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Brouwer Degree

The Core of Nonlinear Analysis de

,

Éditeur :

Birkhäuser


Collection :

Progress in Nonlinear Differential Equations and Their Applications

Paru le : 2021-05-11

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Description
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.
Pages
447 pages
Collection
Progress in Nonlinear Differential Equations and Their Applications
Parution
2021-05-11
Marque
Birkhäuser
EAN papier
9783030632298
EAN PDF
9783030632304
Informations sur l'ebook
Nombre pages copiables
4
Nombre pages imprimables
44
Taille du fichier
5028 Ko
Prix
126,59 €
EAN EPUB
9783030632304
Informations sur l'ebook
Nombre pages copiables
4
Nombre pages imprimables
44
Taille du fichier
22702 Ko
Prix
126,59 €

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