变分分析 [Variational Analysis]

变分分析 [Variational Analysis] 下载 mobi epub pdf 电子书 2024


简体网页||繁体网页
[美] 洛克菲勒(R.Tyrrell Rockafellar),[美] Roger J-B Wets 著



点击这里下载
    


想要找书就要到 图书大百科
立刻按 ctrl+D收藏本页
你会得到大惊喜!!

发表于2024-11-22

类似图书 点击查看全场最低价

图书介绍

出版社: 世界图书出版公司
ISBN:9787510061363
版次:1
商品编码:11323592
包装:平装
外文名称:Variational Analysis
开本:24开
出版时间:2013-10-01
用纸:胶版纸
页数:734
正文语种:英文


相关图书





图书描述

内容简介

  In this book we aim to present, in a unified framework, a broad spectrum of mathematical theory that has grown in connection with the study of problems of optimization, equilibrium, control, and stability of linear and nonlinear systems. The title Variational Analysis refiects this breadth.
  For a long time, variational problems have been identified mostly with the 'calculus of variations'. In that venerable subject, built around the minimization of integral functionals, constraints were relatively simple and much of the focus was on infinite-dimensional function spaces. A major theme was the exploration of variations around a point, within the bounds imposed by the constraints, in order to help characterize solutions and portray them in terms of 'variational principles'. Notions of perturbation, approximation and even generalized differentiability were extensively investigated, Variational theory progressed also to the study of so-called stationary points, critical points, and other indications of singularity that a point might have relative to its neighbors, especially in association with existence theorems for differential equations.

目录

Chapter 1. Max and Min
A. Penalties and Constraints
B. Epigraphs and Semicontinuity
C. Attainment of a Minimum
D. Continuity, Closure and Growth
E. Extended Arithmetic
F. Parametric Dependence
G. Moreau Envelopes
H. Epi-Addition and Epi-Multiplication
I*. Auxiliary Facts and Principles
Commentary

Chapter 2. Convexity
A. Convex Sets and Functions
B. Level Sets and Intersections
C. Derivative Tests
D. Convexity in Operations
E. Convex Hulls
F. Closures and Contimuty
G.* Separation
H* Relative Interiors
I* Piecewise Linear Functions
J* Other Examples
Commentary

Chapter 3. Cones and Cosmic Closure
A. Direction Points
B. Horizon Cones
C. Horizon Functions
D. Coercivity Properties
E* Cones and Orderings
F* Cosmic Convexity
G* Positive Hulls
Commentary

Chapter 4. Set Convergence
A. Inner and Outer Limits
B. Painleve-Kuratowski Convergence
C. Pompeiu-Hausdorff Distance
D. Cones and Convex Sets
E. Compactness Properties
F. Horizon Limits
G* Contimuty of Operations
H* Quantification of Convergence
I* Hyperspace Metrics
Commentary

Chapter 5. Set-Valued Mappings
A. Domains, Ranges and Inverses
B. Continuity and Semicontimuty
C. Local Boundedness
D. Total Continuity
E. Pointwise and Graphical Convergence
F. Equicontinuity of Sequences
G. Continuous and Uniform Convergence
H* Metric Descriptions of Convergence
I* Operations on Mappings
J* Generic Continuity and Selections
Commentary .

Chapter 6. Variational Geometry
A. Tangent Cones
B. Normal Cones and Clarke Regularity
C. Smooth Manifolds and Convex Sets
D. Optimality and Lagrange Multipliers
E. Proximal Normals and Polarity
F. Tangent-Normal Relations
G* Recession Properties
H* Irregularity and Convexification
I* Other Formulas
Commentary

Chapter 7. Epigraphical Limits
A. Pointwise Convergence
B. Epi-Convergence
C. Continuous and Uniform Convergence
D. Generalized Differentiability
E. Convergence in Minimization
F. Epi-Continuity of Function-Valued Mappings
G. Continuity of Operations
H* Total Epi-Convergence
I* Epi-Distances
J* Solution Estimates
Commentary

Chapter 8. Subderivatives and Subgradients
A. Subderivatives of Functions
B. Subgradients of Functions
C. Convexity and Optimality
D. Regular Subderivatives
E. Support Functions and Subdifferential Duality
F. Calmness
G. Graphical Differentiation of Mappings
H* Proto-Differentiability and Graphical Regularity
I* Proximal Subgradients
J* Other Results
Commentary

Chapter 9. Lipschitzian Properties
A. Single-Valued Mappings
B. Estimates of the Lipschitz Modulus
C. Subdifferential Characterizations
D. Derivative Mappings and Their Norms
E. Lipschitzian Concepts for Set-Valued Mappings
……

Chapter 10. Subdifferential Calculus
Chapter 11. Dualization
Chapter 12. Monotone Mappings
Chapter 13. Second-Order Theory
Chapter 14. Measurability

前言/序言



变分分析 [Variational Analysis] 下载 mobi epub pdf txt 电子书 格式

变分分析 [Variational Analysis] mobi 下载 pdf 下载 pub 下载 txt 电子书 下载 2024

变分分析 [Variational Analysis] 下载 mobi pdf epub txt 电子书 格式 2024

变分分析 [Variational Analysis] 下载 mobi epub pdf 电子书
想要找书就要到 图书大百科
立刻按 ctrl+D收藏本页
你会得到大惊喜!!

用户评价

评分

好书好书好书好书好书好书好书好书好书好书好书好书好书好书好书好书好书好书好书好书好书好书好书好书

评分

非常不错,已经多次购买了!

评分

好书,绝对的好书!印刷质量还行!值得买!

评分

好书!好书!

评分

变分分析的经典作品,强烈推荐相关专业学生学习使用!

评分

这是一本非常经典的教材,很是直接拥有,当成工具书也是很好的

评分

古希腊时,柏拉图学院的门口戳了快牌子“不懂几何的别进来”。柏老师意思很简单:我这儿是讲道理的地方,你丫要是妄想像中国人那样胡搅蛮缠,哪凉快哪呆着去!当然你非要把这块牌子理解成“华人与狗不得入内”,我也找不出反驳的理由,因为普遍地说中国人至今还没认同讲道理是构成文明的一个根本要素。柏老师这种对基本数学和逻辑知识的尊重的传统至今还保留在西方教育系统中。

评分

看了几页 内容很专业 不过版式上看是本老教材

评分

  二十多年前,我刚到美国读书时,有一个流行的迷思(myth),就是认为中国人的数学要好过美国人,中国的数学教育要好过美国的数学教育。到了美国后才发现远不是那么回事,在文学院里数学最好的学生是美国人,在工学院里数学最好的学生是美国人,在数学系里最好的学生也还是美国人,而不是中国留学生。当然,偶尔也有例外,比如,若把北大清华毕业的学生放到美国连体育运动员都不屑去的社区学院时。真有本事,同加州理工或麻省理工的美国孩子比。想想看为什么到目前为止还没有中国人(或者更放宽一点,在中国受过教育的人)得到过菲尔茨奖或任何其它数学大奖,这个问题也许不难回答。是的,有一个丘成桐(Shing-Tung Yau),还有一个陶哲轩(Terence Tao),但他们不是中国人,受的也不是中国教育。不敢想象他们若是在中国,会受到什么样的摧残。

类似图书 点击查看全场最低价

变分分析 [Variational Analysis] mobi epub pdf txt 电子书 格式下载 2024


分享链接








相关图书


本站所有内容均为互联网搜索引擎提供的公开搜索信息,本站不存储任何数据与内容,任何内容与数据均与本站无关,如有需要请联系相关搜索引擎包括但不限于百度google,bing,sogou

友情链接

© 2024 book.teaonline.club All Rights Reserved. 图书大百科 版权所有