Topics in Nonlinear Functional Analysis (Paperback)

Language: English

Published by American Mathematical Society, Providence, 2001

0821828193 / 9780821828199

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Paperback. 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 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. For more than 20 years, this book continues to be an excellent graduate level textbook and a useful supplementary course text. Titles in this series are copublished with the Courant Institute of Mathematical Sciences at New York University. An introduction to various subjects in nonlinear functional analysis. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

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Title
Topics in Nonlinear Functional Analysis (Paperback)
Author
Louis Nirenberg
Publisher
American Mathematical Society, Providence
Publication year
2001
Condition
new
Binding
Paperback
Language
English
ISBN 10
0821828193
ISBN 13
9780821828199

Grand Eagle Retail

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