Introduction to Mathematical Physics

Prentice-Hall of India, Six Printing, 1995, 301 pages, ISBN: 8120302621.
The chief aim of this book is to provide undergraduate students, who have a working knowledge of differential and integral calculus, with most of the mathematical prerequisites required for the study of (1) classicaLand quantum mechanics, (2) electromagnetism, (3) statistical thermodynamics, and (4) special and general relativity as well as other areas of physics, chemistry, applied mathematics, and engineering. The selected topics are based on my estimation of what is essential for undergraduate students in these areas and on the frequency with which these topics occur in physical applications.
While every effort has been made to present the material correctly, no attempt has been made to be absolutely rigorous. The included proofs are mainly (from a mathematician's point of view) plausibility arguments. It is assumed that students who plan to pursue advanced work in the natural sciences or applied mathematics will study mathematics and mathematical physics at a more advanced level.
The included illustrative examples are selected from general physics or developed from first principles. The problems at the end of each chapter are considered to be an integral part of the chapters and are occasionally used to convey new information in a self-contained manner.
Vector Analysis.
Operator and Matrix Analysis.
Functions of a Complex Variable.
Calculus of Residues.
Differential Equations.
Special Functions of Mathematical Physics.
Fourier Series.
Fourier Transforms.
Tensor Analysis.