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OverviewThis 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 this approach, 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 equations.Contents: Linear Partial Differential EquationsThe Wave EquationGreen's Function and Sturm Liouville ProblemsFourier Series and Fourier TransformsThe Heat EquationLaplace's Equation and Poisson's EquationProblems in Higher DimensionsReadership: Graduate students in applied mathematics, engineering and the physical sciences. Full Product DetailsAuthor: Chi Y LoPublisher: World Scientific Publishing Company Imprint: World Scientific Publishing Company ISBN: 9781299615434ISBN 10: 1299615430 Pages: 272 Publication Date: 01 January 2000 Audience: General/trade , General Format: Electronic book text Publisher's Status: Active Availability: In stock We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately. Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |