scientifically and mathematically reveal the inherent beauty of natural and physical...
Электронное издание. — М.: Московский центр непрерывного математического образования (МЦНМО), 2018. — 183 с. — ISBN 978-5-4439-3246-0. В первой части книги выдающийся математик В. И. Арнольд в полемической форме рассуждает о соотношении чистой и прикладной математики. Вторая часть книги содержит записи курсов лекций, прочитанных автором в Дубне в 2005 году, на летней школе...
Springer, 2022. — 307 p. — (Studies in Systems, Decision and Control Volume 391). — ISBN 978-3-030-86995-3. Приложения математики неопределенности: Большие проблемы ― Торговля людьми ― Коронавирус ― Биоразнообразие и исчезновение This book provides an examination of major problems facing the world using mathematics of uncertainty. These problems include climate change,...
New York: Springer, 1996. — 346 p. The variety of sizes, shapes, and irregularities in nature is endless. Through illustrations and text, the authors of The Parsimonious Universe describe the efforts by scientists and mathematicians since the Renaissance to identify and describe the basic laws underlying the shape of natural forms. Can one set of laws account for both the...
Boca Raton: CRC Press, 2021. — 324 p. This book is an outgrowth of a collection of sixty-two problems offered in the The American Mathematical Monthly (AMM) the author has worked over the last two decades. Each selected problem has a central theme, contains gems of sophisticated ideas connected to important current research, and opens new vistas in the understanding of...
Independently published, 2020. — 271 p. The purpose of this book is to improve the reader’s analytical skills through the study and practice of “mathematical thinking” where “mathematical thinking” includes algorithms, logic, methods of reasoning, methods of proof, modeling, and universal mathematical laws. As a byproduct, the reader is provided with a brief introduction to...
New York: Times 10 Publication, 2018. — 124 p. Now, you can make the impossible a reality, and your students will race to complete your math problems. Math teachers want more for their students than routine lessons and weekly test scores. You want them to engage in a productive struggle, without quitting in frustration. You want them to think like mathematicians. You want them...
Boca Raton: CRC Press, 2022. — 466 p. Mathematical Modelling sets out the general principles of mathematical modelling as a means comprehending the world. Within the book, the problems of physics, engineering, chemistry, biology, medicine, economics, ecology, sociology, psychology, political science, etc. are all considered through this uniform lens. The author describes...
2nd edition. — CRC Press, 2022. — 386 p. — ISBN 9780367076115. Math and Art: An Introduction to Visual Mathematics explores the potential of mathematics to generate visually appealing objects and reveals some of the beauty of mathematics. With downloadable resources and a 16-page full-color insert, it includes numerous illustrations, computer-generated graphics, photographs,...
New York: Springer, 2021. — 437 p. Landscape of 21st Century Mathematics offers a detailed cross section of contemporary mathematics. Important results of the 21st century are motivated and formulated, providing an overview of recent progress in the discipline.
CRC Press, 2022. — xviii, 136 p. — ISBN 978-1032059174, 978-1003199830, 978-1032059198. This book introduces a new method based on algebraic inequalities for optimising engineering systems and processes, with applications in mechanical engineering, materials science, electrical engineering, reliability engineering, risk management and operational research. This book shows that...
Philadelphia: SIAM Society for Industrial and Applied Mathematics, 2005. — 258 p. This collection of papers is a novel publication for SIAM. It is, first and foremost, a forum for leading industrial and government scientists and engineers to describe their work and what they hope to accomplish over the next decade. The goal is to focus the mathematical community on research...
2nd edition. — Springer, 2021. — 650 p. — ISBN 978-3-030-69578-1. The second edition of Mathematics as a Laboratory Tool reflects the growing impact that computational science is having on the career choices made by undergraduate science and engineering students. The focus is on dynamics and the effects of time delays and stochastic perturbations (“noise”) on the regulation...
New York: Springer, 2021. — 650 p. The second edition of Mathematics as a Laboratory Tool reflects the growing impact that computational science is having on the career choices made by undergraduate science and engineering students. The focus is on dynamics and the effects of time delays and stochastic perturbations (“noise”) on the regulation provided by feedback control...
Oakville: Arcler Press, 2020. — 366 p. Modeling in Mathematics deals with the concept of modeling in the field of mathematics. It includes a statistical and spectral model for representing noisy sounds with short-time sinusoids, robust Bayesian regularized estimation based on regression model and robust quadratic regression and its application to energy-growth consumption...
New York: Springer, 2010. — 405 p. Several mathematical areas that have been developed independently over the last 30 years are brought together revolving around the computation of the number of integral points in suitable families of polytopes. The problem is formulated here in terms of partition functions and multivariate splines. In its simplest form, the problem is to...
Л.: ЛКИ, 1936. — 183 с. Попытка обобщения аппарата комплексных чисел на случай трёх составляющих (действительной, мнимой и триплексной). Скан рукописного текста.
Cambridge: Cambridge University Press, 2008. — 456 p. Certain nonlinear optimization problems arise in such areas as the theory of computation, pure and applied probability, and mathematical physics. These problems can be solved through linear methods, providing the usual number system is replaced with one that satisfies the idempotent law. Only recently has a systematic study...
Hoboken (NJ): John Wiley & Sons, 2020. - 466 p. - ISBN 1119585503. Brings mathematics to bear on your real-world, scientific problems Mathematical Methods in Interdisciplinary Sciences provides a practical and usable framework for bringing a mathematical approach to modelling real-life scientific and technological problems . The collection of chapters Dr. Snehashish Chakraverty...
Учебное мультимедийное издание. — Тамбов: Тамбовский государственный технический университет (ТГТУ), 2018. — 82 с.: ил. — ISBN 978-5-8265-1905-9. Издание знакомит студентов с языком математики, сопряженным с эстетической культурой. Содержит информацию об основных категориях наук эстетики и математики, знакомит с этапами развития научной математической и эстетической мысли....
Учебное мультимедийное издание. — Тамбов: Тамбовский государственный технический университет (ТГТУ), 2018. — 82 с.: ил. — ISBN 978-5-8265-1905-9. Издание знакомит студентов с языком математики, сопряженным с эстетической культурой. Содержит информацию об основных категориях наук эстетики и математики, знакомит с этапами развития научной математической и эстетической мысли....
Учебное мультимедийное издание. — Тамбов: Тамбовский государственный технический университет (ТГТУ), 2018. — 82 с.: ил. ISBN 978-5-8265-1905-9. Издание знакомит студентов с языком математики, сопряженным с эстетической культурой. Содержит информацию об основных категориях наук эстетики и математики, знакомит с этапами развития научной математической и эстетической мысли....
Berlin: Springer, 2011. — 147 p. This unique book presents real world success stories of collaboration between mathematicians and industrial partners, showcasing first-hand case studies, and lessons learned from the experiences, technologies, and business challenges that led to the successful development of industrial solutions based on mathematics. These success stories show...
Pearson, 2018. — 249 p. This book covers all the content needed for the optional Edexcel AS and A level Further Pure Mathematics 1 exams. Fully updated to match the new specifications, with more of a focus on problem-solving and modelling as well as supporting the large data set and new calculators.
American Mathematical Society, 2020. — 189 p. — ISBN 9781470456351. Диалоговое Решение задач This book features mathematical problems and results that would be of interest to all mathematicians, but especially undergraduates (and even high school students) who participate in mathematical competitions such as the International Math Olympiads and Putnam Competition. The format is...
4 издание. — М.: Лаборатория знаний, 2021. — 291 с. В книге собраны красивые и глубокие теоремы из различных областей теории чисел, геометрии, анализа, комбинаторики, теории графов. Доказательства этих теорем используют неожиданные сочетания разнородных идей. Изложение материала сопровождается большим числом иллюстраций. Книга предназначена всем, кто увлечен математикой: в...
Cambridge: Cambridge University Press, 2021. — 338 p. Build the skills for determining appropriate error limits for quantities that matter with this essential toolkit. Understand how to handle a complete project and how uncertainty enters into various steps. Provides a systematic, worksheet-based process to determine error limits on measured quantities, and all likely sources...
Челябинск: Южно-Уральский государственный гуманитарно-педагогический университет (ЮУрГГПУ), 2020. – 51 с. Настоящее издание содержит тексты для изучения курса «Актуальные проблемы математических наук» для магистерской программы в ЮУрГГПУ. Тексты являются переводами фрагментов двух книг: Элайди С. Введение в разностные уравнения. Шпрингер. 2005. Гримальди Р. Дискретная и...
New York: Springer, 2021. — 525 p. This book focuses on the latest approaches and methods in fundamental mathematics and mechanics, and discusses the practical application of abstract mathematical approaches, such as differential geometry, and differential and difference equations in solid mechanics, hydrodynamics, aerodynamics, optimization, decision-making theory and control...
New York: Springer, 2020. — 299 p. This book delivers stimulating input for a broad range of researchers, from geographers and ecologists to psychologists interested in spatial perception and physicists researching in complex systems. How can one decide whether one surface or spatial object is more complex than another? What does it require to measure the spatial complexity of...
Boston: Elsevier Inc, 2021. — 407 p. Advances in Mathematics for Industry 4.0 examines key tools, techniques, strategies, and methods in engineering applications. By covering the latest knowledge in technology for engineering design and manufacture, chapters provide systematic and comprehensive coverage of key drivers in rapid economic development. Written by leading industry...
Boca Raton: CRC Press, 2004. — 404 p. This reference serves as a reader-friendly guide to every basic tool and skill required in the mathematical library and helps mathematicians find resources in any format in the mathematics literature. It lists a wide range of standard texts, journals, review articles, newsgroups, and Internet and database tools for every major subfield in...
Springer, 2020. — 477 p. — ISBN: 978-3-030-42653-8. Imagine mathematics, imagine with the help of mathematics, imagine new worlds, new geometries, new forms. Imagine building mathematical models that make it possible to manage our world better, imagine solving great problems, imagine new problems never before thought of, imagine combining music, art, poetry, literature,...
2nd Edition. — Springer, 2019. — xviii, 218 p. — (Undergraduate Texts in Mathematics). — ISBN: 978-3-319-05653-1, 978-3-319-05654-8, 978-3-030-00632-7. Designed for an undergraduate course or for independent study, this text presents sophisticated mathematical ideas in an elementary and friendly fashion. The fundamental purpose of this book is to teach mathematical thinking...
Springer, 2014. — 176 p. — (Undergraduate Texts in Mathematics). — ISBN: 978-3-319-05653-1, 978-3-319-05654-8, 978-3-030-00632-7. Designed for an undergraduate course or for independent study, this text presents sophisticated mathematical ideas in an elementary and friendly fashion. The fundamental purpose of this book is to teach mathematical thinking while conveying the...
New York: Springer, 2020. — 364 p. This volume highlights the mathematical research presented at the 2019 Association for Women in Mathematics (AWM) Research Symposium held at Rice University, April 6-7, 2019. The symposium showcased research from women across the mathematical sciences working in academia, government, and industry, as well as featured women across the career...
Oxford: Pergamon Press, 1967. — 114 p. The seven lectures comprising the chapters of this book formed the programme for the 1966 Easter Conference in Mathematics at Bedford College, London. These conferences are given annually and the 1965 lectures were published in Exploring University Mathematics, vol. 1 (Pergamon Press). In the Foreword to this. Professor Eggleston says:...
Oxford: Pergamon Press, 1967. — 120 p. The lectures in this book were given at the 1965 Bedford College Easter Conference in Mathematics. These conferences have been held annually since 1963 when we initiated the programme with what we believe to have been the first conference of its kind held by any university in Britain. Our aims were (a) to increase the contact between...
6th Edition. — Pearson, 2020. — 674 р. — ISBN: 978-0-13-511562-6. Active learning for active minds. The authors of the Mathematics in Action series believe that students learn mathematics best by actually doing the math within a realistic context. If a student is taking this course, why teach them the same content in the same way that they’ve already seen–yet did not retain?...
New York: Chapman and Hall/CRC, 2019. — 361 p. Neutrices and External Numbers: A Flexible Number System introduces a new model of orders of magnitude and of error analysis, with particular emphasis on behaviour under algebraic operations. The model is formulated in terms of scalar neutrices and external numbers, in the form of an extension of the nonstandard set of real...
New York: Wolfram Media, 2020. — 287 p. — ISBN: 9781579550295, 1579550290. Why are we all taught maths for years of our lives? Does it really empower everyone? Or fail most and disenfranchise many? Is it crucial for the AI age or an obsolete rite of passage? The Math(s) Fix: An Education Blueprint for the AI Age is a groundbreaking book that exposes why maths education is in...
Москва: АСВ, 2008. — 128 с. — ISBN 978-5-93093-544-8. В брошюре приводятся общие понятия о симметрии и асимметрии плоских геометрических фигур, физических законов; рассматриваются некоторые виды геометрических преобразований плоских фигур (аффинные преобразования, симметризация Штейнера и Шварца); обсуждаются вопросы подобия с точностью до геометрического преобразования....
Huntington Beach: Shell Educational Publishing, 2019. — 378 p. Foreword Preface to the Second Edition Guided Math: A Framework for Mathematics Instruction Instructional Components of Guided Math Guided Math in Practice Levels of Teacher Support Scheduling Guided Math Components Review and Reflect Creating an Environment of Numeracy Foundational Principles of a Guided Math...
Springer, 2020. — 186 p. — (RSME Springer Series 04). — ISBN: 978-3-030-41320-0. This volume comprises high-quality works in pure and applied mathematics from the mathematical communities in Spain and Brazil. A wide range of subjects are covered, ranging from abstract algebra, including Lie algebras, commutative semigroups, and differential geometry, to optimization and control...
World Scientific Publishing, 2019. — 222 p. — ISBN: 9813276460. A mathematical billiard is a mechanical system consisting of a billiard ball on a table of any form (which can be planar or even a multidimensional domain) but without billiard pockets. The ball moves and its trajectory is defined by the ball's initial position and its initial speed vector. The ball's reflections...
Paris: European Mathematical Society, 2020. — 397 p. This is volume 2 of a 2-volume work comprising a total of 14 refereed research articles which stem from the CARMA Conference (Algebraic Combinatorics, Resurgence, Moulds and Applications), held at the Centre International de Rencontres Mathématiques in Luminy, France, from June 26 to 30, 2017. The conference did notably...
Paris: European Mathematical Society, 2020. — 358 p. IRMA Lectures in Mathematics and Theoretical Physics Vol. 31 This is volume 1 of a 2-volume work comprising a total of 14 refereed research articles which stem from the CARMA Conference (Algebraic Combinatorics, Resurgence, Moulds and Applications), held at the Centre International de Rencontres Mathématiques in Luminy,...
New York: Springer, 2020. — 784 p. This book presents essential information on modern location science – in a word, all you need to know about location. The second edition of this handbook has been fully revised throughout, with numerous updates and chapters added, to offer an even more comprehensive overview of methods and applications. The book is divided into three parts: basic...
Singapore: World Scientific Publishing Company, 2009. — 291 p. This book was originally written in 1969 by Berkeley mathematician John Rhodes. It is the founding work in what is now called algebraic engineering, an emerging field created by using the unifying scheme of finite state machine models and their complexity to tie together many fields: finite group theory, semigroup...
Singapore: Springer, 2020. — 325 p. This book discusses significant research findings in the field of mathematical modelling, with particular emphasis on important applied-sciences, health, and social issues. It includes topics such as model on viral immunology, stochastic models for the dynamics of influenza, model describing the transmission of dengue, model for human...
Princeton University Press, 2019. — 304 p. — ISBN: 9780691198354; ISBN: 9780691198675. The year's finest mathematical writing from around the world. This annual anthology brings together the year’s finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2019 makes...
American Mathematical Society, 2019. — 304 p. — (Pure and Applied Undergraduate Texts 39). — ISBN: 978-1-4704-4932-2; ISBN: 978-1-4704-5352-7. This book introduces students to the world of advanced mathematics using algebraic structures as a unifying theme. Having no prerequisites beyond precalculus and an interest in abstract reasoning, the book is suitable for students of...
Springer, 2016. — 300 S. Sie studieren Mathematik und schreiben eine Bachelor- oder Masterarbeit? Sie schreiben eine Seminararbeit oder gar ein mathematisches Buch? Am Ende hängt der Erfolg Ihrer Arbeit davon ab, ob Sie Ihre Gedanken verständlich und ansprechend zu Papier bringen, in gutem Stil also. Guten Stil erkennt man sofort. Die Wege zu gutem Stil aber sind etwas länger...
Rev. 5th. ed. — Castle Douglas (Scotland): Inspiration Books, 2009. — 210 p. — ASIN B07TNJLGFZ. This book consists of a series of examples, with explanations, illustrating the scope and versatility of the Vedic mathematical formulae, as applied in various areas of elementary mathematics. Solutions to 'O' and 'A' level examination questions by Vedic methods are also given at the...
Paris: European Mathematical Society, 2019. — 435 p. This book is a collection of survey articles about spectral structures and the application of topological methods bridging different mathematical disciplines, from pure to applied. The topics are based on work done in the Collaborative Research Centre (SFB) 701. Notable examples are non-crossing partitions, which connect...
Oxford Science Publications, Clarendon Press, 1987. — 206 p. The word 'mathematics' usually conjures up a world of more-or-less familiar problems to be solved by more-or-less familiar techniques. This book examines a very different aspect of mathematics, namely how one can begin to explore unfamiliar, fresh ideas and chance observations, how one canpursue them through various...
М.: Фазис, 2005. — 63 с. В семинаре института математики Университетов Париж-6 и Париж-7 15.06.2005 мнение автора, что студентов следует учить, что 7 • 8 = 56, оспаривалось коллегами-французами, предпочитающими учить их, что 7 • 8 = 8 • 7. Автор не думал, что его речь в пользу сохранения обучения математике нужна в России, где с ним и так все согласны, пока не прочёл в Известиях...
New York: Springer, 2019. — 702 p. MATRIX is Australia’s international and residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each 1-4 weeks in duration. This book is a scientific record of the eight programs held at MATRIX in its second year, 2017: - Hypergeometric Motives...
New York: Chapman and Hall/CRC, 2001. — 164 p. — ISBN: 978-1584881490, 1584881496. You know mathematics. You know how to write mathematics. But do you know how to produce clean, clear, well-formatted manuscripts for publication? Do you speak the language of publishers, typesetters, graphics designers, and copy editors? Your page design-the style and format of theorems and...
Б.м.: б.и., 2007. — 281 p. The tradition in mathematics is that the profession is a sink-or-swim operation. Nobody tells you, once you earn the venerable Ph.D., what you are supposed to do next. If you are lucky, your thesis advisor will get you a job. If you are especially lucky, this will be an academic job. But, in point of fact, there are many choices these days. Your first...
Springer, 2019. — 454 p. — ISBN: 3030190951. Do there exist mathematical theorems like the songs of The Beatles, who had stadiums of fans at their concerts ? That is, theorems which are sufficiently difficult and important to be accepted for publication into a leading mathematical journal, but at the same time with a sufficiently simple formulation which can be understood and...
СПб.: Лань, 2017. — 516 с. В рамках математического учения о гармонии в широком междисциплинарном аспекте рассматриваются теоретические и прикладные вопросы последовательностей Фибоначчи, основанные на синтезе математических и математико-лингвистических представлений о гармонии. Математический инструментарий этого учения представлен сведениями из теории рекурсий, алгебраических...
Москва; Ереван: без изд., 2019. — 149 с. Разработан новый метод исследования математических проблем, в которых используется понятие числа. Он основан на понятии матрицы остатков. Элементы этих матриц являются остатки от деления некоторых наборов натуральных чисел на простые числа. Подробно изучена структура таких матриц, установлены закономерности распределения в них нулевых и...
Springer, 2013. — 434 p. — ISBN: 0817684050. This book is written for people who think that mathematics is beautiful, for people who want to expand their mathematical horizons and sharpen their skills. The best way to sharpen mathematical skills is to use them in solving problems. Jacobi Identities and Related Combinatorial Formulas A Property of Recurrent Sequences. A...
Springer, 2019. — 361 p. — (ICME-13 Monographs). — ISBN: 978-3-030-10471-9. This book contributes to the field of mathematical problem solving by exploring current themes, trends and research perspectives. It does so by addressing five broad and related dimensions: problem solving heuristics, problem solving and technology, inquiry and problem posing in mathematics education,...
Princeton: Princeton University Press, 2019. — 272 p. — ISBN: 9780691185422. An exploration of mathematical style through 99 different proofs of the same theorem ! This book offers a multifaceted perspective on mathematics by demonstrating 99 different proofs of the same theorem. Each chapter solves an otherwise unremarkable equation in distinct historical, formal, and...
New York: Autoedition, 2016. — 239 p. This lab manual is designed to accompany the textbook Foundations of Applied Mathematics by Humpherys and Jarvis. SQL Intro to pandas State Machines Web Scraping Web Technologies Introduction to Parallel Programming Collective Communication in Parallel Programs MongoDB Principal Component Analysis Latent Semantic Indexing Kalman Filter...
Springer, 2018. — 573 p. — (Research in Mathematics Education). — ISBN: 978-3-319-99860-2. The innovative volume seeks to broaden the scope of research on mathematical problem solving in different educational environments. It brings together contributions not only from leading researchers, but also highlights collaborations with younger researchers to broadly explore...
Springer, 2018. — 573 p. — (Research in Mathematics Education). — ISBN: 3319998609. The innovative volume seeks to broaden the scope of research on mathematical problem solving in different educational environments. It brings together contributions not only from leading researchers, but also highlights collaborations with younger researchers to broadly explore mathematical...
Springer, 2018. — 381 p. — (Research in Mathematics Education). — ISBN: 3319987666. This unique volume surveys recent research on spatial visualization in mathematics in the fields of cognitive psychology and mathematics education. The general topic of spatial skill and mathematics has a long research tradition, but has been gaining attention in recent years, although much of...
Springer, 2018. — 381 p. — (Research in Mathematics Education). — ISBN: 3319987666. This unique volume surveys recent research on spatial visualization in mathematics in the fields of cognitive psychology and mathematics education. The general topic of spatial skill and mathematics has a long research tradition, but has been gaining attention in recent years, although much of...
The Great Courses, 2012. — 167 p. This course presumes no prior knowledge and will begin with the basics of logic and some foundational mathematical ideas. Armed with this background, you will proceed into the world of proof, discussing fundamental structure and various proof techniques—including direct proof, indirect proof, and proof by induction. As this course will emphasize...
Springer, 2018. — 317 p. — ISBN: 978-3-319-93948-3. Imagine mathematics, imagine with the help of mathematics, imagine new worlds, new geometries, new forms. Imagine building mathematical models that make it possible to manage our world better, imagine combining music, art, poetry, literature, architecture and cinema with mathematics. Imagine the unpredictable and sometimes...
New York: Johns Hopkins University Pres, 1989. — 432 p. Proceedings of the JAMI Inaugural Conference Foreword Towards a Local Trace Formula Crystalline Cohomology and P-Adic Galois—Representations On Fourier Coefficients of Eisenstein Series Quasicharacters of Congruence Groups Nearly Ordinary Hecke Algebras and Galois Representations of Several Variables , On The Presentations...
New York: Routledge, 2016. — 221 p. More Trouble with Maths acknowledges that there are many reasons why children and adults are unable to function mathematically. Difficulties include problems with rote learning basic facts and procedures, debilitating anxiety, poor working and short-term memories and mathematics vocabulary. Central to this new edition is a range of standardised...
Basel: Birkhäuser, 2015. — 211 p. This monograph considers several well-known mathematical theorems and asks the question, “Why prove it again?” while examining alternative proofs. It explores the different rationales mathematicians may have for pursuing and presenting new proofs of previously established results, as well as how they judge whether two proofs of a given result...
New York: Springer, 2018. — 685 p. This book, 2016 MATRIX Annals, is a scientific record of the five programs held at MATRIX in 2016: Higher Structures in Geometry and Physics Winter of Disconnectedness Approximation and Optimisation Refining C*-Algebraic Invariants for Dynamics Using KK-Theory Interactions Between Topological Recursion, Modularity, Quantum Invariants and...
6th ed. — Springer, 2018. — 313 p. — ISBN: 978-3-662-57264-1. It is now nearly twenty years ago that we presented the first edition of our book on occasion of the International Congress of Mathematicians in Berlin 1998. At that time we could not possibly imagine the wonderful and lasting response our book about The Book would have, with all the warm letters, interesting comments...
М.: Московский центр непрерывного математического образования (МЦНМО), 2018. — 185 с. В первой части книги выдающийся математик В. И. Арнольд в полемической форме рассуждает о соотношении чистой и прикладной математики. Вторая часть книги содержит записи курсов лекций, прочитанных автором в Дубне в 2005 году, на летней школе «Современная математика». В ней рассказывается о...
American Mathematical Society, 2005. — 176 p. — ISBN: 0821839195. Mathematical billiards describe the movement of a mass element in a website with elastic reflections off the boundary or, equivalently, the habit of rays of sunshine in a site with preferably reflecting boundary. From the viewpoint of differential geometry, the billiard circulate is the geodesic movement on a...
American Mathematical Society, 2005. — 176 p. — ISBN: 0821839195. Mathematical billiards describe the movement of a mass element in a website with elastic reflections off the boundary or, equivalently, the habit of rays of sunshine in a site with preferably reflecting boundary. From the viewpoint of differential geometry, the billiard circulate is the geodesic movement on a...
М.; Ижевск: Регулярная и хаотическая динамика, Ижевский институт компьютерных исследований, 2011. — 180 с. — ISBN: 978-5-93972-905-5. Математические биллиарды описывают движение материальной точки в области с упруго отражающими границами. Биллиарды - это не отдельная математическая теория, это скорее игровая площадка для математиков, где можно опробовать и отполировать...
Монография. — М.: Спутник +, 2018. — 19 с. — ISBN 978-5-9973-4645-4. Данная монография посвящена вопросам взаимосвязи математики и информатики. Исследуется предмет математики, отношения математики и информатики. Рассматриваются учебные пособия, дающие основополагающие разделы математики, необходимые для понимания более продвинутых курсов по информатике. Дан перечень журналов по...
Princeton: Princeton University Press, 2015. — 1030 p. — ISBN: 978-0-691-15039-0. This is the most authoritative and accessible single-volume reference book on applied mathematics. Featuring numerous entries by leading experts and organized thematically, it introduces readers to applied mathematics and its uses; explains key concepts; describes important equations, laws, and...
Dover Publications, 1965. — 438 p. — ISBN: 0-486-63730-1. 566 problems and answers impossible to find in any other single source. Topics include steady-state harmonic oscillations, the Fourier method, and the eigenfunction method for solving inhomogeneous problems. More advanced problems deal with integral transforms, curvilinear coordinates, and integral equations. Detailed...
Chapman & Hall/CRC, 2006. — 268 p. Presenting new results along with research spanning five decades, Fractional Cauchy Transforms provides a full treatment of the topic, from its roots in classical complex analysis to its current state. Self-contained, it includes introductory material and classical results, such as those associated with complex-valued measures on the unit...
М.: Наука, 1964. — 168 с. — (Современные проблемы математики). В настоящий сборник включены некоторые элементарные задачи, цель которых — указать характер возможных формулировок и тип математических схем, которые могут быть полезны в некоторых будущих физических теориях.
М.: Наука, 1964. — 168 с. — (Современные проблемы математики). В настоящий сборник включены некоторые элементарные задачи, цель которых — указать характер возможных формулировок и тип математических схем, которые могут быть полезны в некоторых будущих физических теориях.
Adelaide Airport: Haese Mathematics, 2006. — 128 p. This Guide aims to help you prepare for the IB Mathematical Studies SL final examinations. It should be used in conjunction with your textbook and other material suggested by your teacher. The Guide covers Topics 2-8 in the syllabus. Each topic begins with a concise summary of key facts and includes a number of worked examples...
New York: Springer, 2018. — 439 p. This book gathers selected papers presented at the conference of the Forum for Interdisciplinary Mathematics (FIM), held at Palau Macaya, Barcelona, on 18 to 20 November, 2015. The event was co-organized by the University of Barcelona (Spain), the Spanish Royal Academy of Economic and Financial Sciences (Spain) and the Forum for...
М.; Ижевск: Институт компьютерных исследований, 2012. — 808 с. — ISBN: 978-5-4344-0050-3. Настоящее издание содержит основные работы выдающегося российского математика Николая Викторовича Азбелева (1922–2006). Работы сконцентрированы по разделам: интегральные и дифференциальные неравенства, приближенные методы, общая теория функционально-дифференциальных уравнений,...
М. : Институт компьютерных исследований ; Ижевск : Регулярная и хаотическая динамика, 2010. — 674 с. — ISBN: 978-5-93972-799-0. Сборник посвящен 60-летию крупного российского математика и механика Валерия Васильевича Козлова. Здесь представлены его основные работы по разным областям динамических систем, написанные им в разные годы. Подборка статей представляет собой введение в...
New York: Springer, 2018. — 428 p. The text gathers the results of a literature review comprising all papers addressing mathematical creativity and giftedness presented at the International Congress on Mathematical Education (ICME) conferences since 2000. How can mathematical creativity contribute to children’s balanced development? What are the characteristics of mathematical...
М.: Альпина Паблишер, 2018. — 290 с. Любую задачу можно решить разными способами, однако в учебниках чаще всего предлагают только один вариант решения. Настоящее умение заключается не в том, чтобы из раза в раз использовать стандартный метод, а в том, чтобы находить наиболее подходящий, пусть даже и необычный, способ решения. В этой книге рассказывается о десяти различных...
Singapore: Springer, 2017. — 373 p. The book includes articles from eminent international scientists discussing a wide spectrum of topics of current importance in mathematics and statistics and their applications. It presents state-of-the-art material along with a clear and detailed review of the relevant topics and issues concerned. The topics discussed include message...
Washington: MAA, 1999. — 117 p. Problem solving in mathematics is often thought of as a one way process. For example: take two numbers and multiply them together. However for each problem there is also an inverse problem which runs in the opposite direction: now take a number and find a pair of factors. Such problems are considerably more important, in mathematics and throughout...
Nova Science Publishers, Inc., 2017. — 315 p. — (Mathematics Research Developments) — ISBN10: 1634856988. This book presents current research in the field of applied mathematics. Topics discussed include, Linear Systems, the Discrete Davey-Stewart System, Kukles Systems, nonlinear equations, differential equations, and many other advanced and relevant topics in mathematics....
American Mathematical Society, 1996. — 456 p. — ISBN10: 082180619X; ISBN13: 978-0821806197. The purpose of this book is to teach the basic principles of problem solving, including both mathematical and nonmathematical problems. This book will help students to: Translate verbal discussions into analytical data Learn problem-solving methods for attacking collections of analytical...
Berlin: Springer, 2011. — 185 p. The development of harmonic analysis on non-commutative groups is not just a straightforward generalization of the commutative case. It requires new ideas but it also gives rise to new problems which are far from being solved. For instance, the approximation theorem for non-amenable groups and for p 6D 2 is still out of reach. The investigation of...
Taylor and Francis , 1997 - 187 p. This book shows how creative maths can really work. Exploring the ways in which maths skills can be learned through cross-curricular activities based on visual arts and music, the book presents maths as a meaningful and exciting subject which holds no fears for children. The authors recognise that while maths-phobia prevails in our increasingly...
New York: Springer, 2017. — 568 p. In this book, topics such as algebra, trigonometry, calculus and statistics are brought to life through over 500 applications ranging from biology, physics and chemistry to astronomy, geography and music. With over 600 illustrations emphasizing the beauty of mathematics, Math Tools complements more theoretical textbooks on the market, bringing...
Сборник докладов общематического семинара. — М.: Московский центр непрерывного математического образования (МЦНМО), 2011. — 176 с. — ISBN 978-5-94057-847-5. Цель семинара «Глобус» - по возможности восстановить единство математики. Семинар рассчитан на математиков всех специальностей, аспирантов и студентов. Пятый выпуск включает доклады: Ю.И. Манин. Георг Кантор и XX век. В.В....
М.: Московский центр непрерывного математического образования (МЦНМО), 2009. — 224 с. — ISBN 978-5-94057-508-5. Цель семинара «Глобус» - по возможности восстановить единство математики. Семинар рассчитан на математиков всех специальностей, аспирантов и студентов. Четвертый выпуск включает доклады: С. Г. Влэдуц. От основной теоремы арифметики до бесконечных глобальных полей. Р....
М.: Московский центр непрерывного математического образования (МЦНМО), 2006. — 164 с. — ISBN 5-94057-259-6. Цель семинара «Глобус» - по возможности восстановить единство математики. Семинар рассчитан на математиков всех специальностей. аспирантов и студентов. Третий выпуск включает доклады: А.Г. Хованский. Системы уравнений с многогранниками Ньютона общего положения. А.Г....
М.: Московский центр непрерывного математического образования (МЦНМО), 2005. — 216 с. — ISBN 5-94057-069-0. Цель семинара «Глобус» - по возможности восстановить единство математики. Семинар рассчитан на математиков всех специальностей, аспирантов и студентов. Второй выпуск включает доклады: Н.С. Надирашвили. Средние значения и гармонические функции. Ю.Г. 3аpхин. Классы Вейля и...
Basel: Birkhäuser, 2017. — 171 p. This book is a collection of papers presented at the “Archimedes in the 21st Century” world conference, held at the Courant Institute of Mathematical Sciences in 2013. This conference focused on the enduring and continuing influence of Archimedes in our modern world, celebrating his centuries of influence on mathematics, science, and...
Johns Hopkins University Press, 2016. — 201 p. — ISBN: 142142035X. Visualizing Mathematics with 3D Printing includes more than 100 color photographs of 3D printed models. Readers can take the book’s insights to a new level by visiting its sister website, 3dprintmath.com, which features virtual three-dimensional versions of the models for readers to explore. These models can...
Providence: American Mathematical Society, 2016. — 292 p. This volume contains the proceedings of the Conference on Mathematics and its Applications–2014, held from November 14–17, 2014, at Kuwait University, Safat, Kuwait. Papers contained in this volume cover various topics in pure and applied mathematics ranging from an introductory study of quotients and homomorphisms of...
Imperial College Press, 2007. — 492 p. — ISBN: 1860948286. This book contains the first systematic exposition of the global and local theory of dynamics equivariant with respect to a (compact) Lie group. Aside from general genericity and normal form theorems on equivariant bifurcation, it describes many general families of examples of equivariant bifurcation and includes a...
Springer International Publishing, Switzerland, 2015. — 322 p. — ISBN10: 3319012304. Imagine mathematics, imagine with the help of mathematics, imagine new worlds, new geometries, new forms. This volume in the series "Imagine Math" casts light on what is new and interesting in the relationships between mathematics, imagination and culture. The book opens by examining the...
Springer, 2012. — 263 p. — ISBN: 978-88-470-2426-7. Imagine mathematics, imagine with the help of mathematics, imagine new worlds, new geometries, new forms. Imagine building mathematical models that make it possible to manage our world better, imagine solving great problems, imagine new problems never before thought of, imagine music, art, poetry, literature, architecture,...
American Mathematical Society, 2016. — 233 p. — (Pure and Applied Undergraduate Texts 26) — ISBN: 1470428997. This accessible textbook gives beginning undergraduate mathematics students a first exposure to introductory logic, proofs, sets, functions, number theory, relations, finite and infinite sets, and the foundations of analysis. The book provides students with a quick path...
Academic Press, 2017. — 217 p. — ISBN: 978-0-12-810998-4. This book presents a wide array of applied mathematical techniques for an equally wide range of engineering applications, covering areas such as acoustics, system engineering, optimization, mechanical engineering, and reliability engineering. Mathematics acts as a foundation for new advances, as engineering evolves and...
Cборник трудов. — Ярославль; Рыбинск: Рыбинский Дом печати, 2010. — 320 с. — ISBN 978-5-88697-206-1. Настоящее издание представляет собой сборник трудов известного математика, профессора Анатолия Юрьевича Левина (1936 - 2007). Представлены работы по основным направлениям научной деятельности А.Ю. Левина: теория обыкновенных дифференциальных уравнений, функциональный анализ,...
New York: Springer, 2014. — 783 p. — ISBN: 978-1-4939-1106-6. The contributions in this volume have been written by eminent scientists from the international mathematical community and present significant advances in several theories, methods and problems of Mathematical Analysis, Discrete Mathematics, Geometry and their Applications. The chapters focus on both old and recent...
New York: Springer, 2014. — 648 p. This volume consists of chapters written by eminent scientists and engineers from the international community and present significant advances in several theories, methods and applications of an interdisciplinary research. These contributions focus on both old and recent developments of Global Optimization Theory, Convex Analysis, Calculus of...
Providence: American Mathematical Society, 2012. — 93 p. The International Society for Analysis, its Applications and Computation (ISAAC) has held its international congresses biennially since 1997. This proceedings volume reports on the progress in analysis, applications and computation in recent years as covered and discussed at the 7th ISAAC Congress. This volume includes...
Basel: Birkhäuser, 2015. - 211 p. This monograph considers several well-known mathematical theorems and asks the question, “Why prove it again?” while examining alternative proofs. It explores the different rationales mathematicians may have for pursuing and presenting new proofs of previously established results, as well as how they judge whether two proofs of a given result...
Singapore: World Scientific, 2016. — 337 p. Inequalities, originated from human beings’ daily activities, are significant tools in diverse disciplines of science, technology and engineering nowadays. Although the development of the theory of inequalities could date back to very early time and a lot of mathematicians had made contributions before the 20th century, among whom we...
New Delhi: Springer, 2017. — 436 p. This book constitutes the proceedings of the Third International Conference on Mathematics and Computing, ICMC 2017, held in Haldia, India, in January 2017. The 35 papers presented in this volume were carefully reviewed and selected from 129 submissions. They were organized in topical sections named: security and privacy; computing; applied...
Springer, 2017. — 681 p. — (Advances in Mathematics Education). — ISBN: 3319513788. This volume collects most recent work on the role of technology in mathematics education. It offers fresh insight and understanding of the many ways in which technological resources can improve the teaching and learning of mathematics. The first section of the volume focuses on the question how...
Washington: Mathematical Association of America, 2013. — 188 p. — (Mathematics Through Inquiry). — ISBN: 9781939512031, 1939512034. Mathematics is not a spectator sport: successful students of mathematics grapple with ideas for themselves. Distilling Ideas presents a carefully designed sequence of exercises and theorem statements that challenge students to create proofs and...
Piscataway: IEEE Press, 1992. — 136 p. This book is about writing in the professional mathematical environment. While the book is nominally about writing, it's also about how to function in the mathematical profession. In many ways, this text complements Krantz's previous bestseller, How to Teach Mathematics. Those who are familiar with Krantz's writing will recognize his lively,...
2nd Edition. — ArXiv, 2016. — 276 p. This book is dedicated to Paul Halmos. For the example he has set for us all. This is a tract on the art and practice of mathematical writing. Not only does the book cover basic principles of grammar, syntax, and usage, but it takes into account developments of the last twenty years that have been inspired by the Internet. There is...
Springer, 2015. — 318 p. — (Mathematics Education in the Digital Era 4). — ISBN: 978-94-017-9516-6. Digital games offer enormous potential for learning and engagement in mathematics ideas and processes. This volume offers multidisciplinary perspectives—of educators, cognitive scientists, psychologists and sociologists—on how digital games influence the social activities and...
2nd edition. — Springer, 2017. — 248 p. — ISBN: 978-3-319-50930-3. This monograph aims to promote original mathematical methods to determine the invariant measure of two-dimensional random walks in domains with boundaries. Such processes arise in numerous applications and are of interest in several areas of mathematical research, such as Stochastic Networks, Analytic...
London: Springer, 2014. — 397 p. Based on the seminar that took place in Dagstuhl, Germany in June 2011, this contributed volume studies the four important topics within the scientific visualization field: uncertainty visualization, multifield visualization, biomedical visualization and scalable visualization. Uncertainty visualization deals with uncertain data from simulations...
Tokyo: Springer, 2013. - 149 p. Japan is a tiny country that occupies only 0.25% of the world’s total land area. However, this small country is the world’s third largest in economy: the Japanese GDP is roughly equivalent to the sum of any two major countries in Europe as of 2012. This book is a first attempt to ask leaders of top Japanese companies, such as Toyota, about their...
New York: Pearson, 2015. — 760 p. Using and Understanding Mathematics: A Quantitative Reasoning Approach prepares students for the mathematics they will encounter in college courses, their future career, and life in general. Its quantitative reasoning approach helps students to build the skills needed to understand major issues in everyday life, and compels students to acquire...
Chicago: CSLI Publications, 2001. — 206 p.
Theorems in automated theorem proving are usually proved by formal logical proofs. However, there is a subset of problems which humans can prove by the use of geometric operations on diagrams, so called diagrammatic proofs. This book investigates and describes how such diagrammatic reasoning about mathematical theorems can be...
Ульяновск: Зебра, 2016. — 164 с. — ISBN: 978-5-9908325-8-9 Предлагается новое понимание этноматематики и ее концептуализация. Представлен подробный анализ становления и развития этноматематики как области научных знаний в зарубежной и отечественной науке. Приведены результаты теоретико-методологического исследования: введенные понятия, принципы, методики. Описаны созданные...
Stanford University, 1987. — 116 p. This report is based on a course of the same name given at Stanford University during autumn quarter, 1987. Mathematical Writing — Issues of technical writing and the effective presentation of mathematics and computer science. Preparation of theses, papers, books, and “literate” computer programs. A term paper on a topic of your choice; this...
М.: Фазис, 2000. — 465 с. — ISBN 5-7036-0060-X. В книге собраны задачи выдающегося советского и российского математика, академика В. И. Арнольда, которые он ставил своим ученикам более 40 лет. Ко многим задачам приведены комментарии, содержащие обзор результатов по данному направлению исследований. Широта охвата самых различных разделов математики делает издание уникальным и...
Учебное пособие. — М.: Российский государственный университет физической культуры, спорта, молодёжи и туризма (РГУФКСМиТ), 2011. — 219 с. Курс лекций предназначен для студентов, обучающихся по специальности 050720.65 «ФК». В курсе лекций согласно требованиям «Государственного образовательного стандарта» рассмотрены основные понятия математики и информатики как взаимосвязанных...
Celephaïs Press, 1888 / 1900. — 230 p.
A New Era of Thought is a non-fiction work written by Charles Howard Hinton, was published in 1888 and reprinted in 1900 by Swan Sonnenschein & Co. Ltd., London. A New Era of Thought is about the fourth dimension and its implications on human thinking. It influenced the work of P.D. Ouspensky, particularly his book Tertium Organum where it...
Upper Saddle River: Prentice Hall, 1998. — 252 p.
For introductory undergraduate courses in mathematics and problem-solving, students preparing for such academic contests as the William Lowell Putnam Mathematical Competition, and advanced high school students studying for the American Mathematical Olympiad. This book presents the principles and specific problem-solving methods...
New York: W H Freeman & Co, 1982. — 667 p.
Jacob's book Mathematics: A Human Endeavor was written for several audiences, but primarily for college general math courses for students who felt they were lousy in math. It is subtitled, A Book for Those who Think they Don't Like the Subject, making it a sort of graduate version of Marilyn Burns very popular and good book for...
New York: Springer, 2016. — 754 p.
The contributions in this volume aim to deepen understanding of some of the current research problems and theories in modern topics such as calculus of variations, optimization theory, complex analysis, real analysis, differential equations, and geometry. Applications to these areas of mathematics are presented within the broad spectrum of...
Springer International Publishing, Switzerland, 2016. — 547 p. — ISBN: 9783319321608 It all started in September 2014, in one of the afternoon coffee/tea meetings that take place on a daily basis in the common room of Fine Hall, the building housing the Mathematics Department of Princeton University. John Nash silently entered the room, poured himself a cup of decaf coffee and...
New York: Springer, 2016. — 183 p.
This book is a collection of papers presented at the “Forum Math-for-Industry 2015” for which the unifying theme was “The Role and Importance of Mathematics in Innovation”, held at the Institute of Mathematics for Industry, Kyushu University, October 26–30, 2015. The theme highlights two key roles that mathematics plays in supporting...
Providence: American Mathematical Society, 2010. — 263 p.
This book illustrates connections between various courses taken by undergraduate mathematics majors. As such it can be used as a text for a capstone course. The chapters are essentially independent, and the instructor can choose the topics that will form the course and thus tailor the syllabus to suit the backgrounds and...
New York: Berghahn Books, 2013. — 231 p. Mathematics is as much a part of our humanity as music and art. And it is our mathematics that might be understandable, even familiar, to a distant race and might provide the basis for mutual communication. This book discusses, in a conversational way, the role of mathematics in the search for extraterrestrial intelligence. The author...
Washington: The Mathematical Association of America, 2007. — 156 p. All mathematicians know that math can be used for a great many things. Educators, who have to wear a generalist's hat most of the time, rarely get the opportunity to demonstrate that fact. As a group, they are largely overworked, forced to deal with their classes, mountains of paperwork and yet somehow find time...
Alpine: AoPS, 2006. - 288p. Exponents and logarithms Complex numbers Linear equations Proportions Using the integers Quadratic equations Special factorizations and clever manipulations What numbers really are An introduction to circles Angles Triangles, a.k.a. geometry Quadrilaterals Polygons Angle chasing- Areas The power of coordinates Power of a point Three dimensional...
М.: Московский центр непрерывного математического образования (МЦНМО), 2006. — 120 с. — ISBN 978-5-94057-282-4. Книга содержит записи лекций, прочитанных академиком В.И. Арнольдом в 2005 г. в рамках летней школы «Современная математика». В книге рассказывается о нескольких новых направлениях математических исследований, основанных на численных экспериментах. Статистика...
New York: The New Press, 2016. - 240p.
Andrew Hacker’s 2012 New York Times op-ed questioning the requirement of advanced mathematics in our schools instantly became one of the paper’s most widely circulated articles. Why, he wondered, do we inflict a full menu of mathematics—algebra, geometry, trigonometry, even calculus—on all young Americans, regardless of their interests or...
Boston: Addison-Wesley, 2012. — 669 p.
The second book of a three-part series, An Introduction to Algebraic, Graphical, and Numerical Problem Solving, Fourth Edition, illustrates how mathematics arises naturally from everyday situations through updated and revised real-life activities and the accompanying practice exercises. Along with the activities and the exercises within...
Hoboken: Wiley, 2016. — 672 p.
Presents a uniquely balanced approach that bridges introductory and advanced topics in modern mathematics
An accessible treatment of the fundamentals of modern mathematics, Principles of Mathematics: A Primer provides a unique approach to introductory and advanced mathematical topics. The book features six main subjects, which can be studied...
New York: AMS, 2012. - 530p.
New mathematics often comes about by probing what is already known. Mathematicians will change the parameters in a familiar calculation or explore the essential ingredients of a classic proof. Almost magically, new ideas emerge from this process. This book examines elementary functions, such as those encountered in calculus courses, from this point...
New York: A K Peters/CRC Press, 2008. — 334 p. The digital era has dramatically changed the ways that researchers search, produce, publish, and disseminate their scientific work. These processes are still rapidly evolving due to improvements in information science, new achievements in computer science technologies, and initiatives such as DML and open access journals,...
Washington, D.C.: The Mathematical Association of America, 1992 — 384 pages.
A delightful collection of articles about people who claim they have achieved the mathematically impossible (squaring the circle, duplicating the cube); people who think they have done something they have not (proving Fermat's Last Theorem); people who pray in matrices; people who find the American...
N.-Y.: Springer, 2010. - 222p. The link between mathematics and art remains as strong today as it was in the earliest instances of decorative and ritual art. Arts, architecture, music and painting have for a long time been sources of new developments in mathematics, and vice versa. Many great painters have seen no contradiction between artistic and mathematical endeavors,...
Roma: Cassini, 2015. — 163 p. Mathematics and Art III Proceedings of the Second ESMA Conference, held in Cagliari, September 18-20, 2013 The deepening of mutual relations between mathematics and the arts today knows a new development, more and more appreciated both by artists and scientists, mathematicians in particular. This volume, the proceedings of the Cagliari Conference...
Princeton: Princeton University Press, 2015. — 1016 p. This is the most authoritative and accessible single-volume reference book on applied mathematics. Featuring numerous entries by leading experts and organized thematically, it introduces readers to applied mathematics and its uses; explains key concepts; describes important equations, laws, and functions; looks at exciting...
Springer, 2014. — 204 p. This book teaches the art of writing mathematics, an essential and difficult skill for any mathematics student. The book begins with an informal introduction on basic writing principles and a review of the essential dictionary for mathematics. Writing techniques are developed gradually, from the small to the large: words, phrases, sentences, paragraphs,...
Charlotte: Information Age Publishing, 2014. — 298 p. Mathematics research papers provide a forum for all mathematics enthusiasts to exercise their mathematical experience, expertise and excitement. The research paper process epitomizes the differentiation of instruction, as each student chooses their own topic and extends it as far as their desire takes them. The features and...
N.-Y.: Springer, 2015. - 349p.
This book, written by an accomplished female mathematician, is the second to explore nonstandard mathematical problems – those that are not directly solved by standard mathematical methods but instead rely on insight and the synthesis of a variety of mathematical ideas. It promotes mental activity as well as greater mathematical skills, and is an...
Laws of Form is an approach to mathematics, and to epistemology, that begins and ends with the notion of a distinction. Nothing could be simpler. A distinction is seen to cleave a domain. A distinction makes a distinction. 1) The form 2) Forms taken out of the form 3) The conception of calculation 4) The primary arithmetic 5) A calculus taken out of the calculus 6) The primary...
This paper is about G. Spencer-Brown's "Laws of Form" and its ramifications. Laws of Form is an approach to mathematics, and to epistemology, that begins and ends with the notion of a distinction. II. Laws of Form III. Paradox IV. The Calculus of Indications V. The Primary Algebra VI. Elementary Logic VII. Parentheses VIII. Idemposition, Curve Arithmetic and Map Coloring IX....
М.: МАКС Пресс, 2003. — 122 с. — (Труды факультета ВМиК МГУ им. М.В. Ломоносова, 14). — ISBN 5-317-00813-1. В труды факультета ВМиК включены работы по темам: численные методы, математическое моделирование. В этих публикациях нашли отражение исследования учёных факультета по актуальным проблемам прикладной математики, выполненных и рамках проекта «Создание учебно-научноrо центра...
М.: МАКС Пресс, 2003. — 122 с. — (Труды факультета ВМиК МГУ им. М.В. Ломоносова, 14). — ISBN 5-317-00813-1. В труды факультета ВМиК включены работы по темам: численные методы, математическое моделирование. В этих публикациях нашли отражение исследования учёных факультета по актуальным проблемам прикладной математики, выполненных и рамках проекта «Создание учебно-научноrо центра...
Chem: Springer, 2014. — 440 p.
This book presents interesting, important unsolved problems in the mathematical and computational sciences. The contributing authors are leading researchers in their fields and they explain outstanding challenges in their domains, first by offering basic definitions, explaining the context, and summarizing related algorithms, theorems, and proofs,...
Springer, 2002. — 337 p. Recent progress in research, teaching and communication has arisen from the use of new tools in visualization. To be fruitful, visualization needs precision and beauty. This book is a source of mathematical illustrations by mathematicians as well as artists. It offers examples in many basic mathematical fields including polyhedra theory, group theory,...
By John Wiley & Sons, 1997. — 864 p. — ISBN: 0471577979 , 0471184373
Aiming to bridge the gap between mathematical models and the social experience of reality, this is a set of two volumes which examine recent developments in dynamical systems theory. It explores the tools - chaos, linear systems theory, evolutionary game theory - and introduces new areas.
NY: Dover Publications, 1991. — 227 p.
While the beauty of mathematics is often discussed, the aesthetic appeal of the discipline is seldom demonstrated as clearly as in this intriguing journey into the realms where art and mathematics merge. Aimed at a wide range of ages and abilities, this engrossing book explores the possibilities of mathematical drawing through compass...
Dordrecht: Kluwer Academic Publishers, 2001. — 427 p.
This book is a collection of essays centred around the subject of mathematical mechanization. It tries to deal with mathematics in a constructive and algorithmic manner so that reasoning becomes mechanical, automated and less laborious. The book is divided into three parts. Part I concerns historical developments of...
N.Y.: Springer, 2015. — 192 p. The book includes lectures given by the plenary and key speakers at the 9th International ISAAC Congress held 2013 in Krakow, Poland. The contributions treat recent developments in analysis and surrounding areas, concerning topics from the theory of partial differential equations, function spaces, scattering, probability theory, and others, as well...
Ижевск: РХД, 2011. – 182 с.
Математические биллиарды описывают движение материальной точки в области с упруго отражающими границами. Биллиарды - это не отдельная математическая теория, это скорее игровая площадка для математиков, где можно опробовать и отполировать различные методы и подходы. Обычно биллиарды изучаются в рамках теории динамических систем. Эта книга подчеркивает...
7th ed. — Cengage Learning, 2010. — 414 p. — ISBN: 0495562025, 9780495562023 A Transition to Advanced Mathematics helps students make the transition from calculus to more proofs-oriented mathematical study. The most successful text of its kind, the 7th edition continues to provide a firm foundation in major concepts needed for continued study and guides students to think and...
Zanichelli, 2005. — 380 p. Il testo è rivolto prevalentemente a studenti di Ingegneria elettronica e Ingegneria delle telecomunicazioni che abbiano già ricevuto una formazione di base nel campo dell’analisi matematica. Esso copre gli argomenti fondamentali per le applicazioni nel campo dell’ingegneria dell’informazione: Analisi funzionale Serie Fourier Funzioni di una variabile...
Springer International Publishing, 2014. — 274 p. — (Springer Proceedings in Mathematics & Statistics). — ISBN: 9783319069227 This volume contains contributions from the Gulf International Conference in Applied Mathematics, held at the Gulf University for Science & Technology. The proceedings reflects the three major themes of the conference. The first of these was mathematical...
World Scientific Publishing Company, 2010. — 748 p. — ISBN: 981277582X, 9789812775825
This volume is a result of the author's four decades of research in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the ""Mathematics of Harmony,"" a new interdisciplinary direction of...
Springer. 2014. 256 pages. ISBN: 3319053108 This book offers a concise introduction to mathematical inequalities for graduate students and researchers in the fields of engineering and applied mathematics. It begins by reviewing essential facts from algebra and calculus and proceeds with a presentation of the central inequalities of applied analysis, illustrating a wide variety...
Springer, 2014. — 176 p. — (Undergraduate Texts in Mathematics). — ISBN: 3319056530, 9783319056531 Designed for an undergraduate course or for independent study, this text presents sophisticated mathematical ideas in an elementary and friendly fashion. The fundamental purpose of this book is to engage the reader and to teach a real understanding of mathematical thinking while...
Boca Raton: CRC Press, 2014. - 487p.
A Complete Treatment of Current Research Topics in Fourier Transforms and Sinusoids Sinusoids: Theory and Technological Applications explains how sinusoids and Fourier transforms are used in a variety of application areas, including signal processing, GPS, optics, x-ray crystallography, radioastronomy, poetry and music as sound waves, and...
Springer, 2006. — 144 p. It is now more than five years since the Belgian block cipher Rijndael was chosen as the Advanced Encryption Standard {AES). Joan Daemen and Vincent Rijmen used algebraic techniques to provide an unparalleled level of assurance against many standard statistical cryptanalytic techniques. The cipher is a fitting tribute to their distinctive approach to...
American Mathematical Society. 1999 502 pages. Includes bibliography and index. ISBN: 0821810596.
Mirror symmetry began when theoretical physicists made some astonishing predictions about rational curves on quintic hypersurfaces in four-dimensional projective space. Understanding the mathematics behind these predictions has been a substantial challenge. This book presents a...
Springer, 2014. — 239 pages. — ISBN: 978-3-319-04869-7; ISBN: 978-3-319-04870-3 Combinatorics and Algebraic Geometry have enjoyed a fruitful interplay since the nineteenth century. Classical interactions include invariant theory, theta functions and enumerative geometry. The aim of this volume is to introduce recent developments in combinatorial algebraic geometry and to...
2nd Edition. - Amsco School Publicationsn, 1991. - 786 p. - Integrated Mathematics: Course III, Second Edition, is a thorough revision of the textbook that has been a leader in presenting high school mathematics in a contemporary, integrated manner. Over the last decade, this integrated approach has undergone further changes and refinements. Amsco's Second Edition reflects these...
2nd Edition. - Amsco School Publicationsn, 1990. - 721 p. - Integrated Mathematics: Course II, Second Edition, is a thorough revision of the textbook that has been a leader in presenting high school mathematics in a contemporary, integrated manner. Over the last decade, this integrated approach has undergone further changes and refinements. Amsco's Second Edition reflects these...
2nd Edition. — Amsco School Publications, 1989. — 736 p. Integrated Mathematics: Course I, Second Edition, is a thorough revision of the textbook that has been a leader in presenting high school mathematics in a contemporary, integrated manner. Over the last decade, this integrated approach has undergone further changes and refinements. Amsco's Second Edition reflects these...
Springer Milan Dordrecht Heidelberg London New York. 2013. 262 pages. ISBN: 978-88-470-2888-3 ISBN: 978-88-470-2889-0 (eBook). Imagine mathematics, imagine with the help of mathematics, imagine new worlds, new geometries, new forms. The new volume in the series Imagine Math is intended to contribute to grasping how much that is interesting and new is happening in the...
Princeton University Press, 2012. — 320 p. — ISBN: 0691156557
This annual anthology brings together the year's finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2012 makes available to a wide audience many articles not easily found anywhere else - and you don't need...
Princeton University Press, 2012. — 416 pages. — ISBN: 978-0-691-15315-5. This anthology brings together the year's finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2011 makes available to a wide audience many articles not easily found anywhere else-and you don't...
Springer, 2014. — 629 p. This book consists of three main parts: ‘History’, ‘Theory’ and ‘Applications’. The fourth part, ‘Appendix’, contains computational formulas and statistical tables. Part I, ‘History’, contains five chapters that focus on important steps in the development of democracy and its philosophical comprehension by political thinkers. These chapters are devoted...
Plenum Press, 2013. — 225 p. — ISBN: 1468433148, 9781468433142
The primary objective of the course presented here is orientation for those interested in applying mathematics, but the course should also be of value to those interested in mathematical research and teaching or in using math ematics in some other professional context. The course should be suitable for college...
National Academies Press, 2013. -199 pages. Division on Engineering and Physical Sciences The vitality of the U.S. mathematical sciences enterprise is excellent. The discipline has consistently been making major advances in research, both in fundamental theory and in high-impact applications. The discipline is displaying great unity and coherence as bridges are increasingly...
World Scientific Publishing Company, 2007, 473 pages, ISBN: 9789812708090, 981270809X This textbook comprehensively introduces students and researchers to the application of continuous symmetries and their Lie algebras to ordinary and partial differential equations. Covering all the modern techniques in detail, it relates applications to cutting-edge research fields such as...
White Word Publications, 2012. — 105 p. — ISBN: 813234247X.
This book explains different Types of Functions in Mathematics.
Additive Function.
Algebraic Function.
Analytic Function.
Completely Multiplicative Function and Concave Function.
Convex Function.
Differentiable Function.
Elementary Function and Entire Function.
Even and Odd Functions.
Harmonic Function....
Springer, 2011. – 840 p. – ISBN: 3642114555, 9783642114564 Dynamics, Games and Science I and II are a selection of surveys and research articles written by leading researchers in mathematics. The majority of the contributions are on dynamical systems and game theory, focusing either on fundamental and theoretical developments or on applications to modeling in biology,...
Cambridge University Press, 2004. — 306 pages.
Michael Steele describes the fundamental topics in mathematical inequalities and their uses. Using the Cauchy-Schwarz inequality as a guide, Steele presents a fascinating collection of problems related to inequalities and coaches readers through solutions, in a style reminiscent of George Polya, by teaching basic concepts and...
Курс лекций. — Киев: Институт математики АН УССР, 1974. — 399 с. Сборник содержит два цикла лекций, прочитанных в X летней математической школе. Тематика первого цикла лекций (г. Нальчик, 2-16 июля 1972 г.) — некоторые вопросы функционального анализа и математической физики. Лекции посвящены кусочно-полиномиальной аппроксимации суммируемых функций; их применениям к функциям...
Vieweg+Teubner, 2008. - 401 c. ISBN: 3834804762, German Dieses Buch beschreibt die Wichtigkeit der Mathematik als Schlüsselqualifikation. Es zeigt, wie vielfältig die beruflichen Möglichkeiten für Mathematiker sind, und informiert über Wert, Attraktivität und Chancen des Mathematikstudiums. Ein Ziel des Buches ist es, junge Leute zu einem Mathematikstudium zu motivieren. Das...
Автор не указан. Addison Wesley – 2007, 860 pages, 3rd edition ISBN: 0321447808, 9780321447807 The third book of a three-part series, Algebraic, Graphics, and Trigonometric Problem Solving, Second Edition, illustrates how mathematics arises naturally from everyday situations through updated and revised real-life activities and the accompanying practice exercises. Along with the...
Imperial College Press, 2007. — 492 p. — ISBN: 1860948286. This book contains the first systematic exposition of the global and local theory of dynamics equivariant with respect to a (compact) Lie group. Aside from general genericity and normal form theorems on equivariant bifurcation, it describes many general families of examples of equivariant bifurcation and includes a...
Kluwer Academic Publishers, 1998. — 236 p. — ISBN: 0306459671. A gentle introduction to the highly sophisticated world of discrete mathematics, Mathematical Problems and Proofs presents topics ranging from elementary definitions and theorems to advanced topics - such as cardinal numbers, generating functions, properties of Fibonacci numbers, and Euclidean algorithm. This...
Kluwer Academic Publishers, 1993. — 209 р. — ISBN: 0-7923-2122-7. Introduction: Goals and problems of change-point detection Preliminary considerations State-of-the-art review Printed on acid-free paper Sequential change-point detection problems Disorder detection of random fields Applications of nonparamdric change-point detection methods Proofs, new results and technical details
Springer, 2009. — 473 p. — ISBN: 3540890866
Gegenstand des Lehrbuchs ist der Prozess des Anwendens von Mathematik. Im Mittelpunkt stehen der Funktionsbegriff sowie mathematische Methoden zur Modellierung funktionaler Abhängigkeiten zwischen zwei Größen. Das Buch zeichnet sich u. a. dadurch aus, dass reale Daten als Basis für viele Modellierungen dienen und dass verschiedene...
Springer-Verlag, 1988. — 140 p. — ISBN: 3540190910.
This research monograph studies the Cauchy transform on curves with the object of formulating a precise estimate of analytic capacity. The note is divided into three chapters. The first chapter is a review of the Calderón commutator. In the second chapter, a real variable method for the Cauchy transform is given using only the...
NAS Press, 2012. - 66 pages ISBN: 0309254736 9780309254731 Prepared as part of the study on the Mathematical Sciences in 2025, this issue presents mathematical sciences advances in an engaging way. The report describes the contributions that mathematical sciences research has made to advance our understanding of the universe and the human genome. It also explores how the...
American Mathematical Society, 2008. — 271 pages. There are many bits and pieces of folklore in mathematics that are passed down from advisor to student, or from collaborator to collaborator, but which are too fuzzy and non-rigorous to be discussed in the formal literature. Traditionally, it was a matter of luck and location as to who learned such folklore mathematics. But...
М.: Московский центр непрерывного математического образования (МЦНМО), 2004. — 264 с. Цель семинара «Глобус» — по возможности восстановить единство математики. Семинар рассчитан на математиков всех специальностей, аспирантов и студентов. У профессоров Независимого Московского университета возникло желание с этой тенденцией побороться. Мы создали общеуниверситетский семинар по...
Lambert Academic Publishing, 2005. — 468 p.
This book focuses on some important classical parts of Geometry, Analysis and Number theory. The material is divided into ten chapters, including new advances on triangle or tetrahedral inequalities; special sequences and series of real numbers; various algebraic or analytic inequalities with applications; special functions(as Euler...
3rd edition. — Springer, 2003. — 219 pages. This third edition offers two new chapters, on partition identities, and on card shuffling. Three proofs of Euler's most famous infinite series appear in a separate chapter. There is also a number of other improvements, such as an exciting new way to "enumerate the rationals".
М.: Московский центр непрерывного математического образования (МЦНМО), 2006. — 120 с. — ISBN 978-5-94057-282-4. Книга содержит записи лекций, прочитанных академиком В.И. Арнольдом в 2005 г. в рамках летней школы «Современная математика». В книге рассказывается о нескольких новых направлениях математических исследований, основанных на численных экспериментах. Статистика...
Birkhauser, 2011. — 525 pages.
Winner of the 1983 National Book Award, The Mathematical Experience presented a highly insightful overview of mathematics that effectively conveyed its power and beauty to a large audience of mathematicians and non-mathematicians alike. The study edition of the work followed about a decade later, supplementing the original material of the book...
White Word Publications, 2012. — 108 p. — ISBN: 8132342534, 9788132342533 This book explains about Unsolved Problems in Mathematics. Goldbach's Conjecture Collatz Conjecture Union-Closed Sets Conjecture and Barnette's Conjecture Erdos–Faber–Lovasz Conjecture and Inverse Galois Problem Problems in Loop Theory and Quasigroup Theory Hilbert's Problems Hadamard's Maximal...
World Scientific, 2011. — 556 pages.
This volume is based on selected talks — invited, thematic and contributory — delivered during the Satellite Conference of the International Congress of Mathematicians 2010 on Mathematics in Science and Technology, held in New Delhi, India, 14–17 August 2010, sponsored by ICM 2010; Department of Science and Technology (DST); National Board...
М.: Московский центр непрерывного математического образования (МЦНМО), 2005. — 56 с. — ISBN 5-94057-204-9. В книге собраны задачи по различным разделам математики, предлагавшиеся для обсуждения на семинарах (2003—2004 гг.) академика РАН В.И. Арнольда.
Издательство LAP Lambert Academic Publishing, 2009, -461 pp.
The aim of this book is to present short notes or articles, as well as studies on some topics of Geometry, Analysis, and Number Theory. The material is divided into ten chapters: Geometry and geometric inequalities; Sequences and series of real numbers; Special numbers and sequences of integers; Algebraic and analytic...
Society for Industrial and Applied Mathematics, 1999. — 247 p. The choice of an appropriate electoral system, capable of guaranteeing a representative, stable, and efficient government, has been a major concern of the political debate in many countries in the last few years. But how can different electoral systems be defined? What are the criteria used to determine the...
Glencoe/McGraw-Hill, 2004. — 698 p. IMPACT Mathematics: Algebra and More, Course 3 is part of an exciting 3-course program developed in cooperation with Education Development Center, Inc. It makes mathematics accessible to more of your students. They spend less time reviewing topics from previous grades and more time progressing carefully and successfully toward the completion...
Без выходных данных. Фрагменты Энциклопедического словаря расстояний. Понятие расстояния является одним из основных во всей человеческой деятельности. В повседневной жизни расстояние обычно означает некоторую степень близости двух физических объектов или идей (т. е. длина, временной интервал, промежуток, различие рангов, холодность или удаленность). Накопленная информация о...
Configurations, 2009, 17:1–18 2010 by The Johns Hopkins University Press and the Society for Literature and Science. Subject Headings: Mathematics - Philosophy. Imagination (Philosophy) In lieu of an abstract, here is a preview of the article. "[I]f mathematics is the study of purely imaginary states of things, poets must be great mathematicians." —Charles Sanders Peirce 1 I...
American Matematical Society, 2004. — 131 p. This book brings the beauty and fun of mathematics to the classroom. It offers serious mathematics in a lively, reader-friendly style. Included are exercises and many figures illustrating the main concepts. The first chapter talks about the theory of trigonometric and elliptic functions. It includes subjects such as power series...
American Mathematical Society, 2003. — 137 pages. This book will bring the beauty and fun of mathematics to the classroom. It offers serious mathematics in a lively, reader-friendly style. Included are exercises and many figures illustrating the main concepts. The first chapter presents the geometry and topology of surfaces. Among other topics, the authors discuss the...
American Mathematical Society, 2005. — 129 p. This book brings the beauty and fun of mathematics to the classroom. It offers serious mathematics in a lively, reader-friendly style. Included are exercises and many figures illustrating the main concepts. The first chapter talks about the theory of manifolds. It includes discussion of smoothness, differentiability, and...
Learning Express, LLC, 2008 - 368 p. – ISBN 9782008022581, 157685650X A word problem, like any problem, can’t be solved without a plan. After giving you a pretest, this book begins with the basics of word problems: keywords. These are the terms that will tell you what operations to use, on which numbers to perform them, what formulas to use, and the order in which each step...
World Scientific Publishing Company, 2011, 498 pages The present volume is the result of the international workshop on New Trends in Quantum Integrable Systems that was held in Kyoto, Japan, from 27 to 31 July 2009. As a continuation of the RIMS Research Project "Method of Algebraic Analysis in Integrable Systems" in 2004, the workshop's aim was to cover exciting new...
Springer, 2011. - 766 pages. Dynamics, Games and Science I and II are a selection of surveys and research articles written by leading researchers in mathematics. The majority of the contributions are on dynamical systems and game theory, focusing either on fundamental and theoretical developments or on applications to modeling in biology, ecomonics, engineering, finances and...
Gail, 2002. — 800 p. This quote helps demonstrate the content, scope, and nature of this encyclopedia. The rich content covers the gamut from Abacus to Zero. Coverage is given to figures in mathematical history and development such as Galileo, Grace Hopper, and Pythagoras. Careers that rely on mathematics, like air traffic controller, insurance agent, radio disc jockey, and...
Addison Wesley, 2011. - 792 pages. 4th Edition The third book of the Mathematics in Action series, Algebraic, Graphical, and Trigonometric Problem Solving, Fourth Edition, illustrates how mathematics arises naturally from everyday situations through updated and revised real-life activities and the accompanying practice exercises. Along with the activities and the exercises...
Classroom resource material. — Revised edition. — The Mathematical Association of America, 2009. — 216 p. — (Mathematical Association of America Textbooks). — ISBN 9780883857502, 0883857502. Mathematics is a creation of the mind. To begin with, there is a collection of things that exist only in the mind. Then there is a collection of statements about them, statements that we...
Springer, 2009. - 263 pages. The continuous development and growth of its many branches, both classical and modern, permeates and fertilizes all aspects of applied science and technology, and so has a vital impact on our modern society. The book will focus on these aspects and will benefit from the contribution of several world-famous scientists from mathematics and related...
Princeton University Press, 1992. — 247 p. — ISBN 0816058539; ISBN 9780816058532. Based on a well-received course designed for philosophy students, this book is an informal introduction to mathematical thinking. The work will be rewarding not only for philosophers concerned with mathematical questions but also for serious amateur mathematicians with an interest in the "frontiers"...
Springer, 2011. — 244 p. This Invitation to Mathematics consists of 14 contributions, many from the world's leading mathematicians, which introduce the readers to exciting aspects of current mathematical research. The contributions are as varied as the personalities of active mathematicians, but together they show mathematics as a rich and lively field of research. The...
New York: Dover Publications, 1979. - 429 pp.
566 problems and answers impossible to find in any other single source. Topics include steady-state harmonic oscillations, the Fourier method, and the eigenfunction method for solving inhomogeneous problems. More advanced problems deal with integral transforms, curvilinear coordinates, and integral equations. Detailed solutions.
Oxford University Press, 1997. - 304 pages. This book expounds a system of ideas about the nature of mathematics which Michael Resnik has been elaborating for a number of years. In calling mathematics a science he implies that it has a factual subject-matter and that mathematical knowledge is on a par with other scientific knowledge; in calling it a science of patterns he...
American Mathematical Society, 2000. — 459 p. This remarkable book is a celebration of the state of mathematics at the end of the millennium. Produced under the auspices of the International Mathematical Union (IMU), the volume was born as part of the activities observing the World Mathematical Year 2000. P The volume consists of 30 articles written by some of the most influential...
Springer, 2005. - 203 Pages. In addition to mathematicians, this book is intended for a more general audience, for teachers and for researchers, for students in almost all topics, in particular in art, humanities, psychology, design and literature. It is a truly interdisciplinary volume, and serves as a source for ideas and suggestions in several fields
Abstract. questions of MAXIMA and minima have great practical significance, with applications to physics, engineering, and economics; they have also given rise to theoretical advances, notably in calculus and optimization. Indeed, while most texts view the study of extrema within the context of calculus, this carefully constructed problem book takes a uniquely intuitive...
Birkhauser Boston, 2002. - 368 Pages. The subject of dynamic equations on time scales continues to be a rapidly growing area of research. Behind the main motivation for the subject lies the key concept that dynamic equations on time scales is a way of unifying and extending continuous and discrete analysis. This work goes beyond an earlier introductory text "Dynamic Equations...
Educational Solutions, 1963. — 53 p. We publish as the first text in this series a short but illuminating study by one of the most versatile mathematicians of our time of what can be understood by modern mathematics. The author is an outstanding example of a thinker who has made a distinguished contribution to mathematics and who does not consider the problems of teaching...
KLUWER ACADEMIC PUBLISHERS, 2004. - 332 Pages.
A title that sounds like poetry, and a subtitle that seems to contradict the title! But the subtitle is right, and originally it was just the title. A strange subtitle, isn’t it? Preface to a Science of Mathematical Education. All sciences – in their prenatal stage – have known this kind of literature: only the term used was not...
Ижевск: Регулярная и хаотическая динамика, 2001. — 96 с. Описание: Издание второе, исправленное. Книга объясняет роль аксиоматического подхода в построении математической теории. Подробно рассмотрен современный подход к аксиоматике геометрии, а также к аксиоматике действительных чисел. Изложены аксиомы метрики и аксиомы меры. В книге содержится значительное количество примеров,...
Collins Educational, 2006. - 640 Pages.
This high quality material is endorsed by Edexcel and has been through a rigorous quality assurance
programme to ensure it is a suitable companion to the specification for both learners and teachers.
This does not mean that the contents will be used verbatim when setting examinations nor is it to be read as being the official...
М.: Фазис, 2000. — 465 с. — ISBN 5-7036-0060-X. В книге собраны задачи выдающегося советского и российского математика, академика В. И. Арнольда, которые он ставил своим ученикам более 40 лет. Ко многим задачам приведены комментарии, содержащие обзор результатов по данному направлению исследований. Широта охвата самых различных разделов математики делает издание уникальным и...
Springer, 2008. - 575 pages. This book introduces the student to numerous modern applications of mathematics in technology. The authors write with clarity and present the mathematics in a clear and straightforward way making it an interesting and easy book to read. Numerous exercises at the end of every section provide practice and reinforce the material in the chapter. An...
Springer, 2004. — 227 p. — ISBN 0-387-21978-1. This book aims to promote constructive mathematics not by defining it or formalizing it but by practicing it. This means that its definitions and proofs use finite algorithms, not `algorithms' that require surveying an infinite number of possibilities to determine whether a given condition is met.
Ижевск: НИЦ "Регулярная и хаотическая динамика", 2000. -160 с. Книга крупнейшего алгебраиста современности С. Ленга написана неформальным языком и носит характер бесед со студентами, записанных во время многочисленных посещений Ленга университетов Европы и Америки по их приглашениям. В ней в увлекательной форме рассказывается о классических и современных (в том числе...
Springer, 2009. — 106 p. Retelling the best solutions and sharing the secrets of discovery are part of the process of teaching problem solving. Ideally, this process is characterized by mathematical skill, good taste, and wit. It is a characteristically personal process and the best such teachers have surely left their personal marks on students and readers. Alexander Soifer is a...
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