A Topological Introduction to Nonlinear Analysis
Published on 1. June 1996
Book
Paperback/Softback
IX, 146 pages
978-0-8176-3706-4 (ISBN)
Description
"The book is highly recommended as a text for an introductory course in nonlinear analysis and bifurcation theory... reading is fluid and very pleasant... style is informal but far from being imprecise." -review of the first edition. New to this edition: additional applications of the theory and techniques, as well as several new proofs. This book is ideal for self-study for mathematicians and students interested in geometric and algebraic topology, functional analysis, differential equations, and applied mathematics.
More details
Language
English
Place of publication
MA
United States
Target group
College/higher education
Professional and scholarly
Illustrations
23 s/w Abbildungen
39 illustraitons
Dimensions
Height: 23.5 cm
Width: 15.5 cm
Weight
235 gr
ISBN-13
978-0-8176-3706-4 (9780817637064)
DOI
10.1007/978-1-4757-1209-4
Schweitzer Classification
Other editions
New editions
Robert F. Brown
A Topological Introduction to Nonlinear Analysis
Book
12/2003
2nd Edition
Birkhauser Boston Inc
€48.10
Shipment within 15-20 days
Additional editions
Robert F. Brown
A Topological Introduction to Nonlinear Analysis
E-Book
04/2013
Birkhäuser
€29.99
Available for download
Previous edition
Robert F. Brown
A Topological Introduction to Nonlinear Analysis
Book
09/1993
Birkhäuser Verlag GmbH
€29.71
Article exhausted; check different version
Content
I: Fixed Point Existence Theory.- 1. The Topological Point of View.- 2. Ascoli-Arzela Theory.- 3. Brouwer Fixed Point Theory.- 4. Schauder Fixed Point Theory.- 5. Equilibrium Heat Distribution.- 6. Generalized Bernstein Theory.- II: Degree and Bifurcation.- 7. Some Topological Background.- 8. Brouwer Degree.- 9. Leray-Schauder Degree.- 10. Properties of the Leray-Schauder Degree.- 11. A Separation Theorem.- 12. Compact Linear Operators.- 13. The Degree Calculation.- 14. The Krasnoselskii-Rabinowitz Bifurcation Theorem.- 15. Nonlinear Sturm-Liouville Theory.- 16. Euler Buckling.- Appendices.- A. Singular Homology.- B. Additivity and Product Properties.- References.