Mathematical and Physical Equations

Author: Chen Caisheng
Publisher:
Publish Date: 2005-02-01
Features: This book is based on the lecture notes of the author when teaching "Mathematical Physics Equations" to engineering graduate students at Hohai University, Jiangsu University, and the Department of Mathematics at Nanjing Institute of Meteorology, which have undergone multiple rounds of careful discussion and revision. The main content of the book includes the basic concepts of partial differential equations, the derivation and boundary value problems of three typical equations, the method of characteristics, Fourier series theory, the method of separation of variables, Green's function method, integral transform methods, extremum principles and applications, energy integral methods and applications, Bessel functions and Legendre functions and their applications, etc. The book is appropriately selected, thoroughly explained, and focuses on introducing various fundamental solution methods for boundary value problems, highlighting its practicality. Each chapter is equipped with a variety of examples and exercises for readers to study and practice, and the answers and hints to most of the exercises are provided at the end of the book. This book can be used as a teaching text for undergraduate students in applied mathematics, information and computer science, and graduate students in relevant engineering fields, as well as a reference for teachers who teach this course and related engineering and technological professionals.