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Texts in Applied Mathematics #23: Partial Differential Equations: Basic Theory

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Texts in Applied Mathematics #23: Partial Differential Equations: Basic Theory Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

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.

Product Details

ISBN:
9780387946542
Author:
Taylor, Michael
Author:
Taylor, M. E.
Author:
Taylor, Michael E.
Publisher:
Springer
Location:
New York, NY
Subject:
General
Subject:
Mathematics
Subject:
Mathematical Analysis
Subject:
Differential Equations - Partial Differential Equations
Subject:
Differential equations, partial
Subject:
Analysis
Subject:
Theoretical, Mathematical and Computational Physics
Subject:
Manifolds and Cell Complexes (incl. Diff.Topology)
Subject:
General-General
Subject:
The Arts
Subject:
mathematics and statistics
Subject:
Global analysis (Mathematics)
Subject:
Cell aggregation_xMathematics
Copyright:
Edition Number:
1
Edition Description:
1996. Corr. 2nd
Series:
Texts in Applied Mathematics
Series Volume:
1523
Publication Date:
19960625
Binding:
TRADE PAPER
Language:
English
Illustrations:
Y
Pages:
604
Dimensions:
235 x 155 mm 1800 gr

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Related Subjects

Science and Mathematics » Mathematics » Applied
Science and Mathematics » Mathematics » Differential Equations
Science and Mathematics » Mathematics » General

Texts in Applied Mathematics #23: Partial Differential Equations: Basic Theory New Trade Paper
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Product details 604 pages Springer-Verlag - English 9780387946542 Reviews:
"Synopsis" by , 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.
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