凸分析基础
2004-4
世界图书出版公司
Jean-Baptiste
259
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This book is an abridged version of our two-volume opus Convex Analysis and Minimization Algorithms [18], about which we have received very positive feedback from users, readers, lecturers ever since it was published-by Springer-Verlag in 1993. Its pedagogical qualities were particularly appreciated, in the combination with a rather advanced technical material.
Preface O. Introduction: Notation， Elementary Results 1 Some Facts About Lower and Upper Bounds 2 The Set of Extended Real Numbers 3 Linear and Bilinear Algebra 4 Differentiation in a Euclidean Space 5 Set-Valued Analysis 6 Recalls on Convex Functions of the Real Variable Exercises A. Convex Sets 1 Generalities 2 Convex Sets Attached to a Convex Set 3 Projection onto Closed Convex Sets 4 Separation and Applications 5 Conical Approximations of Convex Sets Exercises B. Convex Functions 1 Basic Definitions and Examples 2 Functional Operations Preserving Convexity 3 Local and Global Behaviour of a Convex Function 4 First-and Second-Order DifferentiationPreface O. Introduction: Notation， Elementary Results 1 Some Facts About Lower and Upper Bounds 2 The Set of Extended Real Numbers 3 Linear and Bilinear Algebra 4 Differentiation in a Euclidean Space 5 Set-Valued Analysis 6 Recalls on Convex Functions of the Real Variable Exercises A. Convex Sets 1 Generalities 2 Convex Sets Attached to a Convex Set 3 Projection onto Closed Convex Sets 4 Separation and Applications 5 Conical Approximations of Convex Sets Exercises C. Sublinearity and Support Functions 1 Sublinear Functions 2 The Support Function of a Nonempty Set 3 Correspondence Between Convex Sets and Sublinear Functions ExercisesD. Subdifferentials of Finite Convex Functions 1 The Subdifferential:Definitions and Interpretations 2 Local Properties of the Subdiffrential 3 First Examples 4 Calculus Rules with Subdifferentials 5 Further Examples 6 The Subdifferential as a Multifunction ExercisesE. Conjugacy in Convex Analysis 1 The Convex Conjugate of a Function 2 Calculus Rules on the Conjugacy Operation 3 Various Examples 4 Differentiability of a Conjugate Function ExercisesBibliographical CommentsThe Founding Fathers of the DisciplineReferencesIndex
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对于凸分析的学者，必不可少，相对国内的书籍，挺好的一本书
凸分析,很好的书，值得学习
书的质量还不错，内容待评价
买来收藏,不错的金融工程用书买来收藏,不错的金融工程用书买来收藏,不错的金融工程用书
顶级的原著教材，质量也很不错！！
专业要用 很好
很喜欢的书，真的不错，推荐购买。
还不错的一本入门书。对变分法的基础知识掌握不够的话，这本书是可以起到详细补充和深刻理解的作用
刚拿到书，看看再说
这本书还是不错，直接看英文能了解的更直观些
内容不错，不过纸质量不太满意
书的内容是没有问题的，袁亚湘院士上凸分析课的教材，问题在于当当给我的书显得很旧，书角有很多褶皱，纸张也不好，字体太小，看起来不舒服