Mathematical Methods - (2nd Edition)

Author: Guo Yu cui
Publisher:
Publish Date: 2006-12-01
Features: This book is a revised version of "Mathematical Methods for Graduate Students" published by Beijing University of Posts and Telecommunications. The revision includes adjustments to some chapters to better suit mathematicians, as well as the addition of the application of the computer software Maple in solving boundary value problems and the use of Maple to visualize certain results. The book is divided into 10 chapters, covering the basics of vector analysis and field theory, the derivation of mathematical physics boundary value problems, the separation of variables method for solving mathematical physics problems, traveling wave methods and integral transform methods, Green's function methods, variational methods, series solutions of second-order linear ordinary differential equations and Sturm-Liouville eigenvalue problems, special functions (I) – Legendre polynomials, special functions (II) – Bessel functions, and the basics of integral equations. The book considers the characteristics of electronic and communication-related disciplines in both theory and examples, balancing the rigor of mathematical theory with the distinctness of physical backgrounds, demonstrating the role of mathematical physics methods as a bridge between mathematics and its applications in physics and other sciences. This book can serve as a textbook for master's degree students in engineering disciplines at universities, or be used by undergraduate students in disciplines with higher requirements for this course, or as a teaching reference.