Mathematical and Physical Equations

Author: Zhuang Wan et al.
Publisher:
Publish Date: 2003-08-01
Features: This book provides traditional content for learning classical partial differential equations. It is divided into five chapters. Chapter introduces basic concepts, the derivation of typical equations, and the classification of second-order equations; Chapters 2, 3, and 4 respectively present methods for solving boundary value problems and properties of solutions for wave equations, heat conduction equations, and Laplace equations; Chapter 5 discusses the well-posedness of boundary value problems, the concept of characteristics, and comparisons among the three types of equations. Additionally, each section is accompanied by a certain number of exercises, and answers to the exercises are provided at the end of the book. Considering the varying situations in which the course of partial differential equations is offered in teacher training mathematics departments, with significant differences in class hours, this book marks some content with for optional selection. The entire content is estimated to be completed within 72 class hours, and if the -marked content is omitted, it can be taught in approximately 50 class hours.