丘成桐综述文章选集 : 附评论

丘成桐综述文章选集 : 附评论

丘成桐, 著

出版社:高等教育出版社

年代:2014

定价:138.0

书籍简介:

几何分析是近几十年来非常重要的学科,比如庞加莱猜想的解决实际上利用了几何分析的思想。丘成桐教授是现代几何分析的奠基人之一及积极的参与者。在伟大的数学家当中,很少有像丘成桐教授那样花费很多时间去撰写大量的综述类文章。本书收集了丘成桐教授所有的综述类文章及丘先生总结的微分几何未解决问题的论述。更重要的是,丘先生对每篇文章都在当今意义下作出了评论并指出该论题的最新进展,对未解决问题也作了系统的分析及这些问题的最新总结。 同时本书特邀请了多位相关领域专家对丘先生工作及相应领域最新结果作出了评论。可以说本书就是近代几何分析发展的缩影,每一个对几何分析感兴趣的学生和专家都可以从中获益。

作者介绍:

丘成桐,是当代最伟大的数学大师之一,著名科学家,哈佛大学数学系系主任、讲座教授,清华大学数学科学中心主任。丘先生1949年生于广东,22岁获博士学位。他获得了菲尔兹奖、沃尔夫奖、克莱福特奖、美国国家科学奖等国际顶级大奖,是美、俄、中、意四国科学院院士。他解决了“卡拉比猜想”、广义相对论中的“正质量猜想”、超弦理论中的“镜对称猜想”等众多世界难题。他是几何分析学科奠基人,他领导的团队为解决“庞加莱猜想”作出了重要贡献。他在中国大陆、香港、台湾创办了五大数学研究机构,领导举办了世界华人数学家大会,创办了丘成桐中学数学奖、丘成桐数学英才班、丘成桐大学生数学竞赛、新世界数学奖、晨兴数学奖,在国内出版了《微分几何》、《调和映照讲义》等专著,创办了《数学与人文》、《数学与数学人》科普丛书,为中国的人才培养、科学研究、学术交流以及中国数学界与海外科研学术合作作出了巨大贡献,荣获国务院颁发的中华人民共和国国际科技合作奖。

书籍目录:

Preface

Shing-Tung Yau

Shing-Tung Yau, His Mathematics and Writings

Lizhen Ji

Commentary on

Metriques de Kahler-Einstein Sur les Varietes Ouvertes

Metriques de Kahler-Einstein Sur les Varietes Ouvertes

Shing-Tung Yau

Commentary on

The Classical Plateau Problem and the Topology of 3-manifolds

The Classical Plateau Problem and the Topology of 3-manifolds

William H. Meeks III, Shing-Tung Yau

Commentary on

Geometric Bounds on the Low Eigenvalues of a Compact Surface

Geometric Bounds on the Low Eigenvalues of a Compact Surface

R. Schoen, S. Wolpert, and S. T. Yau

Commentary on

Estimates of Eigenvalues of a Compact Riemannian Manifold

Estimates of Eigenvalues of a Compact Riemannian Manifold

Peter Li and Shing-Tung Yau

Commentary on

The Total Mass and the Topology of an Asymptotically Flat Space-time

The Total Mass and the Topology of an Asymptotically Flat Space-time

Shing-Tung Yau

Commentary on

The Role of Partial Differential Equations in Differential Geometry

The Role of Partial Differential Equations in Differential Geometry

Shing-Tung Yau

Commentary on

The Real Monge-Ampere Equation and Affine Flat Structures

The Real Monge-Ampere Equation and Affine Flat Structures

Shiu- Yuen Cheng and Shing-Tung Yau

Commentary on

Survey on Partial Differential Equations in Differential Geometry

Survey on Partial Differential Equations in Differential Geometry

Shing-Tung Yau

Commentary on

Problem Section

Problem Section (With Commentary)

Shing-Tung Yau

Commentary on

A Survey on Kahler-Einstein Metrics

A Survey on Kahler-Einstein Metrics

Shing-Tung Yau

Commentary on

Compact Three Dimensional Kahler Manifolds with Zero

Ricci Curvature

Compact Three Dimensional Kahler Manifolds with Zero

Ricci Curvature

Shing-Tung Yau

Commentary on

Inequality Between Chern Numbers of Singular Kahler Surfaces

and Characterization of Orbit Space of Discrete Group of SU(2, 1)

Inequality Between Chern Numbers of Singular Kahler Surfaces

and Characterization of Orbit Space of Discrete Group of SU(2, 1)

Shiu- Yuen Cheng and Shing-Tung Yau

Commentary on

On Ricci Flat 3-fold

On Ricci Flat 3-fold

Shi-Shyr Roan and Shing-Tung Yau

Commentary on

Some Recent Developments in General Relativity

Some Recent Developments in General Relativity

Shing-Tung Yau

Commentary on

Nonlinear Analysis in Geometry

Nonlinear Analysis in Geometry

Shing-Tung Yau

Commentary on

Three-Dimensional Algebraic Manifolds with C1 = O and X = -6

Three-Dimensional Algebraic Manifolds with C1 = O and X = -6

Gang Tian and Shing-Tung Yau

Commentary on

Uniformization of Geometric Structures

Uniformization of Geometric Structures

Shing-Tung Yau

Commentary on

Some Remarks on the Quasi-local Mass

Some Remarks on the Quasi-local Mass

D. Christodoulou and S.-T. Yau

Commentary on

A Review of Complex Differential Geometry

A Review of Complex Differential Geometry

Shing-Tung Yau

Commentary on

Open Problems in Geometry

Open Problems in Geometry

Shing-Tung Yau

Commentary on

On the Geometry of Certain Superconformal Field Theory

Paradigms (Towards a Quantum Algebraic Geometry)

On the Geometry of Certain Superconformal Field Theory

Paradigms (Towards a Quantum Algebraic Geometry)

Tristan Hiibsch and Shing-Tung Yau

Commentary on

Upper Bound for the First Eigenvalue of Algebraic Submanifolds

Upper Bound for the First Eigenvalue of Algebraic Submanifolds

Jean-Pierre Bourguignon, Peter Li, and Shing-Tung Yau

Commentary on

Review on Kahler-Einstein Metrics in Algebraic Geometry

Review on Kahler-Einstein Metrics in Algebraic Geometry

Shing-Tung Yau

Commentary on

A Note on The Distribution of Critical Points of Eigenfunctions

A Note on The Distribution of Critical Points of Eigenfunctions

Shing-Tung Yau

Commentary on

Sobolev Inequality for Measure Space

Sobolev Inequality for Measure Space

Shing-Tung Yau

Commentary on

Einstein Manifolds with Zero Ricci Curvature

Einstein Manifolds with Zero Ricci Curvature

Shing-Tung Yau

Commentary on

Review of Geometry and Analysis

Review of Geometry and Analysis

Shing-Tung Yau

Commentary on

Geometry and Spacetime

Geometry and Spacetime

Shing-Tung Yau

Commentary on

Geometry Motivated by Physics

Geometry Motivated by Physics

Shing-Tung Yau

Commentary on

Complex Geometry: Its Brief History and Its Future

Complex Geometry: Its Brief History and Its Future

Shing-Tung Yau

Commentary on

Geometric Aspects of the Moduli Space of Riemann Surfaces

Geometric Aspects of the Moduli Space of Riemann Surfaces

Kefeng Liu, Xiaofeng Sun, and Shing-Tung Yau

Commentary on

Solution of Filtering Problem with Nonlinear Observations

Solution of Filtering Problem with Nonlinear Observations

Stephen S.-T. Yau and Shing-Tung Yau

Commentary on

The Proof of the Poincare Conjecture

The Proof of the Poincare Conjecture

Shing-Tung Yau

内容摘要:

几何分析是近几十年来非常重要的学科,比如拓扑中的著名庞加莱猜想的解决实际上利用了几何分析的思想和方法。丘成桐教授是现代几何分析的奠基人之一,也是积极的参与者。在伟大的数学家当中,很少有像丘先生那样花费很多时间去撰写大量的综述文章。
  《丘成桐综述文章选集(附评论第1、2卷)》收集了丘成桐教授2013年前所有的综述文章及丘先生总结的微分几何未解决问题的论述。更重要的是,丘先生对每篇文章都在当今意义下作出了评论并指出该论题的最新进展,对未解决问题也作了系统的分析及这些问题的最新总结。《丘成桐综述文章选集(附评论 第1卷)》主编还特邀请了多位相关领域专家对丘先生工作及相关领域最新结果作出了评论。可以说这两卷著作就是近代几何分析发展的缩影,每一位对几何分析感兴趣的学生和专家都可以从中获益。
  《丘成桐综述文章选集(附评论 第1卷)》是其中的第Ⅰ卷。

书籍规格:

书籍详细信息
书名丘成桐综述文章选集 : 附评论站内查询相似图书
9787040404234
如需购买下载《丘成桐综述文章选集 : 附评论》pdf扫描版电子书或查询更多相关信息,请直接复制isbn,搜索即可全网搜索该ISBN
出版地北京出版单位高等教育出版社
版次1版印次1
定价(元)138.0语种英文
尺寸24 × 17装帧精装
页数印数 1500

书籍信息归属:

丘成桐综述文章选集 : 附评论是高等教育出版社于2014.7出版的中图分类号为 O18-53 的主题关于 几何-数学分析-文集-英文 的书籍。