Topics in Nonlinear Functional Analysis (Courant Lecture Notes)

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9780821828199: Topics in Nonlinear Functional Analysis (Courant Lecture Notes)
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Book by Louis Nirenberg

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extremely stimulating Zentralblatt fur Mathematik

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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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Louis Nirenberg
Publicado por American Mathematical Society, United States (2001)
ISBN 10: 0821828193 ISBN 13: 9780821828199
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Descripción American Mathematical Society, United States, 2001. Paperback. Condición: New. Language: English . Brand New Book. 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. Nº de ref. del artículo: AAN9780821828199

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Louis Nirenberg
Publicado por American Mathematical Society, United States (2001)
ISBN 10: 0821828193 ISBN 13: 9780821828199
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Descripción American Mathematical Society, United States, 2001. Paperback. Condición: New. Language: English . Brand New Book. 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. Nº de ref. del artículo: AAN9780821828199

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Descripción American Mathematical Society, 2001. PAP. Condición: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. del artículo: CE-9780821828199

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Descripción Amer Mathematical Society, 2001. Paperback. Condición: Brand New. 145 pages. 9.75x6.75x0.25 inches. In Stock. Nº de ref. del artículo: __0821828193

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