Mathematical and Physical Methods

Author: Yan Zhenjun
Publisher:
Publish Date: 1999-01-01
Features: This book is compiled by the author based on nearly four decades of teaching practice at the University of Science and Technology of China. It is divided into two parts: Complex Analysis and Mathematical Physics Equations. The Complex Analysis part includes 7 chapters: Complex Numbers and Plane Point Sets, Complex Variable Functions, Integral Representations of Analytic Functions, Series Representations of Analytic Functions, Residues and Their Applications, Conformal Mapping, and Laplace Transform. The Mathematical Physics Equations part includes 5 chapters: Partial Differential Equations in Mathematical Physics, Separation of Variables, Special Functions, Integral Transform Methods, and Fundamental Solutions and Integral Representations of Solutions. Each chapter is equipped with a substantial number of exercises, and the answers to all exercises are provided at the end of the book. While emphasizing scientific rigor and precision, the book also focuses on its practicality, featuring a gradual progression and being easy for students to self-study. It is suitable as a textbook or teaching reference for departments and majors in higher education institutions specializing in "applied mathematics" for the Mathematical Physics Methods course.