Physical Mathematics

by Kevin Cahill

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.

Genres: Physics, Mathematics

681 pages, Hardcover

First published February 28, 2013

About the author

Kevin Cahill (1941-) was born in New York, New York. He attended public and Catholic elementary schools, Regis High School, the University of Notre Dame, and Harvard University, receiving his PhD in physics in 1967 under the supervision of Roy Glauber (prix Nobel 2005). Cahill has done research at NBS, LBL, Ecole Polytechnique, Saclay, Orsay, and Harvard and has taught at Nice, Wesleyan, LSU, Indiana, Harvard, Fudan, and the University of New Mexico where he is a professor of physics and astronomy.

Reviews

[Mohamed · Rating 5 out of 5]

one of the most useful textbook I have used in my life