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Partial Differential Equations II

  • Livre Relié
  • 614 Nombre de pages
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This is the second of three volumes on partial differential equations. It builds upon the basic theory of linear PDE given in Volu... Lire la suite
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Description

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.

Auteur

Michael E. Taylor is a Professor at University of North Carolina in the Department of Mathematics.



Texte du rabat

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.



Contenu
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.

Informations sur le produit

Titre: Partial Differential Equations II
Auteur:
Code EAN: 9781441970510
ISBN: 1441970517
Format: Livre Relié
Genre: Mathématique
nombre de pages: 614
Poids: 1080g
Taille: H242mm x B166mm x T46mm
Parution: 01.12.2010
Année: 2010
Auflage: 2nd Edition

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