店铺： 世纪恒悦图书专营店
出版社： 世界图书出版公司
ISBN：9787510029608
商品编码：27859245706
丛书名： 凸分析
开本：24开
出版时间：2011-01-01
具体描述
| 产品展示 | 悦悦图书 ● yueyuebook |悦淘好书·读乐众乐 |
| 基本信息 | 悦悦图书 ● yueyuebook |悦淘好书·读乐众乐 |
| 商品名称： | 凸分析 |
| 作 者： | 作者:（德）洛克菲拉 著 |
| 定 价： | 59.00 |
| 重 量： | |
| ISBN 号： | 9787510029608 |
| 出 版 社： | 北京世图 |
| 开 本： | 24 |
| 页 数： | 451 |
| 字 数： | |
| 装 帧： | 平装 |
| 出版时间/版次： | 2011-1-1 |
| 印刷时间/印次： | 2011-1-1 |
| 编辑推荐 | 悦悦图书 ● yueyuebook |悦淘好书·读乐众乐 |
| 内容介绍 | 悦悦图书 ● yueyuebook |悦淘好书·读乐众乐 |
| 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. |
| 作者介绍 | 悦悦图书 ● yueyuebook |悦淘好书·读乐众乐 |
| 目录 | 悦悦图书 ● yueyuebook |悦淘好书·读乐众乐 |
| 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 |
| 在线试读部分章节 | 悦悦图书 ● yueyuebook |悦淘好书·读乐众乐 |
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