Brouwer Degree

Brouwer Degree
Author :
Publisher : Springer Nature
Total Pages : 462
Release :
ISBN-10 : 9783030632304
ISBN-13 : 303063230X
Rating : 4/5 (30X Downloads)

Book Synopsis Brouwer Degree by : George Dinca

Download or read book Brouwer Degree written by George Dinca and published by Springer Nature. This book was released on 2021-05-11 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Brouwer Degree Related Books

Method of Guiding Functions in Problems of Nonlinear Analysis
Language: en
Pages: 189
Authors: Valeri Obukhovskii
Categories: Mathematics
Type: BOOK - Published: 2013-05-13 - Publisher: Springer

GET EBOOK

This book offers a self-contained introduction to the theory of guiding functions methods, which can be used to study the existence of periodic solutions and th
Brouwer Degree
Language: en
Pages: 462
Authors: George Dinca
Categories: Mathematics
Type: BOOK - Published: 2021-05-11 - Publisher: Springer Nature

GET EBOOK

This monograph explores the concept of the Brouwer degree and its continuing impact on the development of important areas of nonlinear analysis. The authors def
Methods of Nonlinear Analysis
Language: en
Pages: 366
Authors: Richard Bellman
Categories: Mathematics
Type: BOOK - Published: 1970-04-01 - Publisher: Elsevier

GET EBOOK

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques
Geometrical Methods of Nonlinear Analysis
Language: en
Pages: 440
Authors: Mark Aleksandrovich Krasnoselʹskiĭ
Categories: Mathematics
Type: BOOK - Published: 1984 - Publisher: Springer

GET EBOOK

Geometrical (in particular, topological) methods in nonlinear analysis were originally invented by Banach, Birkhoff, Kellogg, Schauder, Leray, and others in exi
Methods of Nonlinear Analysis
Language: en
Pages: 282
Authors: Bellman
Categories: Computers
Type: BOOK - Published: 1973-05-25 - Publisher: Academic Press

GET EBOOK

Methods of Nonlinear Analysis