Physical Mathematics
2nd Edition
£71.99
- Author: Kevin Cahill, University of New Mexico
- Date Published: August 2019
- availability: Available
- format: Hardback
- isbn: 9781108470032
£
71.99
Hardback
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Unique in its clarity, examples, and range, Physical Mathematics explains simply and succinctly the mathematics that graduate students and professional physicists need to succeed in their courses and research. The book illustrates the mathematics with numerous physical examples drawn from contemporary research. This second edition has new chapters on vector calculus, special relativity and artificial intelligence and many new sections and examples. In addition to basic subjects such as linear algebra, Fourier analysis, complex variables, differential equations, Bessel functions, and spherical harmonics, the book explains topics such as the singular value decomposition, Lie algebras and group theory, tensors and general relativity, the central limit theorem and Kolmogorov's theorems, Monte Carlo methods of experimental and theoretical physics, Feynman's path integrals, and the standard model of cosmology.
Read more- Describes the fundamental mathematics that students and researchers need in their physics courses and research
- Explains the mathematics simply, making it easy for all students of physics and other physical sciences to learn from this book
- Includes topics important in physics but not covered in most math books; uses numerous examples, many drawn from current research
Reviews & endorsements
'Cahill has given us a concise and mathematically clear text, one that adds many contemporary topics to a classic selection.' Roy J. Glauber, Harvard University, Massachusetts
See more reviews'Kevin Cahill's book collects and presents the mathematical methods of physics succinctly, and will be much welcomed by students and researchers alike.' A. Zee, University of California, Santa Barbara
'This book provides a comprehensive coverage of the mathematics necessary for advanced study in physics. The key notions are presented concisely and accurately with a wealth of beautiful examples borrowed from physics, biophysics, and probability theory. The inclusion of advanced topics such as differential forms and group theory makes this book a most useful resource for graduate students and researchers in theoretical physics.' Alain Comtet, Université Pierre et Marie Curie
'I am impressed by the extremely clear and direct style with which this book has been written … The author has distilled his experience and obvious enjoyment of the subject, and presented mathematics in a remarkably human and accessible form.' David Waxman, Fudan University, Shanghai
'The book places itself as a reference for the undergraduate students, the graduate students and the researchers who need to refresh some topics. As the author indicates, the book covers all the mathematics needed for a physicist. Also, the instructor who gives a course on mathematical physics can find useful material in the book. The topics are explained with little stress on the physical meaning which is meant to come spontaneously progressing in the book. The completeness of topics is preferred to proofs and deep explanations … this book is indicated for the student who wants a solid and complete reference for mathematical tool in physics. The instructor can use the book as a reference for basic or advanced courses of mathematical physics, as well as for more theoretically based courses.' Stefano Scali, Contemporary Physics
Customer reviews
Review was not posted due to profanity
×Product details
- Edition: 2nd Edition
- Date Published: August 2019
- format: Hardback
- isbn: 9781108470032
- length: 778 pages
- dimensions: 252 x 178 x 39 mm
- weight: 1.68kg
- contains: 71 b/w illus. 465 exercises
- availability: Available
Table of Contents
Preface
1. Linear algebra
2. Vector calculus
3. Fourier series
4. Fourier and Laplace transforms
5. Infinite series
6. Complex-variable theory
7. Differential equations
8. Integral equations
9. Legendre polynomials and spherical harmonics
10. Bessel functions
11. Group theory
12. Special relativity
13. Tensors and general relativity
14. Forms
15. Probability and statistics
16. Monte Carlo methods
17. Artificial intelligence
18. Order, chaos, and fractals
19. Functional derivatives
20. Path integrals
21. Renormalization group
22. Strings
References
Index.
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