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Fixed point theory

Fixed point theory

Andrzej Granas, James Dugundji

706 pages, parution le 07/08/2003

Résumé

Granas-Dugundji's book is an encyclopedic survey of the classical fixed point theory of continuous maps (the work of Poincaré, Brouwer, Lefschetz-Hopf, Leray-Schauder) and all its various modern extensions. This is certainly the most learned book ever likely to be published on this subject.

Felix Browder, Rutgers University

The theory of Fixed Points is one of the most powerful tools of modern mathematics. Not only is it used on a daily basis in pure and applied mathematics, but it also serves as a bridge between Analysis and Topology, and provides a very fruitful area of interaction between the two. This book contains a clear, detailed and well-organized presentation of the major results, together with an entertaining set of historical notes and an extensive bibliography describing further developments and applications.

Haim Brézis, Rutgers University

This monograph gives a carefully worked out account of the most basic principles and applications of the theory of fixed points. Until now, a treatment of many of the discussed topics has been unavailable in book form. The presentation is self-contained and is accessible to a broad spectrum of readers, including mathematically oriented people interested in applications. The main text is complemented by numerous exercises, comments and a comprehenseive bibliography.

Contents

  • Elementary Fixed Point Theorems
  • Theorem of Borsuk and Topological Transversality
  • Homology and Fixed Points
  • Leray-Schauder Degree and Fixed Point Index
  • The Lefschetz-Hopf Theory
  • Selected Topics
  • Appendix
  • Bibliography
  • List of Standards Symbols
  • Index of Names
  • Index of Terms

L'auteur - Andrzej Granas

Universite de Montreal, QC, Canada.

L'auteur - James Dugundji

Universite de Montreal, QC, Canada.

Caractéristiques techniques

  PAPIER
Éditeur(s) Springer
Auteur(s) Andrzej Granas, James Dugundji
Parution 07/08/2003
Nb. de pages 706
Format 16 x 24
Couverture Relié
Poids 1120g
Intérieur Noir et Blanc
EAN13 9780387001739
ISBN13 978-0-387-00173-9

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