An Introduction to Partial Differential Equations: 13 (Texts in Applied Mathematics) - Hardcover

Renardy, Michael; Rogers, Robert C.

 
9780387004440: An Introduction to Partial Differential Equations: 13 (Texts in Applied Mathematics)
Hardcover
ISBN 10: 0387004440 ISBN 13: 9780387004440
Verlag: Springer, 2004

Inhaltsangabe

Partial differential equations are fundamental to the modeling of natural phenomena. The desire to understand the solutions of these equations has always had a prominent place in the efforts of mathematicians and has inspired such diverse fields as complex function theory, functional analysis, and algebraic topology. This book, meant for a beginning graduate audience, provides a thorough introduction to partial differential equations.

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 Partial differential equations (PDEs) are fundamental to the modeling of natural phenomena, arising in every field of science. Consequently, the desire to understand the solutions of these equations has always had a prominent place in the efforts of mathematicians; it has inspired such diverse fields as complex function theory, functional analysis, and algebraic topology. Like algebra, topology, and rational mechanics, PDEs are a core area of mathematics.

This book aims to provide the background necessary to initiate work on a Ph.D. thesis in PDEs for beginning graduate students. Prerequisites include a truly advanced calculus course and basic complex variables. Lebesgue integration is needed only in chapter 10, and the necessary tools from functional analysis are developed within the coarse. The book can be used to teach a variety of different courses.

This new edition features new problems throughout, and the problems have been rearranged in each section from simplest to most difficult. New examples have also been added. The material on Sobolev spaces has been rearranged and expanded. A new section on nonlinear variational problems with "Young-measure" solutions appears. The reference section has also been expanded.

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Verlag
Springer
Erscheinungsdatum
2004
Sprache
Englisch
ISBN 10 
0387004440
ISBN 13 
9780387004440
Einband
Tapa dura
Auflage
2
Anzahl der Seiten
460
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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Weitere beliebte Ausgaben desselben Titels

9781441918208: An Introduction to Partial Differential Equations: 13 (Texts in Applied Mathematics)

Vorgestellte Ausgabe

ISBN 10:  1441918205 ISBN 13:  9781441918208
Verlag: Springer, 2010
Softcover