Partial Differential Equations Basic Theory
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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 advanced topics in linear PDE, and AMS volume 117, treating problems in nonlinear PDE. This book is addressed to graduate students in mathematics and to professional mathematicians, with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis.
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All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.
List price: $99.00
Copyright year: 1996
Publication date: 8/5/1999
Size: 6.50" wide x 9.25" long x 1.25" tall
|Basic Theory of ODE and Vector Fields|
|The Laplace Equation and Wave Equation|
|Fourier Analysis, Distributions, and Constant-Coefficient Linear PDE|
|Linear Elliptic Equations|
|Linear Evolution Equations|
|App. A Outline of Functional Analysis|
|App. B Manifolds, Vector Bundles, and Lie Groups|