店鋪： 世紀恒悅圖書專營店
齣版社： 世界圖書齣版公司
ISBN：9787510029608
商品編碼：27859245706
叢書名： 凸分析
開本：24開
齣版時間：2011-01-01
具體描述
| 産品展示 | 悅悅圖書 ● yueyuebook |悅淘好書·讀樂眾樂 |
| 基本信息 | 悅悅圖書 ● yueyuebook |悅淘好書·讀樂眾樂 |
| 商品名稱： | 凸分析 |
| 作 者： | 作者:（德）洛剋菲拉 著 |
| 定 價： | 59.00 |
| 重 量： | |
| ISBN 號： | 9787510029608 |
| 齣 版 社： | 北京世圖 |
| 開 本： | 24 |
| 頁 數： | 451 |
| 字 數： | |
| 裝 幀： | 平裝 |
| 齣版時間/版次： | 2011-1-1 |
| 印刷時間/印次： | 2011-1-1 |
| 編輯推薦 | 悅悅圖書 ● yueyuebook |悅淘好書·讀樂眾樂 |
| 內容介紹 | 悅悅圖書 ● yueyuebook |悅淘好書·讀樂眾樂 |
| 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. |
| 作者介紹 | 悅悅圖書 ● yueyuebook |悅淘好書·讀樂眾樂 |
| 目錄 | 悅悅圖書 ● yueyuebook |悅淘好書·讀樂眾樂 |
| 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 |
| 在綫試讀部分章節 | 悅悅圖書 ● yueyuebook |悅淘好書·讀樂眾樂 |
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