Authors:
- 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
Part of the book series: Progress in Nonlinear Differential Equations and Their Applications (PNLDE, volume 95)
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Table of contents (8 chapters)
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Front Matter
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Back Matter
About this book
Keywords
- 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
Authors and Affiliations
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Faculty of Mathematics & Computer Science, University of Bucharest, Bucharest, Romania
George Dinca
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IRMP, Université Catholique de Louvain, Louvain-la-Neuve, Belgium
Jean Mawhin
Bibliographic Information
Book Title: Brouwer Degree
Book Subtitle: The Core of Nonlinear Analysis
Authors: George Dinca, Jean Mawhin
Series Title: Progress in Nonlinear Differential Equations and Their Applications
DOI: https://doi.org/10.1007/978-3-030-63230-4
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-63229-8Published: 12 May 2021
Softcover ISBN: 978-3-030-63232-8Published: 13 May 2022
eBook ISBN: 978-3-030-63230-4Published: 11 May 2021
Series ISSN: 1421-1750
Series E-ISSN: 2374-0280
Edition Number: 1
Number of Pages: XIX, 447
Number of Illustrations: 2 illustrations in colour
Topics: Functional Analysis, Analysis, Difference and Functional Equations, Topology