作者:
Philippe G. Ciarlet
出版社: SIAM-Society for Industrial and Applied Mathematics
出版年: 2013-8-9
页数: 846
定价: USD 101.00
装帧: Hardcover
丛书: Other Titles in Applied Mathematics
ISBN: 9781611972580
出版社: SIAM-Society for Industrial and Applied Mathematics
出版年: 2013-8-9
页数: 846
定价: USD 101.00
装帧: Hardcover
丛书: Other Titles in Applied Mathematics
ISBN: 9781611972580
内容简介 · · · · · ·
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...
作者简介 · · · · · ·
Book Description
A thorough and self-contained introduction to linear and nonlinear functional analysis, with applications to numerical analysis, optimisation, and partial differential equations. The book presents a vast amount of foundational material, suitable for advanced undergraduates, along with historical notes, illustrations, and over 400 problems to help the reader exp...
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;
· · · · · · (更多)
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;
· · · · · · (更多)
丛书信息
· · · · · ·
Other Titles in Applied Mathematics(共159册)，
这套丛书还有
《The Defocusing Nonlinear Schrödinger Equation》《Iterative Methods for Linear Systems》《Primal-Dual Interior-Point Methods》《Metabolic Networks, Elementary Flux Modes, and Polyhedral Cones》《MATLAB Guide, Third Edition》
等
。
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订阅关于Linear and Nonlinear Functional Analysis with Applications的评论:
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2 有用 Demon Hunter 2021-03-28 17:10:33
断断续续读了两年，只读了线性泛函，变分法和不动点理论处理pde的部分。书写的很有条理，例子丰富，习题质量非常高。
1 有用 Hanser想学数学 2023-12-19 10:21:19 辽宁
例子颇多，证明也相当详细，是一本很好的参考资料
1 有用 节外生枝 2021-12-01 09:01:46
读了线性的部分，要是第一章度量空间那儿再详尽点就好了
3 有用 Lydia Lu 2017-10-17 17:19:23
泛函分析入门