扫一扫
关注中图网
官方微博
本类五星书更多>
-
>
宇宙、量子和人类心灵
-
>
(精)BBC地球故事系列-星际旅行
-
>
从一到无穷大
-
>
图说相对论(32开平装)
-
>
一本有趣又有料的化学书
-
>
刘薰宇的数学三书:原来数学可以这样学全3册
-
>
光学零件制造工艺学
最优输运-第1分册 版权信息
- ISBN：9787510077906
- 条形码：9787510077906 ; 978-7-5100-7790-6
- 装帧：一般胶版纸
- 册数：暂无
- 重量：暂无
- 所属分类：>>
最优输运-第1分册 本书特色
维拉尼所著《*优输运（第1分册）（英文版）》是全面讲述*优输运——无论新老问题的专著。本书讲学严谨，基于大量的文献扩充改变而成，使得这本书成为一本相当有价值的宝典类书籍，证明完整自成体系，扩充了文献注解。适于*优输运方面的每个科研人员和研究生，博士及以上的人员不需要预备知识可以完全读懂该书。
最优输运-第1分册 内容简介
本书原版980页，是单卷本，为了便于读者阅读，影印版分为2卷。全面讲述*优输运——无论新老问题的专著。本书讲学严谨，基于大量的文献扩充改变而成，使得这本书成为一本相当有价值的宝典类书籍，证明完整自成体系，扩充了文献注解。适于*优输运方面的每个科研人员和研究生，博士及以上的人员不需要预备知识可以完全读懂该书。
最优输运-第1分册 目录
preface
conventions
introduction
1 couplings and changes of variables
2 three examples of coupling techniques
3 the founding fathers of optimal transport
part ⅰ qualitative description of optimal transport
4 basic properties
5 cyclical monotonicity and kantorovich duality
6 the wasserstein distances
7 displacement interpolation
8 the monge-mather shortening principle
9 solution of the monge problem i: global approach
10 solution of the monge problem ii: local approach
11 the jacobian equation
12 smoothness
13 qualitative picture
part ⅱ optimal transport and riemannian geometry
14 ricci curvature
15 otto calculus
16 displacement convexity i
17 displacement convexity ii
18 volume control
19 density control and local regularity
20 infinitesimal displacement convexity
21 isoperimetric-type inequalities
22 concentration inequalities
23 gradient flows i
24 gradient flows ii: qualitative properties
25 gradient flows iii: functional inequalities
part ⅲ synthetic treatment of ricci curvature
26 analytic and synthetic points of view
27 convergence of metric-measure spaces
28 stability of optimal transport
29 weak ricci curvature bounds i: definition and stability
30 weak ricci curvature bounds ii: geometric and analytic properties
conclusions and open problems
references
list of short statements
list of figures
index
some notable cost functions
conventions
introduction
1 couplings and changes of variables
2 three examples of coupling techniques
3 the founding fathers of optimal transport
part ⅰ qualitative description of optimal transport
4 basic properties
5 cyclical monotonicity and kantorovich duality
6 the wasserstein distances
7 displacement interpolation
8 the monge-mather shortening principle
9 solution of the monge problem i: global approach
10 solution of the monge problem ii: local approach
11 the jacobian equation
12 smoothness
13 qualitative picture
part ⅱ optimal transport and riemannian geometry
14 ricci curvature
15 otto calculus
16 displacement convexity i
17 displacement convexity ii
18 volume control
19 density control and local regularity
20 infinitesimal displacement convexity
21 isoperimetric-type inequalities
22 concentration inequalities
23 gradient flows i
24 gradient flows ii: qualitative properties
25 gradient flows iii: functional inequalities
part ⅲ synthetic treatment of ricci curvature
26 analytic and synthetic points of view
27 convergence of metric-measure spaces
28 stability of optimal transport
29 weak ricci curvature bounds i: definition and stability
30 weak ricci curvature bounds ii: geometric and analytic properties
conclusions and open problems
references
list of short statements
list of figures
index
some notable cost functions
展开全部
最优输运-第1分册 作者简介
Cédric Villani是国际知名学者，在数学和物理学界享有盛誉。本书凝聚了作者多年科研和教学成果，适用于科研工作者、高校教师和研究生。
书友推荐
- >
烟与镜
烟与镜
¥20.6¥48.0 - >
名家带你读鲁迅:故事新编
名家带你读鲁迅:故事新编
¥13.0¥26.0 - >
我从未如此眷恋人间
我从未如此眷恋人间
¥16.4¥49.8 - >
月亮虎
月亮虎
¥17.8¥48.0 - >
诗经-先民的歌唱
诗经-先民的歌唱
¥15.1¥39.8 - >
二体千字文
二体千字文
¥16.0¥40.0 - >
巴金－再思录
巴金－再思录
¥33.1¥46.0 - >
罗曼·罗兰读书随笔-精装
罗曼·罗兰读书随笔-精装
¥40.6¥58.0
本类畅销
-
数学的魅力;初等数学概念演绎
¥10.8¥22 -
2022图书×抽奖盲袋
¥9.9¥25 -
2023读书月阅读盲盒——天黑，闭眼，刀谁？
¥42.3¥158 -
-
2022读者节纪念徽章-三星会员专属
¥45¥45.6 -
2023读书月阅读盲盒——我什么场面没见过？
¥42.3¥158
