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Beschreibung
Partial differential equations are fundamental to the modeling of natural phenomena; they arise 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. This book, meant for a beginning graduate student audience, provides a thorough introduction to partial differential equations. It will bring the student up to the level of beginning research in the field.
Partial differential equations are fundamental to the modeling of natural phenomena; they arise 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. This book, meant for a beginning graduate student audience, provides a thorough introduction to partial differential equations. It will bring the student up to the level of beginning research in the field.
Über den Autor
Zusammenfassung
Partial differential equations are fundamental to the modeling of natural phenomena; they arise 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. This book, meant for a beginning graduate student audience, provides a thorough introduction to partial differential equations. It will bring the student up to the level of beginning research in the field.
Inhaltsverzeichnis
Characteristics.- Conservation Laws and Shocks.- Maximum Principles.- Distributions.- Function Spaces.- Sobolev Spaces.- Operator Theory.- Linear Elliptic Equations.- Nonlinear Elliptic Equations.- Energy Methods for Evolution Problems.- Semigroup Methods.
Details
Erscheinungsjahr: 2004
Fachbereich: Analysis
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Texts in Applied Mathematics
Inhalt: xiv
434 S.
21 s/w Illustr.
434 p. 21 illus.
ISBN-13: 9780387004440
ISBN-10: 0387004440
Sprache: Englisch
Einband: Gebunden
Autor: Renardy, Michael
Rogers, Robert C.
Auflage: Second Edition 2004
Hersteller: Humana
Springer
Springer US, New York, N.Y.
Texts in Applied Mathematics
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 241 x 160 x 31 mm
Von/Mit: Michael Renardy (u. a.)
Erscheinungsdatum: 08.01.2004
Gewicht: 0,852 kg
Artikel-ID: 102507214