Mathematical and Physical Methods

Author: Wu Chongshi
Publisher:
Publish Date: 2001-08-01
Features: This book includes two parts: Complex Analysis and Mathematical Physics Equations. It balances the completeness of the theoretical system with practical problem-solving techniques. Compared to traditional content, it adds Euler's summation formula, divergent series and asymptotic series, M?bius transformations, general solutions of linear partial differential equations, qualitative properties of solutions for the three basic types of mathematical physics equations, and the invariance of the Laplace operator. It also provides an introduction to exterior differential operations, wavelet transforms, and nonlinear partial differential equations. Some content (such as the Gamma function and Legendre polynomials) is presented using new methods and includes a "summary of the separation of variables method." It corrects several special function formulas in current reference books.