Fixed Points - Yu. A. Shashkin (1991)
ISBN 082189000X
Publisher American Mathematical Society
Publication Date November 1991
Format Paperback (249 x 173 mm)
The theory of fixed points finds its roots in the work of Poincaré, Brouwer, and Sperner and makes extensive use of such topological notions as continuity, compactness, homotopy, and the degree of a mapping. Fixed point theorems have numerous applications in mathematics; most of the theorems ensuring the existence of solutions for differential, integral, operator, or other equations can be reduced to fixed point theorems. In addition, these theorems are used in such areas as mathematical economics and game theory.

This book presents a readable exposition of fixed point theory. The author focuses on the problem of whether a closed interval, square, disk, or sphere has the fixed point property. Another aim of the book is to show how fixed point theory uses combinatorial ideas related to decomposition (triangulation) of figures into distinct parts called faces (simplexes), which adjoin each other in a regular fashion. All necessary background concepts---such as continuity, compactness, degree of a map, and so on---are explained, making the book accessible even to students at the high school level. In addition, the book contains exercises and descriptions of applications. Readers will appreciate this book for its lucid presentation of this fundamental mathematical topic.

Personal Details
Collection Status In Collection
Index 614
Read It Yes
Loaned To Barry
Loan Date 9/12/2013
Due Date 11/11/2013
Overdue Yes
Links Amazon US
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Product Details
LoC Classification QA329.9.S5313 vol.2 1991
Cover Price $17.00
No. of Pages 370