rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Fixed point theory
  name:
    name part: Granas, Andrzej.
    role:
      role term: creator
  name:
    name part: Dugundji, James.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: nyu
    date issued: 2003
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource.
  abstract: "Granas-Dugundji's book is an encyclopedic survey of the classical fixed point theory of continuous mappings (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."--Ham Brzis, Universit Pierre et Marie Curie "In this monograph, no effort has been spared, even to the smallest detail, be it mathematical, historical or bibliographical. In particular, the necessary background materials are generously provided for non-specialists. In fact, the book could even serve as an introduction to algebraic topology among others. It is certain that the book will be a standard work on Fixed Point Theory for many years to come."--Isaac Namioka, University of Washington 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. The main text is complemented by numerous exercises, detailed comments, and a comprehensive bibliography. Andrzej Granas studied in Warsaw and then Moscow, where he earned his Ph. D. in 1958 under Lazar Lusternik. Since 1958, he has held various research and teaching posts in Poland, USA, Canada and elsewhere. During the Spring of 1970, he occupied a specia…
  table of contents: Elementary Fixed Point Theorems -- Theorem of Borsuk and Topological Transversality -- Homology and Fixed Points -- Leray-Schauder Degree and Fixed Point Index -- The Lefschetz-Hopf Theory -- Selected Topics -- Index.
  note: Andrzej Granas, James Dugundji.
  note: Electronic resource.
  note: Includes bibliographical references (pp620-667) and indexes.
  subject:
    topic: Fixed point theory
  subject:
    topic: Fixed point theory
  classification: QA329.9 .D833 2003eb
  classification: 515/.7248
  related item:
    title info:
      title: Fixed point theory
    name:
      name part: Granas, Andrzej.
    origin info:
      publisher: New York ; London : Springer, ©2003
    identifier: (DLC) 2002042736
  related item:
    title info:
      title: Springer monographs in mathematics
  identifier: 9780387215938 (electronic bk.)
  identifier: 038721593X (electronic bk.)
  identifier: 0387001735
  identifier: 9780387001739
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: UAB
    record creation date: 021114
    record change date: 20260420201047.3
    record identifier: in00003508380
    language of cataloging:
      language term: eng