This book provides an introduction to degree theory and its applications to nonlinear differential equations. It uses an applications-oriented to address functional analysis, general topology and differential equations and offers a unified treatment of the classical Brouwer degree, the recently developed S 1 -degree and the Dold-Ulrich degree for equivalent mappings and bifurcation problems. It integrates two seemingly disparate concepts, beginning with review material before shifting to classical theory and advanced application techniques.
Rezensionen / Stimmen
The book is clearly written and can be recommended to graduate students interested in differential equations. (European Mathematical Society Newlsetter, Issue 35, March 2000)
Reihe
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Illustrationen
Maße
Höhe: 160 mm
Breite: 240 mm
Gewicht
ISBN-13
978-0-471-15740-3 (9780471157403)
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Schweitzer Klassifikation
Elements of Differential Topology. Degree in Finite--Dimensional Spaces. Leray--Schauder Degree for Compact Fields. Nussbaum--Sadovskii Degree for Condensing Fields. Applications to Bifurcation Theory. S 1 --Equivariant Degree. Global Hopf Bifurcation Theory. Equivariant Degree of Dold--Ulrich. References. Index.
