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Brouwer Degree
George Dinca, Jean Mawhin (Broschiert, Englisch)
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Beschreibung
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. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
13.05.2022
Sprache
Englisch
EAN
9783030632328
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Progress in Nonlinear Differential Equations and Their Applications
Sonderedition
Nein
Autor
George Dinca, Jean Mawhin
Seitenanzahl
447
Einbandart
Broschiert
Buch Untertitel
The Core of Nonlinear Analysis
Schlagwörter
Brouwer Degree, Brouwer Degree Nonlinear Analysis, Brouwer Degree differential equations, Brouwer Degree difference equations, Brouwer Fixed-Point Theorem, Kroenecker Index, KMM theorem, Bifurcation Brouwer degree, Continuation theorems, Surjectivity Brouwer degree, Kakutani fixed point theorem, Von Neumann minimax theorem, Nash equilibrium non-cooperative game
Thema-Inhalt
PBKF - Funktionalanalysis und Abwandlungen
PBKJ - Differentialrechnung und -gleichungen
PBP - Topologie
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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