Mathematical Methods in Physics (Second Edition)

Author: Wang Dexin
Publisher:
Publish Date: 2001-08-02
Features: This book is divided into two parts: Complex Function Theory and Mathematical Physics Equations. The former introduces the basic principles of complex functions (derivatives, integrals, series, and analytic continuation, etc.), the residue theorem and its applications, series solutions of linear ordinary differential equations, spherical and cylindrical functions. The latter covers the boundary value problems and solution methods of mathematical physics equations, including the traveling wave method, the method of averages, the method of separation of variables, the method of integral transforms, the method of conformal mapping, the method of Green's functions, and the variational method. This book is committed to introducing fundamental concepts vividly through examples, emphasizing the core of theorem proofs, and extensively selecting practical examples in physics. It pays attention to summarizing the basic steps for solving various typical problems, highlights the flexible application of various computational techniques, and includes hints and answers to exercises at the end of the book. This book can serve as a textbook or reference for physics majors in higher normal universities and science and engineering universities, and can also be used as a reference for graduate students, researchers, and engineering technicians in related fields.