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Progress in Nonlinear Differential Equations and Their Applications

Brouwer Degree

The Core of Nonlinear Analysis

Authors: Dinca, George, Mawhin, Jean

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  • Explores the Brouwer degree and its continuing impact on the development of nonlinear analysis
  • Uses an analytical approach with the language of differential forms to introduce the Brouwer degree with simplicity and clear motivation
  • Presents a broad view of the topic, including a wide variety of applications as well as numerous historical notes
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eBook 93,08 €
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  • ISBN 978-3-030-63230-4
  • Digitally watermarked, DRM-free
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Hardcover 114,39 €
price for Spain (gross)
  • ISBN 978-3-030-63229-8
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  • Covid-19 shipping restrictions
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About this book

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.

Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook 93,08 €
price for Spain (gross)
  • ISBN 978-3-030-63230-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 114,39 €
price for Spain (gross)
  • ISBN 978-3-030-63229-8
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Brouwer Degree
Book Subtitle
The Core of Nonlinear Analysis
Authors
Series Title
Progress in Nonlinear Differential Equations and Their Applications
Series Volume
95
Copyright
2021
Publisher
Birkhäuser Basel
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-63230-4
DOI
10.1007/978-3-030-63230-4
Hardcover ISBN
978-3-030-63229-8
Series ISSN
1421-1750
Edition Number
1
Number of Pages
XIX, 447
Number of Illustrations
2 illustrations in colour
Topics