凸分析（英文版） [Convex Analysis] 下載 mobi epub pdf 電子書 2025

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內容簡介

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.

內頁插圖

目錄

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] 下載 mobi epub pdf txt 電子書 格式

評分☆☆☆☆☆

管理學科的必讀書，考上博士用

評分☆☆☆☆☆

還不錯的東東還可以還可以

評分☆☆☆☆☆

評分☆☆☆☆☆

　　分析是一種科學的思維活動，這種分析活動當然是在感性認識所獲得的大量經驗材料的基礎上進行的，但是，思維的分析活動並不是指感覺的分析活動。人的各種感覺器官都是一種分析器，每一種感覺器官都隻能接受某一種特定的信號(刺激)。自然界的各種事物的特性如顔色、氣味、聲響等都是密切聯係在一起而呈現在人們麵前。人的感官將它們分析之後形成不同的感覺。科學思維的分析活動與感官分析器這種感性的分析活動是不同的，它是一種理性的認識活動。

評分☆☆☆☆☆

很好的書 值得細讀 必有收獲

評分☆☆☆☆☆

這個版本的書非常不錯，便宜也夠清晰

評分☆☆☆☆☆

書好像是很早的瞭，也很經典，不過最近纔見到齣版，學習一下。

評分☆☆☆☆☆

好。。。。。。。。。

評分☆☆☆☆☆

可以的，非常實惠，而且有券送，下次還來。

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