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Mathematics James Dugundji: Fixed Point Theory

Posted on 2010-04-12




Name:Mathematics James Dugundji: Fixed Point Theory
ASIN/ISBN:0387001735
Language:English
File size:6 Mb
Pages: 552
ISBN: 0387001735
File Size: 6 MB
Other Info: DJVU searchable text; Springer; 1 edition (June 26, 2003)
   Mathematics James Dugundji:  Fixed Point Theory

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James Dugundji: Fixed Point Theory

"Granas-Dugundji's book is an encyclopedic survey of the classical fixed point theory of continuous maps (the work of Poincar¨¦, 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 Br¨¦zis, 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.

Andrzej Granas studied in Warsaw and then Moscow, where he earned his doctorate in 1958 under Lazar Lusternik. Since 1958 he has held various research and teaching posts in Poland, Canada, and elsewhere. During the Spring of 1970 he occupied a special chair at the Coll¨¨ge de France. In the early nineties, Dr. Granas founded the journal Topological Methods of Nonlinear Analysis, and since 1992, he has served on the Editorial Board of the Zentralblatt. He is an honorary member of the Gdansk Scientific Society.



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