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Unique in its clarity, examples and range, Physical Mathematics explains as simply as possible the mathematics that graduate students and professional physicists need in their courses and research. The author illustrates the mathematics with numerous physical examples drawn from contemporary research. In addition to basic subjects such as linear algebra, Fourier analysis, complex variables, differential equations and Bessel functions, this textbook covers topics such as the singular-value decomposition, Lie algebras, the tensors and forms of general relativity, the central limit theorem and Kolmogorov test of statistics, the Monte Carlo methods of experimental and theoretical physics, the renormalization group of condensed-matter physics and the functional derivatives and Feynman path integrals of quantum field theory.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 the 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."
R. Glauber, Harvard UniversitySee more reviews
"I am impressed by the extremely clear and direct style with which this book has been written. I am sure that today's PhD students, advanced undergraduates and researchers in physics will derive great benefit from using this book. 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
"Professor 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 at 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
"The book should be very useful as an up-to-date text for either a one-semester or one-year course in mathematical physics at the graduate level. The instructor can choose the chapters to be covered in a one-semester course, and the entire book is suitable to be treated in a course of an entire year … researchers in physics will find the book useful as a reference tool."
Don Lichtenberg, American Journal of Physics
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- Date Published: March 2013
- format: Adobe eBook Reader
- isbn: 9781107302303
- contains: 56 b/w illus. 395 exercises
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
1. Linear algebra
2. Fourier series
3. Fourier and Laplace transforms
4. Infinite series
5. Complex-variable theory
6. Differential equations
7. Integral equations
8. Legendre functions
9. Bessel functions
10. Group theory
11. Tensors and local symmetries
13. Probability and statistics
14. Monte Carlo methods
15. Functional derivatives
16. Path integrals
17. The renormalization group
18. Chaos and fractals
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