Mathematical and Physical Methods and Computer Simulation

Author: Yang Huajun
Publisher:
Publish Date: 2005-05-01
Features: This book systematically elaborates on complex function theory, Fourier transform, Laplace transform, various solution methods of mathematical physics equations, special functions, and computer simulation programming practices. It provides guidance for cultivating thinking and practical programming abilities. The book fully considers the depth and breadth of knowledge in modern high-tech frontiers when selecting its content, forming a systematic theoretical framework that combines mathematical physics methods with computer simulation, featuring characteristics of cutting-edge disciplines. The book has a clear hierarchical structure, systematic and comprehensive theory, with a focus on cultivating thinking abilities. It strengthens computer simulation training and introduces computer simulation solutions and their graphical display for complex functions, mathematical physics equations, and special functions. Solutions to exercises and simulation programs can be downloaded from the internet. This book can serve as a textbook for undergraduate students in science and engineering disciplines in fields such as physics, geophysics, electronic information science, optical communication technology, space science, astronomy, geology, ocean science, and materials science. It can also be used as a reference for graduate students and scientific workers in related fields for computer simulation training. The book is supported by rich online resources, including: ① A foundation of mathematical physics (including vector basics and vector field theory); ② Solutions to all exercises in the book, detailed answers to difficult problems, and computer simulation programs; ③ Several types of special functions (e.g., Hermite polynomials, Laguerre polynomials); ④ Discussions and computer simulations of typical mathematical, physical, and mathematical-physical problems, as well as the simulation verification of mathematical theorems, to enhance innovative thinking and computer simulation training; ⑤ Electronic lecture slides. Readers can download these resources from the Huaxin Education Resources website of the China Machine Press at http://www.hxedu.com.cn or from the Network Classroom under the School of Physics and Electronics at UESTC at http://www.teacher.uestc.edu.cn, specifically in the "Excellent Course: Mathematical Physics Methods."