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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] 电子书 下载 mobi epub pdf txt

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(* ?? ?* )?*

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我为什么喜欢在京东买东西，因为今天买明天就可以送到。我为什么每个商品的评价都一样，因为在京东买的东西太多太多了，导致积累了很多未评价的订单，所以我统一用段话作为评价内容。京东购物这么久，有买到很好的产品，也有买到比较坑的产品，如果我用这段话来评价，说明这款产品没问题，至少85分以上，而比较垃圾的产品，我绝对不会偷懒到复制粘贴评价，我绝对会用心的差评，这样其他消费者在购买的时候会作为参考，会影响该商品销量，而商家也会因此改进商品质量。

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经典之作，名著，很好，必须拥有

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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

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经典书籍，值得收藏

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　　分析是一种科学的思维活动，这种分析活动当然是在感性认识所获得的大量经验材料的基础上进行的，但是，思维的分析活动并不是指感觉的分析活动。人的各种感觉器官都是一种分析器，每一种感觉器官都只能接受某一种特定的信号(刺激)。自然界的各种事物的特性如颜色、气味、声响等都是密切联系在一起而呈现在人们面前。人的感官将它们分析之后形成不同的感觉。科学思维的分析活动与感官分析器这种感性的分析活动是不同的，它是一种理性的认识活动。

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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。

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印刷质量比盗版还差，省油墨钱吗？

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