Bourles H. Fundamentals of advanced mathematics. 3, Differential calculus, tensor calculus, differential geometry, global analysis

ISTE Press - Elsevier, 2017. — 262 p. — (New Mathematical Methods, Systems and Applications Set). — ISBN: 978-1-78548-173-4. This precis, comprised of three volumes, of which this book is the first, exposes the mathematical elements which make up the foundations of a number of contemporary scientific methods: modern theory on systems, physics and engineering. This first volume...

ISTE Press - Elsevier, 2018. — 349 p. — (New Mathematical Methods, Systems and Applications Set). — ISBN: 978-1-78548-249-6. The three volumes of this series of books, of which this is the second, put forward the mathematical elements that make up the foundations of a number of contemporary scientific methods: modern theory on systems, physics and engineering. Whereas the first...

Springer, 2018. — 470 p. — ISBN: 978-3-319-96991-6. This book explains and helps readers to develop geometric intuition as it relates to differential forms. It includes over 250 figures to aid understanding and enable readers to visualize the concepts being discussed. The author gradually builds up to the basic ideas and concepts so that definitions, when made, do not appear...

Cambridge: Cambridge University Press, 2016. — 547 p. Ideal for undergraduate and graduate students of science and engineering, this book covers fundamental concepts of vectors and their applications in a single volume. The first unit deals with basic formulation, both conceptual and theoretical. It discusses applications of algebraic operations, Levi-Civita notation, and...

Cambridge University Press, 2019. — 717 p. — ISBN: 978-1-108-49220-1. Algebraic structures play an important role in understanding crucial concepts of modern physics. Starting with mathematical logic, sets and functions, this text presents short descriptions of different algebraic structures such as metric spaces, rings, fields, Boolean algebra, groups, vector spaces and...

2nd. Edition. — Springer International Publishing AG, 2018. — 294 p. — (Undergraduate Lecture Notes in Physics) — ISBN: 978-3-319-66630-3. This is a textbook that derives the fundamental theories of physics from symmetry. It starts by introducing, in a completely self-contained way, all mathematical tools needed to use symmetry ideas in physics. Thereafter, these tools are put...