Topological Analysis: From the Basics to the Triple Degree for Nonlinear Fredholm Inclusions

ISBN-13: 9783110277227 / Angielski / Twarda / 2012 / 499 str.

Martin Väth

Opis

This monograph is an introduction to some special aspects of topology, functional analysis, and analysis for the advanced reader. It also wants to develop a degree theory for function triples which unifies and extends most known degree theories. The book aims to be self-contained and many chapters could even serve as a basis of a course on the covered topics. Only knowledge in basic calculus and of linear algebra is assumed.

Recenzje

"The book invites the reader to go on a journey from the basics of topology, through the fields of multivalued maps and Fredholm operators, up to constructions of topological degrees (both those which have been known for decades as well as more recent ones) which are presented in great detail. [...] The book gives a very detailed study of different topological concepts that play important roles in a modern approach to nonlinear analysis problems, with special emphasis put on the study of problems involving set-valued maps and operators. It can surely be recommended to researchers and students interested in homotopy invariants and their applications in the theory of differential equations/inclusions." Zentralblatt für Mathematik

O autorze

Martin Väth, Freie Universität Berlin, Germany.