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Geometric Nonlinear Functional Analysis

1998 Mathematics
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Release : 1998
Genre : Mathematics
Kind : eBook
Book Rating : 635/5 ( reviews)

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Book Synopsis Geometric Nonlinear Functional Analysis by : Yoav Benyamini

Download or read book Geometric Nonlinear Functional Analysis written by Yoav Benyamini. This book was released on 1998. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a systematic and unified study of geometric nonlinear functional analysis. This area has its classical roots in the beginning of the twentieth century and is now a very active research area, having close connections to geometric measure theory, probability, classical analysis, combinatorics, and Banach space theory. The main theme of the book is the study of uniformly continuous and Lipschitz functions between Banach spaces (e.g., differentiability, stability, approximation, existence of extensions, fixed points, etc.). This study leads naturally also to the classification of Banach spaces and of their important subsets (mainly spheres) in the uniform and Lipschitz categories. Many recent rather deep theorems and delicate examples are included with complete and detailed proofs. Challenging open problems are described and explained, and promising new research directions are indicated.

Geometric Nonlinear Functional Analysis

2000 Mathematics
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Release : 2000
Genre : Mathematics
Kind : eBook
Book Rating : 354/5 ( reviews)

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Book Synopsis Geometric Nonlinear Functional Analysis by : Yoav Benyamini

Download or read book Geometric Nonlinear Functional Analysis written by Yoav Benyamini. This book was released on 2000. Available in PDF, EPUB and Kindle. Book excerpt: A systematic study of geometric nonlinear functional analysis. The main theme is the study of uniformly continuous and Lipschitz functions between Banach spaces. This study leads to the classification of Banach spaces and of their important subsets in the uniform and Lipschitz categories.

Applied Nonlinear Functional Analysis

2024-07-01 Mathematics
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Release : 2024-07-01
Genre : Mathematics
Kind : eBook
Book Rating : 959/5 ( reviews)

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Book Synopsis Applied Nonlinear Functional Analysis by : Nikolaos S. Papageorgiou

Download or read book Applied Nonlinear Functional Analysis written by Nikolaos S. Papageorgiou. This book was released on 2024-07-01. Available in PDF, EPUB and Kindle. Book excerpt: The second edition covers the introduction to the main mathematical tools of nonlinear functional analysis, which are also used in the study of concrete problems in economics, engineering, and physics. The new edition includes some new topics on Banach spaces of functions and measures and nonlinear analysis.

Topics in Nonlinear Functional Analysis

1974 Mathematics
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Release : 1974
Genre : Mathematics
Kind : eBook
Book Rating : 464/5 ( reviews)

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Book Synopsis Topics in Nonlinear Functional Analysis by : L. Nirenberg

Download or read book Topics in Nonlinear Functional Analysis written by L. Nirenberg. This book was released on 1974. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Geometric Nonlinear Functional Analysis

1927 Mathematics
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Release : 1927
Genre : Mathematics
Kind : eBook
Book Rating : 351/5 ( reviews)

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Book Synopsis Geometric Nonlinear Functional Analysis by : Yoav Benyamini

Download or read book Geometric Nonlinear Functional Analysis written by Yoav Benyamini. This book was released on 1927. Available in PDF, EPUB and Kindle. Book excerpt:

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