凸分析（英文版） [Convex Analysis] epub pdf mobi txt 电子书 下载 2024

凸分析（英文版） [Convex Analysis] epub pdf mobi txt 电子书 下载 2024

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凸分析（英文版） [Convex Analysis] epub pdf mobi txt 电子书 下载 2024

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内容简介

convexity has been increasingly important in recent years in the study of extremum problems in many areas of applied mathematics. the purpose of this book is to provide an exposition of the theory of convex sets and functions in which applications to extremum problems play the central role.
systems of inequalities， the minimum or maximum of a convex function over a convex set， lagrange multipliers， and minimax theorems are among the topics treated， as well as basic results about the structure of convex sets and the continuity and differentiability of convex functions and saddle-functions. duality is emphasized throughout， particularly in the form of fenchers conjugacy correspondence for convex functions.

内页插图

目录

Preface .
Introductory Remarks： a Guide for the Reader
PART l： BASIC CONCEPTS
1. Affine Sets
2. Convex Sets and Cones
3. The Algebra of Convex Sets
4. Convex Functions
5. Functional Operations

PART II： TOPOLOGICAL PROPERTIES
6. Relative Interiors of Convex Sels
7. Closures of Convex Functions
8. Recession Cones and Unboundedness
9. Some CIosedness Criteria
10. Continuity of Convex Functions

PART Ⅲ： DUALITY CORRESPONDENCES
11. Separation Theorems
12. Conjugates of Convex Functions
13. Support Furctions
14. Polars of Convex Sets
15. Polars of Convex Functions
16.Dual Operations

PART IV： REPRESENTATION AND INEQUALITIES
17. Carath6odorys Theorem
18. Extreme Points and Faces of Convex Sets
19. Polyhedral Convex Sets and Functions
20. Some Applications of Polyhedral Convexity
21.Hellys Theorem and Systems of Inequalities
22. Linear Inequalities
CONTENTS

PART V： DIFFERENTIAL THEORY
23. Directional Derivatives and Subgradients
24. Differential Continuity and Monotonicity
25. Differentiability of Convex Functions
26. The Legendre Transformation

PART VI： CONSTRAINED EXTREMUM PROBLEMS
27. The Minimum of a Convex Function
28. Ordinary Convex Programs and Lagrange Multipliers
29. Bifunctions and Generalized Convex Programs
30. Adjoint Bifunctions and Dual Programs
31. Fenchels Duality Theorem
32. The Maximum of a Convex Function

PART VII： SADDLE-FUNCTIONS AND MINIMAX THEORY
33. Saddle-Functions
34. Closures and Equivalence Classes
35. Continuity and Differentiability of Saddle-functions
36. Minimax Problems
37. Conjugate Saddle-functions and Minimax Theorems
PART VIII： CONVEX ALGEBRA
38. The Algebra of Bifunctions
39. Convex Processes .
Comments and References
Bibliography
Index

前言/序言

凸分析（英文版） [Convex Analysis] epub pdf mobi txt 电子书 下载 2024

凸分析（英文版） [Convex Analysis] 下载 epub mobi pdf txt 电子书 2024

评分☆☆☆☆☆

大牛的作品！非常给力！就是排版稍差

评分☆☆☆☆☆

还不错，搞活动买的，价格合适

评分☆☆☆☆☆

哇咔咔 optimization领域的bible啊 国外要70刀呢！

评分☆☆☆☆☆

很经典的书，学习凸分析不错，不过要想更深入凸优化要学习一些更新的理论

评分☆☆☆☆☆

卖家态度很好，书也很好，好评！

评分☆☆☆☆☆

书好像是很早的了，也很经典，不过最近才见到出版，学习一下。

评分☆☆☆☆☆

还没开始看，但是慕名很久

评分☆☆☆☆☆

想说说书的裝訂和印刷問題。拿到的书最后几頁竟然有很多小孔，難道是被蟲蛀了？

评分☆☆☆☆☆

这个书可以说是“经典”了，因为一直是第一版，都出了好多年了吧？

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