凸分析（英文版） [Convex Analysis] epub pdf mobi txt 電子書 下載 2024

凸分析（英文版） [Convex Analysis] epub pdf mobi txt 電子書 下載 2024

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凸分析（英文版） [Convex Analysis] epub pdf mobi txt 電子書 下載 2024

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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] epub pdf mobi txt 電子書 下載 2024

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

評分☆☆☆☆☆

好書,經典,應該不錯

評分☆☆☆☆☆

還不錯，搞活動買的，價格閤適

評分☆☆☆☆☆

經典教材，慢慢看！

評分☆☆☆☆☆

大牛著作，純屬膜拜。

評分☆☆☆☆☆

正在學習ing

評分☆☆☆☆☆

英文原版，比翻譯過來的中文版要好的多，雖然看起來有難度，但是有助於研究！

評分☆☆☆☆☆

評分☆☆☆☆☆

京東快遞一如既往的讓人滿意，書也很不錯

評分☆☆☆☆☆

凸分析是國外本科生的必修課，但在國內絕大部分高校都沒有開設，這是運籌學的基礎，如果和這方麵有關的讀者，可以一讀

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