凸分析(英文版) [Convex Analysis]

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

[德] 洛剋菲拉 著
想要找書就要到 靜流書站
立刻按 ctrl+D收藏本頁
你會得到大驚喜!!
齣版社: 世界圖書齣版公司
ISBN:9787510029608
版次:1
商品編碼:10562623
包裝:平裝
外文名稱:Convex Analysis
開本:24開
齣版時間:2011-01-01
用紙:膠版紙
頁數:451
正文語種:英文

具體描述

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



用戶評價

評分

印刷質量比盜版還差,省油墨錢嗎?

評分

本來就是衝著名著去買的

評分

管理學科的必讀書,考上博士用

評分

書的內容很不錯,在此不多說。

評分

經典的一本書籍 很經典值得擁有經典的一本書籍 很經典值得擁有

評分

好。。。。。。。。。

評分

Convexity has been increasingly important in recent years in the studyof extremum problems in many areas of applied mathematics. The purposeof this book is to provide an exposition of the theory of convex sets andfunctions in which applications to extremum problems play the centralrole. Systems of inequalities, the minimum or maximum of a convex functionover a convex set, Lagrange multipliers, and minimax theorems are amongthe topics treated, as well as basic results about the structure of convexsets and the continuity and differentiability of convex functions and saddle-functions. Duality is emphasized throughout, particularly in the form ofFenchers conjugacy correspondence for convex functions

評分

看見這個名字就想買,暫時還沒有研讀,不知道是講什麼的~~

評分

本來就是衝著名著去買的

本站所有內容均為互聯網搜尋引擎提供的公開搜索信息,本站不存儲任何數據與內容,任何內容與數據均與本站無關,如有需要請聯繫相關搜索引擎包括但不限於百度google,bing,sogou

© 2025 windowsfront.com All Rights Reserved. 靜流書站 版權所有