An Introduction to Partial Differential Equations (Texts in Applied Mathematics, 13, Band 13) [Hardcover] Renardy, Michael and Rogers, Robert C.
Renardy, Michael; Rogers, Robert C.
ISBN 10: 0387004440 ISBN 13: 9780387004440
Published by Springer, 2004
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unread, like new - will be dispatched immediately. Seller Inventory # CE-2310C-CHAISEK-08-2000
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Partial differential equations 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, partial differential equations 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 course. 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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Bibliographic Details
Title: An Introduction to Partial Differential ...
Publisher: Springer
Publication Date: 2004
Binding: Hardcover
Condition: As New
Edition: 2. Auflage
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An Introduction to Partial Differential Equations
Published by
Springer-Verlag Gmbh Jan 2004, 2004
ISBN 10: 0387004440
ISBN 13: 9780387004440
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Buch. Condition: Neu. Neuware -Partial differential equations 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, partial differential equations 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 course. 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.Springer-Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 434 pp. Englisch. Seller Inventory # 9780387004440
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