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Lecture Notes on Functional Analysis: With Applications to Linear Partial Differential Equations - Couverture souple

Livre 118 sur 190: Graduate Studies in Mathematics

Bressan, Alberto

 
9781470465728: Lecture Notes on Functional Analysis: With Applications to Linear Partial Differential Equations
Couverture souple
ISBN 10 : 1470465728 ISBN 13 : 9781470465728
Editeur : American Mathematical Society, 2013

Synopsis

This textbook is addressed to graduate students in mathematics or other disciplines who wish to understand the essential concepts of functional analysis and their applications to partial differential equations.

The book is intentionally concise, presenting all the fundamental concepts and results but omitting the more specialized topics. Enough of the theory of Sobolev spaces and semigroups of linear operators is included as needed to develop significant applications to elliptic, parabolic, and hyperbolic PDEs. Throughout the book, care has been taken to explain the connections between theorems in functional analysis and familiar results of finite-dimensional linear algebra.

The main concepts and ideas used in the proofs are illustrated with a large number of figures. A rich collection of homework problems is included at the end of most chapters. The book is suitable as a text for a one-semester graduate course.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l'auteur

Alberto Bressan, Pennsylvania State University, University Park, PA.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
American Mathematical Society
Date d'édition
2013
Langue
anglais
ISBN 10 
1470465728
ISBN 13 
9781470465728
Reliure
Broché
Nombre de pages
250
Coordonnées du fabricant
non disponible
Personne responsable
non disponible