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简介
Linear and Nonlinear Functional Analysis with Applications 豆 0.0分
资源最后更新于 2020-10-22 15:45:29
作者：Philippe G. Ciarlet
出版社：SIAM-Society for Industrial and Applied Mathematics
出版日期：2013-01
ISBN：9781611972580
文件格式： pdf
标签： 数学 泛函分析 泛函 Mathematics 分析 数学-FunctionalAnalysis 马上要看1 PDE
简介· · · · · ·
This single-volume textbook covers the fundamentals of linear and nonlinear functional analysis, illustrating most of the basic theorems with numerous applications to linear and nonlinear partial differential equations and to selected topics from numerical analysis and optimization theory.
This book has pedagogical appeal because it features self-contained and complete proofs o...
目录
Contents: Preface;
Chapter 1: Real analysis and theory of functions: A quick review;
Chapter 2: Normed vector spaces;
Chapter 3: Banach spaces;
Chapter 4: Inner-product spaces and Hilbert spaces;
Chapter 5: The great theorems of linear functional analysis;
Chapter 6: Linear partial differential equations;
Chapter 7: Differential calculus in normed vector spaces;
Chapter 8: Differential geometry in Rn;
Chapter 9: The great theorems of nonlinear functional analysis;
Bibliographical notes;
Bibliography;
Main notations;
Index.
Chapter 1: Real analysis and theory of functions: A quick review;
Chapter 2: Normed vector spaces;
Chapter 3: Banach spaces;
Chapter 4: Inner-product spaces and Hilbert spaces;
Chapter 5: The great theorems of linear functional analysis;
Chapter 6: Linear partial differential equations;
Chapter 7: Differential calculus in normed vector spaces;
Chapter 8: Differential geometry in Rn;
Chapter 9: The great theorems of nonlinear functional analysis;
Bibliographical notes;
Bibliography;
Main notations;
Index.
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