MARC Record from harvard_bibliographic_metadata

LEADER: 03337cam a22004094a 4500
001 013367766-4
005 20120726135417.0
008 120312s2012 gw a b 001 0 eng
010 $a 2012006139
016 7 $a016102265$2Uk
020 $a9783110277227 (hardcover : alk. paper)
020 $a3110277220 (hardcover : alk. paper)
020 $a9783110277333 (e-book)
020 $a3110277336 (e-book)
020 $a9783110277340 (set (hardcover + e-book))
020 $a3110277344 (set (hardcover + e-book))
035 0 $aocn780161503
040 $aDLC$beng$cDLC$dYDX$dYDXCP$dBTCTA$dOHX$dUKMGB$dDLC
042 $apcc
050 00 $aQA612$b.V38 2012
072 7 $aQA$2lcco
082 00 $a515/.724$223
100 1 $aVäth, Martin,$d1967-
245 10 $aTopological analysis :$bfrom the basics to the triple degree for nonlinear Fredholm inclusions /$cMartin Väth.
260 $aBerlin ;$aBoston :$bDe Gruyter,$cc2012.
300 $aix, 490 p. :$bill. ;$c25 cm.
490 1 $aDe Gruyter series in nonlinear analysis and applications,$x0941-813X ;$v16
504 $aIncludes bibliographical references and indexes.
520 $a"This monograph aims to give a self-contained introduction into the whole field of topological analysis: Requiring essentially only basic knowledge of elementary calculus and linear algebra, it provides all required background from topology, analysis, linear and nonlinear functional analysis, and multivalued maps, containing even basic topics like separation axioms, inverse and implicit function theorems, the Hahn-Banach theorem, Banach manifolds, or the most important concepts of continuity of multivalued maps. Thus, it can be used as additional material in basic courses on such topics. The main intention, however, is to provide also additional information on some fine points which are usually not discussed in such introductory courses. The selection of the topics is mainly motivated by the requirements for degree theory which is presented in various variants, starting from the elementary Brouwer degree (in Euclidean spaces and on manifolds) with several of its famous classical consequences, up to a general degree theory for function triples which applies for a large class of problems in a natural manner. Although it has been known to specialists that, in principle, such a general degree theory must exist, this is the first monograph in which the corresponding theory is developed in detail."--Publisher's website.
505 0 $aIntroduction -- Part I. Topology and Multivalued Maps. Multivalued Maps ; Metric Spaces ; Spaces Defined by Extensions, Retractions, or Homotopies ; Advanced Topological Tools. -- Part II. Coincidence Degree for Fredholm Maps. Some Functional Analysis ; Orientation of Families of Linear Fredholm Operators ; Some Nonlinear Analysis ; The Brouwer Degree ; The Benevieri-Furi Degrees. -- Part III. Degree Theory for Function Triples. Function Triples ; The Degree for Finite-Dimensional Fredholm Triples ; The Degree for Compact Fredholm Triples ; The Degree for Noncompact Fredholm Triples.
650 0 $aTopological degree.
650 0 $aTopological spaces.
650 0 $aFredholm operators.
650 0 $aAlgebraic topology.
830 0 $aDe Gruyter series in nonlinear analysis and applications ;$v16.
988 $a20121003
906 $0DLC