Classical and modern mathematical physics methods

Author: Lu Zhenqiu (Editor)
Publisher:
Publish Date: 2004-12-01
Features: This book is divided into three parts: Single and Multiple Variable Function Theory, Mathematical Physics Equations, and Wavelet Analysis and Its Applications. The first part covers the expansion from real analysis to complex analysis and its application in the calculation of definite integrals and series sums. The second part includes mathematical models of physical problems, fundamental solutions of linear partial differential equations using the decomposition synthesis method (including spectral decomposition and impulse decomposition), traveling wave methods, generalized functions, special functions (including hypergeometric theory and asymptotic theory) and their applications, inverse scattering problems, and nonlinear problems. The third part covers continuous and discrete wavelet transforms, frame theory, multi-resolution analysis, Daubiches wavelets, and the application of wavelets in solving mathematical physics equations. Wavelets are a very important representation and have a wide range of applications, penetrating all fields of natural sciences. While pointing out three reasons that lead to the "mystification" of wavelets, the author strives to explain these issues in an accessible manner. Compared to current domestic and international textbooks on similar topics, this book has made several significant changes in content, perspective, and order. This book can serve as a textbook for undergraduate students in physics departments of comprehensive universities and normal universities, as well as a reference book for graduate students in chemistry and physics engineering departments of comprehensive universities and engineering universities. It is also available for reference by relevant scientific and technical personnel.