凸分析

《凸分析》是2011年1月1日世界图书出版书公司出版的图书，作者是洛克菲拉。

• 书名 凸分析
• 别名 Convex Analysis
• 作者 洛克菲拉(R.Tyrrell Rockafellar)
• 出版社 世界图书出版公司
• 出版时间 2011年1月1日

内容简介

　　《凸分析(英文版)》内容简介:Convexity has been 团源照能王increasingly important in rece来自nt 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 appli360百科cations to ex否占矿研英别困盾意tremum problems play the centralrole. Syst接发脸略随渐异龙临奏王ems of inequalities, the minimum or maximum of a convex functionover a c老onvex set, Lagrange multipliers, and minimax theorems are among the topics treated, as well as basic resu固次朝改lts about the structure of convex sets and the continuity and differentiability of convex functions and saddle-func文tions. Dua季行跑牛某业史五调lity is emphasized throughout, particu牛半河季面雨造丝larly in the form of Fenchers conju货两简gacy correspondence for convex functions.

目录

　　剂护派海席负显牛Preface .

　　Int管校再速逐派金假哥似roductory 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 O或田perations

　　PART II: TOPOLOG李但导协否突论销态ICAL PROPER等案苦体末卷副超创TIES

　　6. Relative Interiors of Convex Sels

　　7. 代积每吧艺棉宗师鲁再包Closures of Convex Funct井义卷ions

　　8. R实态杀州胞烈陈脸德权带ecession Cones and Unboundedness

　　9. Some CIosedness Crit境太扩把写把通轴eria

　　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. Carath6odory's Theorem

　　18. Extreme Points and Faces of Convex Sets

　　19. Polyhedral Convex Sets and Functions

　　20. Some Applications of Polyhedral Convexity

　　21.Helly's 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. Fenchel's 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

• 让人头疼的数学教材ߏ�️ߌ�图书简介:本书的作者是洛克菲拉，是2011年1月由世界图书出版公司出版的图书。书中详细的介绍了凹凸性在应用数学许多领域的极值问题研究中越来越重要。 ߏ�️ߌ�不推荐理由:总的来说是不建议去阅读这本书的，原因有两个，其一是全文都是英文版的，对于国人而言是非 何愁娇
• 《凸分析》:专业ߌ�文字评价:全书基本是英语，是怀着好奇心看的，但着实有点看不明白。 ✍️个人感悟:全英文的图书，全书是实分析与复分析的书籍，感觉十分专业，是提供给专业人士阅读及交流使用的。整体页数也不少，书中大部分是文字，配图都很少，相当专业。 ߍ�图书风格:2011年出版的早 vicky19830826