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Q&A | February 27, 2014

Rene Denfeld: IMG Powell’s Q&A: Rene Denfeld



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    The Enchanted

    Rene Denfeld 9780062285508

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Partial Differential Equations II #2: Partial Differential Equations II

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Partial Differential Equations II #2: Partial Differential Equations II Cover

 

Synopses & Reviews

Publisher Comments:

This is the second of three volumes on partial differential equations. It builds upon the basic theory of linear PDE given in Volume 1, and pursues some more advanced topics in linear PDE. Analytical tools introduced in Volume 2 for these studies include pseudodifferential operators, the functional analysis of self-adjoint operators, and Wiener measure. There is also a development of basic differential geometrical concepts, centered about curvature. Topics covered include spectral theory of elliptic differential operators, the theory of scattering of waves by obstacles, index theory for Dirac operators, and Brownian motion and diffusion. The 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 second in the series of three volumes builds upon the basic theory of linear PDE given in volume 1, and pursues more advanced topics. Analytical tools introduced here include pseudodifferential operators, the functional analysis of self-adjoint operators, and Wiener measure. The book also develops basic differential geometrical concepts, centred about curvature. Topics covered include spectral theory of elliptic differential operators, the theory of scattering of waves by obstacles, index theory for Dirac operators, and Brownian motion and diffusion.

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.

Table of Contents

Contents: Contents of Volumes I and III.- Introduction.- Pseudodifferential Operators.- Spectral Theory.- Scattering by Obstacles.- Dirac Operators and Index Theory.- Brownian Motion and Potential Theory.- The Partial-Neumann Problem.- Connections and Curvature.- Index.

Product Details

ISBN:
9780387946511
Author:
Taylor, Michael
Publisher:
Springer
Author:
Taylor, Michael E.
Location:
New York :
Subject:
General
Subject:
Differential Equations
Subject:
Mathematical Analysis
Subject:
Differential Equations - Partial Differential Equations
Subject:
Differential equations, partial
Subject:
Science Reference-General
Edition Number:
2
Edition Description:
1996. Corr. 2nd
Series:
Partial Differential Equations II
Series Volume:
2
Publication Date:
19960631
Binding:
Hardcover
Language:
English
Illustrations:
Y
Pages:
556
Dimensions:
9.50x6.33x1.30 in. 2.01 lbs.

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Related Subjects

Science and Mathematics » Mathematics » General

Partial Differential Equations II #2: Partial Differential Equations II New Hardcover
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Product details 556 pages Springer-Verlag - English 9780387946511 Reviews:
"Synopsis" by , This second in the series of three volumes builds upon the basic theory of linear PDE given in volume 1, and pursues more advanced topics. Analytical tools introduced here include pseudodifferential operators, the functional analysis of self-adjoint operators, and Wiener measure. The book also develops basic differential geometrical concepts, centred about curvature. Topics covered include spectral theory of elliptic differential operators, the theory of scattering of waves by obstacles, index theory for Dirac operators, and Brownian motion and diffusion.
"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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