Fixed Point Theorems And Their Applications, 1st Edition

  • Published By: World Scientific Publishing Company
  • ISBN-10: 9814458929
  • ISBN-13: 9789814458924
  • DDC: 515.7248
  • Grade Level Range: College Freshman - College Senior
  • 248 Pages | eBook
  • Original Copyright 2013 | Published/Released January 2015
  • This publication's content originally published in print form: 2013

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This is the only book that deals comprehensively with fixed point theorems throughout mathematics. Their importance is due, as the book demonstrates, to their wide applicability. Beyond the first chapter, each of the other seven can be read independently of the others so the reader has much flexibility to follow his/her own interests. The book is written for graduate students and professional mathematicians and could be of interest to physicists, economists and engineers.

Table of Contents

Front Cover.
Half Title Page.
Title Page.
Copyright Page.
Preface and Acknowledgments.
1: Introduction.
2: Early Fixed Point Theorems.
3: Fixed Point Theorems in Analysis.
4: The Lefschetz Fixed Point Theorem.
5: Fixed Point Theorems in Geometry.
6: Fixed Points of Volume Preserving Maps.
7: Borel's Fixed Point Theorem in Algebraic Groups.
8: Miscellaneous Fixed Point Theorems.
9: A Fixed Point Theorem in Set Theory.