John Wiley & Sons Inc., 2011, 301 p. This book aims to disseminate geometric algebra as a straightforward mathematical tool set for working with and understanding classical electromagnetic theory. It's target readership is anyone who has some knowledge of electromagnetic theory, predominantly ordinary scientists and engineers who use it in the course of their work, or postgraduate students and senior undergraduates who are seeking to broaden their knowledge and increase their understanding of the subject. It is assumed that the reader is not a mathematical specialist and is neither familiar with geometric algebra or its application to electromagnetic theory. The modern approach, geometric algebra, is the mathematical tool set we should all have started out with and once the reader has a grasp of the subject, he or she cannot fail to realize that traditional vector analysis is really awkward and even misleading by comparison
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Springer, 2014. — 410 p. Geometric Trilogy 1. An Axiomatic Approach to Geometry Geometric Trilogy 2. An Algebraic Approach to Geometry Geometric Trilogy 3. An Axiomatic Approach to Geometry The reader is invited to immerse himself in a love story which has been unfolding for 35 centuries: the love story between mathematicians and geometry. In addition to accompanying the reader up...
Taylor & Francis, 2006. — 186 p. —ISBN: 1584887729
Bringing geometric algebra to the mainstream of physics pedagogy, Geometric Algebra and Applications to Physics not only presents geometric algebra as a discipline within mathematical physics, but the book also shows how geometric algebra can be applied to numerous fundamental problems in physics, especially in experimental...
Cambridge University Press, 2003. - 592 pages.
As leading experts in geometric algebra, Chris Doran and Anthony Lasenby have led many new developments in the field over the last ten years. This book provides an introduction to the subject, covering applications such as black hole physics and quantum computing. Suitable as a textbook for graduate courses on the physical...
2nd edition. — Wiley-VCH, 2009. — 538 p.
All there is to know about functional analysis, integral equations and calculus of variations in one handy volume, written for the specific needs of physicists and applied mathematicians.
The new edition of this handbook starts with a short introduction to functional analysis, including a review of complex analysis, before continuing...
2nd ed. — Taylor & Francis, 2003. — 573 p. Differential geometry and topology have become essential tools for many theoretical physicists. In particular, they are indispensable in theoretical studies of condensed matter physics, gravity, and particle physics. Geometry, Topology and Physics, Second Edition introduces the ideas and techniques of differential geometry and topology...
Cambridge University Press, 2010, 728 p. Covering all aspects of gravitation in a contemporary style, this advanced textbook is ideal for graduate students and researchers in all areas of theoretical physics. The 'Foundation' section develops the formalism in six chapters, and uses it in the next four chapters to discuss four key applications - spherical spacetimes, black holes,...
