Boundary Value Problems; Author: Lo, Chi Y.; Hardback; Book

Author: Lo, Chi Y.
Hardback; Book
272 pages
Published: May 2000
World Scientific Publishing Co Pte Ltd
ISBN: 9810243006

This book has been designed for a one-year graduate course on boundary value problems for students of mathematics, engineering, and the physical sciences. It deals mainly with the three fundamental equations of mathematical physics, namely the heat equation, the wave equation, and Laplace's equation.The goal of the book is to obtain a formal solution to a given problem either by the method of separation of variables or by the method of general solutions and to verify that the formal solution possesses all the required properties. To provide the mathematical justification for thisapproach, the theory of Sturm-Liouville problems, the Fourier series, and the Fourier transform are fully developed. The book assumes a knowledge of advanced calculus and elementary differential equatThis text has been designed for use on a one-year graduate course on boundary value problems. It deals mainly with the three fundamental equations of mathematical physics, namely the heat equation, the wave equation, and Laplace's equation.