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Fixed point theorems and their applications

Author: Ioannis Farmakis; Martin A Moskowitz
Publisher: [Hackensack], New Jersey : World Scientific, [2013] ©2013
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
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  Read more...
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Document Type: Book
All Authors / Contributors: Ioannis Farmakis; Martin A Moskowitz
ISBN: 9789814458917 9814458910
OCLC Number: 867023876
Description: xi, 234 pages : illustrations ; 24 cm
Contents: Preface and acknowledgments --
Introduction --
Early fixed point theorems --
Fixed point theorems in analysis --
The Lefschetz fixed point theorem --
Fixed point theorems in geometry --
Fixed points of volume preserving maps --
Borels fixed point theorem in algebraic groups --
Miscellaneous fixed point theorems --
A fixed point theorem in set theory.
Responsibility: Ioannis Farmakis, Martin Moskowitz, City University of New York, USA.

Abstract:

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 --

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