Physical Mathematics

Description

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. Review: NEEDS A BRIDGE - Compared to the old books of this kind, it is definitely NEW AGE. If someone from SUSSKIND's theoretical- minimum audience would want to read Cahill's book, there should be a mathematical bridge for them though--maybe constructed from Max Planck's introductory theoretical physics books. Review: Excellent For Both Students and Researchers. Tensors Done Right! - Physical Mathematics is arguably the best “math-for-physics” textbook available covering twice as many topics for half the Price. It is filled with an astronomical amount of insightful and useful examples of physically -motivated applications of advanced mathematics both pure and applied as well as a myriad of thoughtful exercises making it a useful book for an advanced course in mathematical physics. Make no mistake though, while this book is largely self-contained and easy to follow, it is definitely written for an audience with at least the skill level of an advanced undergraduate And beginning graduate physics student.