
Topological Analysis
From the Basics to the Triple Degree for Nonlinear Fredholm Inclusions
Martin Väth(Author)
De Gruyter (Publisher)
1st Edition
Published in May 2012
Book
Mixed media product
IX, 490 pages
978-3-11-027734-0 (ISBN)
Article exhausted; check different version
Description
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.
More details
Series
Language
English
Place of publication
Berlin/Boston
Germany
Target group
Professional and scholarly
US School Grade: College Graduate Student
Illustrations
Includes a print version and an ebook
Dimensions
Height: 24 cm
Width: 17 cm
ISBN-13
978-3-11-027734-0 (9783110277340)
Schweitzer Classification
Other editions
Additional editions

Martin Väth
Topological Analysis
From the Basics to the Triple Degree for Nonlinear Fredholm Inclusions
E-Book
05/2012
1st Edition
De Gruyter
€210.00
Available for download

Martin Väth
Topological Analysis
From the Basics to the Triple Degree for Nonlinear Fredholm Inclusions
Book
05/2012
1st Edition
De Gruyter
€210.00
Shipment within 7-9 days
Person
Martin Väth, Freie Universität Berlin, Germany.