Mathematical methods for physicists

A complete guide to the mathematical tools and techniques used to solve problems in physics, with a new art program, and references for using Numerical Recipes and Mathematica. Mathematical Methods for Physicists, Third Edition provides an advanced undergraduate and beginning graduate study in physical science, focusing on the mathematics of theoretical physics. This edition includes sections on the non-Cartesian tensors, dispersion theory, first-order differential equations, numerical application of Chebyshev polynomials, the fast Fourier transform, and transfer functions. Many of the physical examples provided in this book, which are used to illustrate the applications of mathematics, are taken from the fields of electromagnetic theory and quantum mechanics. The Hermitian operators, Hilbert space, and concept of completeness are also deliberated. This book is beneficial to students studying graduate level physics, particularly theoretical physics. This work is intended to provide the student with the mathematics needed for advanced and beginning study in physical science. It features class-tested exercises and has sections on non-Cartesian tensors, dispersion theory and first-order differential equations. George Arfken. Includes Bibliographies And Index.