Fourier series and boundary value problems

by Brown, James Ward

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Title Statements

Full title :Fourier series and boundary value problems.

Edition Statements

Publication Date:2012.
Edition:8th ed

Publication Statements

Publisher(s):McGraw-Hill
Place of Publication:New York
Language:eng
Publication Date:2012.

The Physical Object

Description:400 blz. ; : .. cm.

Edition Identifiers

ISBN:9780078035975, 007803597X
oclc:ocn840461674

Machine generated contents note: 1.Fourier Series -- Piecewise Continuous Functions -- Fourier Cosine Series -- Examples -- Fourier Sine Series -- Examples -- Fourier Series -- Examples -- Adaptations to Other Intervals -- 2.Convergence of Fourier Series -- One-Sided Derivatives -- A Property of Fourier Coefficients -- Two Lemmas -- A Fourier Theorem -- A Related Fourier Theorem -- Examples -- Convergence on Other Intervals -- A Lemma -- Absolute and Uniform Convergence of Fourier Series -- The Gibbs Phenomenon -- Differentiation of Fourier Series -- Integration of Fourier Series -- 3.Partial Differential Equations of Physics -- Linear Boundary Value Problems -- One-Dimensional Heat Equation -- Related Equations -- Laplacian in Cylindrical and Spherical Coordinates -- Derivations -- Boundary Conditions -- Duhamel's Principle -- A Vibrating String -- Vibrations of Bars and Membranes -- General Solution of a Wave Equation -- Types of Equations and Boundary Conditions -- 4.The Fourier Method -- Linear Operators -- Principle of Superposition -- Examples -- Eigenvalues and Eigenfunctions -- A Temperature Problem -- A Vibrating String Problem -- Historical Development -- 5.Boundary Valu…