Boundary Value Problems

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A01=Chi Y Lo
Author_Chi Y Lo
Bessel Functions
Boundary Value Problems
Category=PBKJ
Category=PDE
Category=PH
Eigenvalues and Eigenfunctions
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eq_isMigrated=1
eq_nobargain
eq_non-fiction
eq_science
Fourier Series and Fourier Transforms
Green's Function
Heat Equation
Laplace's Equation
Legendre Polynomials
Sturm-Liouville Problems
Symmetric Integral Operator
Wave Equation

Product details

  • ISBN 9789810243005
  • Publication Date: 15 May 2000
  • Publisher: World Scientific Publishing Co Pte Ltd
  • Publication City/Country: SG
  • Product Form: Hardback
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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 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.

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