Includes bibliographical references (pages 219-227) and index.
Preface and acknowledgments
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.
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 -- Source other than Library of Congress.