Topological Analysis : : From the Basics to the Triple Degree for Nonlinear Fredholm Inclusions /

Topological Analysis : : From the Basics to the Triple Degree for Nonlinear Fredholm Inclusions / / Martin Väth.

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This monograph aims to give a self-contained introduction into the whole field of topological analysis: Requiring essentially only basic knowledge of elementary calculus and linear algebra, it provides all required background from topology, analysis, linear and nonlinear functional analysis, and mul...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Studies in Nonlinear Analysis and Applications
VerfasserIn:
Väth, Martin,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2012]
©2012
Year of Publication:2012
Language:English
Series:De Gruyter Series in Nonlinear Analysis and Applications , 16
Online Access:
Physical Description:1 online resource (490 p.)
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Table of Contents:
  • Frontmatter
  • Preface
  • Contents
  • Chapter 1. Introduction
  • Part I. Topology and Multivalued Maps
  • Chapter 2. Multivalued Maps
  • Chapter 3. Metric Spaces
  • Chapter 4. Spaces Defined by Extensions, Retractions, or Homotopies
  • Chapter 5. Advanced Topological Tools
  • Part II. Coincidence Degree for Fredholm Maps
  • Chapter 6. Some Functional Analysis
  • Chapter 7. Orientation of Families of Linear Fredholm Operators
  • Chapter 8. Some Nonlinear Analysis
  • Chapter 9. The Brouwer Degree
  • Chapter 10. The Benevieri–Furi Degrees
  • Part III. Degree Theory for Function Triples
  • Chapter 11. Function Triples
  • Chapter 12. The Degree for Finite-Dimensional Fredholm Triples
  • Chapter 13. The Degree for Compact Fredholm Triples
  • Chapter 14. The Degree for Noncompact Fredholm Triples
  • Bibliography
  • Index of Symbols
  • Index

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