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Brouwer Degree: The Core of Nonlinear Analysis (Progress in Nonlinear Differential Equations and Their Applications, Band 95) - Softcover

Buch 52 von 53: Progress in Nonlinear Differential Equations and Their Applications

Dinca, George; Mawhin, Jean

 
9783030632328: Brouwer Degree: The Core of Nonlinear Analysis (Progress in Nonlinear Differential Equations and Their Applications, Band 95)
Softcover
ISBN 10: 3030632326 ISBN 13: 9783030632328
Verlag: Birkhäuser, 2022

Inhaltsangabe

This monograph explores the concept of the Brouwer degree and its continuing impact on the development of important areas of nonlinear analysis. The authors define the degree using an analytical approach proposed by Heinz in 1959 and further developed by Mawhin in 2004, linking it to the Kronecker index and employing the language of differential forms. The chapters are organized so that they can be approached in various ways depending on the interests of the reader. Unifying this structure is the central role the Brouwer degree plays in nonlinear analysis, which is illustrated with existence, surjectivity, and fixed point theorems for nonlinear mappings. Special attention is paid to the computation of the degree, as well as to the wide array of applications, such as linking, differential and partial differential equations, difference equations, variational and hemivariational inequalities, game theory, and mechanics. Each chapter features bibliographic and historical notes, and the final chapter examines the full history. Brouwer Degree will serve as an authoritative reference on the topic and will be of interest to professional mathematicians, researchers, and graduate students.

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This monograph explores the concept of the Brouwer degree and its continuing impact on the development of important areas of nonlinear analysis. The authors define the degree using an analytical approach proposed by Heinz in 1959 and further developed by Mawhin in 2004, linking it to the Kronecker index and employing the language of differential forms. The chapters are organized so that they can be approached in various ways depending on the interests of the reader. Unifying this structure is the central role the Brouwer degree plays in nonlinear analysis, which is illustrated with existence, surjectivity, and fixed point theorems for nonlinear mappings. Special attention is paid to the computation of the degree, as well as to the wide array of applications, such as linking, differential and partial differential equations, difference equations, variational and hemivariational inequalities, game theory, and mechanics. Each chapter features bibliographic and historical notes, and the final chapter examines the full history. Brouwer Degree will serve as an authoritative reference on the topic and will be of interest to professional mathematicians, researchers, and graduate students.

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Verlag
Birkhäuser
Erscheinungsdatum
2022
Sprache
Englisch
ISBN 10 
3030632326
ISBN 13 
9783030632328
Einband
Taschenbuch
Auflage
1
Anzahl der Seiten
466
Kontakt zum Hersteller
preigu GmbH & Co. KG
mail@preigu.de

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