Partial Differential Equations Basic Theory

Name: Partial Differential Equations Basic Theory
Price: 25.3 USD
Availability: InStock
ISBN: 9780387946542

ISBN-10: 0387946543

ISBN-13: 9780387946542

Edition: 1996

Authors: Michael E. Taylor

List price: $54.99

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Description:

This text provides an introduction to the theory of partial differential equations. It introduces basic examples of partial differential equations, arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, including particularly Fourier analysis, distribution theory, and Sobolev spaces. These tools are applied to the treatment of basic problems in linear PDE, including the Laplace equation, heat equation, and wave equation, as well as more general elliptic, parabolic, and hyperbolic equations. Companion texts, which take the theory of partial differential equations further, are AMS volume 116, treating more…

Book details

List price: $54.99
Copyright year: 1996
Publisher: Springer New York
Publication date: 6/25/1996
Binding: Paperback
Pages: 588
Size: 6.10" wide x 9.25" long x 0.46" tall
Weight: 1.848
Language: English



Series Preface


Introduction



Basic Theory of ODE and Vector Fields



The Laplace Equation and Wave Equation



Fourier Analysis, Distributions, and Constant-Coefficient Linear PDE



Sobolev Spaces



Linear Elliptic Equations



Linear Evolution Equations


App. A Outline of Functional Analysis


App. B Manifolds, Vector Bundles, and Lie Groups


Index