Mathematical Methods-(Second Edition)

Author: Wu Chongshi
Publisher:
Publish Date: 2003-12-01
Features: Includes two parts - Complex Analysis and Mathematical Physics Equations, balancing the completeness of theoretical systems with practical problem-solving techniques. Beyond the traditional content of mathematical physics methods textbooks for physics majors, it adds topics such as Fourier series and asymptotic series, M?bius transformations, general solutions of linear partial differential equations, qualitative properties of solutions for three basic types of mathematical physics equations, and the invariance of the Laplace operator. It also supplements brief introductions to exterior differential operations, wavelet transforms, and nonlinear partial differential equations. Some content is presented using new approaches, and a comprehensive summary of the "method of separation of variables" is provided, correcting several special function formulas in current reference books. It introduces the application of computer software Mathematica in complex analysis calculations. Includes exercises and solutions.