Topics in Nonlinear Functional Analysis (Courant Lecture Notes) - Softcover

Nirenberg, Louis

 
9780821828199: Topics in Nonlinear Functional Analysis (Courant Lecture Notes)
Softcover
ISBN 10: 0821828193 ISBN 13: 9780821828199
Verlag: American Mathematical Society, 2001

Inhaltsangabe

Since its first appearance as a set of lecture notes published by the Courant Institute in 1974, this book served as an introduction to various subjects in nonlinear functional analysis. The current edition is a reprint of these notes, with added bibliographic references. Topological and analytic methods are developed for treating nonlinear ordinary and partial differential equations. The first two chapters of the book introduce the notion of topological degree and develop its basic properties. These properties are used in later chapters in the discussion of bifurcation theory (the possible branching of solutions as parameters vary), including the proof of Rabinowitz's global bifurcation theorem. Stability of the branches is also studied.The book concludes with a presentation of some generalized implicit function theorems of Nash-Moser type with applications to Kolmogorov-Arnold-Moser theory and to conjugacy problems. After more than 20 years, this book continues to be an excellent graduate level textbook and a useful supplementary course text.

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Verlag
American Mathematical Society
Erscheinungsdatum
2001
Sprache
Englisch
ISBN 10 
0821828193
ISBN 13 
9780821828199
Einband
Taschenbuch
Anzahl der Seiten
145
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
preigu
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