Brouwer Degree The Core of Nonlinear Analysis

éditeur : Birkhäuser
catégorie : Sciences et médecine > Mathématiques
date de publication :
délai de livraison : Immédiat (à partir de la date de publication)


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105,49 €
Lecture multi-support


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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Titre Brouwer Degree - The Core of Nonlinear Analysis
Auteurs ,
Editeur Birkhäuser
Langue EN
Date de publication 12/05/2021

Droits numériques

Ean EPUB 9783030632304
Type de protection Adobe DRM
Ean papier 9783030632298