简体网页||繁体网页

☆☆☆☆☆

[德] 洛克菲拉 著

想要找书就要到 静流书站

立刻按 ctrl+D收藏本页

你会得到大惊喜!!

出版社： 世界图书出版公司

ISBN：9787510029608

版次：1

商品编码：10562623

包装：平装

外文名称：Convex Analysis

开本：24开

出版时间：2011-01-01

用纸：胶版纸

页数：451

正文语种：英文

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

评分☆☆☆☆☆

很好，正装

评分☆☆☆☆☆

好。。。。。。。。。

评分☆☆☆☆☆

既然本書价格不低，出版社应该改多用点心思吧！裝訂和印刷相比我同单购买的《凸優化理論》差远了！

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☆☆☆☆☆

有些页面印刷不是很清楚，凑合看吧

评分☆☆☆☆☆

每次评价都要写十个字

评分☆☆☆☆☆

经典之作，名著，很好，必须拥有

评分☆☆☆☆☆

要做非线性泛函分析，搞优化理论研究什么的，必读的经典著作。这次北京开会看见Rockafella老爷子本人了，身体还是挺硬朗的。不过国内影印版质量不咋样，还卖的死贵。读了那么多年了，买本实体书也算是了却一桩心愿。

评分☆☆☆☆☆

书很好，慢慢看，我只是为了点豆豆，还没看