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

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[德] 洛克菲拉 著

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.

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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☆☆☆☆☆

这个版本的书非常不错，便宜也够清晰

评分☆☆☆☆☆

苟利国家生死以，岂因祸福避趋之。

评分☆☆☆☆☆

好书,经典,应该不错

评分☆☆☆☆☆

正文的紙張和印刷實在不敢恭維！

评分☆☆☆☆☆

最近京东搞活动买的，比其它网站便宜一点，有些书在我所在的这个地区就没货 所以发货就晚了。但是书真的不错 只要发货就很快就到，应该是正品，快递很快哦 继续努力，书直接给我送到楼下，这样的服务态度真的值得其他的快递员学习，东京快递真的不错。上周周六，闲来无事，上午上了一个上午网，想起好久没买书了，一段时间不逛书店就周身不爽，于是上京东挑选了一大批书。

评分☆☆☆☆☆

最近京东搞活动买的，比其它网站便宜一点，有些书在我所在的这个地区就没货 所以发货就晚了。但是书真的不错 只要发货就很快就到，应该是正品，快递很快哦 继续努力，书直接给我送到楼下，这样的服务态度真的值得其他的快递员学习，东京快递真的不错。上周周六，闲来无事，上午上了一个上午网，想起好久没买书了，一段时间不逛书店就周身不爽，于是上京东挑选了一大批书。

评分☆☆☆☆☆

经典书籍，值得好好研读

评分☆☆☆☆☆

凸分析的书。从中我们可以大致了解到一些凸优化的概念，比如凸集，凸函数，凸优化问题，线性规划，二次规划，二次约束二次规划，半正定规划等，从而对凸优化问题有个初步的认识。

评分☆☆☆☆☆

哇咔咔 optimization领域的bible啊 国外要70刀呢！