凸分析（英文版） [Convex Analysis] epub pdf mobi txt 电子书 下载 2025

凸分析（英文版） [Convex Analysis] epub pdf mobi txt 电子书 下载 2025

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凸分析（英文版） [Convex Analysis] epub pdf mobi txt 电子书 下载 2025

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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 2025

凸分析（英文版） [Convex Analysis] 下载 epub mobi pdf txt 电子书 2025

评分☆☆☆☆☆

看见这个名字就想买，暂时还没有研读，不知道是讲什么的~~

评分☆☆☆☆☆

挺好，还没看，质量还可以

评分☆☆☆☆☆

凸分析是国外本科生的必修课，但在国内绝大部分高校都没有开设，这是运筹学的基础，如果和这方面有关的读者，可以一读

评分☆☆☆☆☆

看见这个名字就想买，暂时还没有研读，不知道是讲什么的~~

评分☆☆☆☆☆

经典的一本书籍 很经典值得拥有经典的一本书籍 很经典值得拥有

评分☆☆☆☆☆

还不错的东东还可以还可以

评分☆☆☆☆☆

英文版，不错的书

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☆☆☆☆☆

世图版两种凸分析之一,研究的是凸分析与最优化理论

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