丘成桐綜述文章選集: 附評(píng)論 (第 II 卷)
定 價(jià):138 元
- 作者:丘成桐 著
- 出版時(shí)間:2014/7/1
- ISBN:9787040404180
- 出 版 社:高等教育出版社
- 中圖法分類(lèi):O351.2;O175.22
- 頁(yè)碼:1354
- 紙張:膠版紙
- 版次:1
- 開(kāi)本:16開(kāi)
幾何分析是近幾十年來(lái)非常重要的學(xué)科,比如拓?fù)渲械闹嫾尤R猜想的解決實(shí)際上利用了幾何分析的思想和方法。丘成桐教授是現(xiàn)代幾何分析的奠基人之一,也是積極的參與者。在偉大的數(shù)學(xué)家當(dāng)中,很少有像丘先生那樣花費(fèi)很多時(shí)間去撰寫(xiě)大量的綜述文章。《丘成桐綜述文章選集(附評(píng)論第Ⅰ、Ⅱ卷)》收集了丘成桐教授2013年前所有的綜述文章及丘先生總結(jié)的微分幾何未解決問(wèn)題的論述。更重要的是,丘先生對(duì)每篇文章都在當(dāng)今意義下作出了評(píng)論并指出該論題的最新進(jìn)展,對(duì)未解決問(wèn)題也作了系統(tǒng)的分析及這些問(wèn)題的最新總結(jié)。本書(shū)主編還特邀請(qǐng)了多位相關(guān)領(lǐng)域?qū)<覍?duì)丘先生工作及相關(guān)領(lǐng)域最新結(jié)果作出了評(píng)論?梢哉f(shuō)這兩卷著作就是近代幾何分析發(fā)展的縮影,每一位對(duì)幾何分析感興趣的學(xué)生和專(zhuān)家都可以從中獲益。 本書(shū)是其中的第Ⅱ卷。
丘成桐先生是當(dāng)代最偉大的數(shù)學(xué)大師之一,著名科學(xué)家,哈佛大學(xué)數(shù)學(xué)系系主任、講座教授,清華大學(xué)數(shù)學(xué)科學(xué)中心主任。丘先生1949年生于廣東,22歲獲博士學(xué)位。他獲得了菲爾茲獎(jiǎng)、沃爾夫獎(jiǎng)、克萊福特獎(jiǎng)、美國(guó)國(guó)家科學(xué)獎(jiǎng)等國(guó)際頂級(jí)大獎(jiǎng),是美、俄、中、意四國(guó)科學(xué)院院士。他解決了“卡拉比猜想”、廣義相對(duì)論中的“正質(zhì)量猜想”、超弦理論中的“鏡對(duì)稱(chēng)猜想”等眾多世界難題。他是幾何分析學(xué)科奠基人,他領(lǐng)導(dǎo)的團(tuán)隊(duì)為解決“龐加萊猜想”作出了重要貢獻(xiàn)。他在中國(guó)大陸、香港、臺(tái)灣創(chuàng)辦了五大數(shù)學(xué)研究機(jī)構(gòu),領(lǐng)導(dǎo)舉辦了世界華人數(shù)學(xué)家大會(huì),創(chuàng)辦了丘成桐中學(xué)數(shù)學(xué)獎(jiǎng)、丘成桐數(shù)學(xué)英才班、丘成桐大學(xué)生數(shù)學(xué)競(jìng)賽、新世界數(shù)學(xué)獎(jiǎng)、晨興數(shù)學(xué)獎(jiǎng),在國(guó)內(nèi)出版了《微分幾何》、《調(diào)和映照講義》等專(zhuān)著,創(chuàng)辦了《數(shù)學(xué)與人文》、《數(shù)學(xué)與數(shù)學(xué)人》科普叢書(shū),為中國(guó)的人才培養(yǎng)、科學(xué)研究、學(xué)術(shù)交流以及中國(guó)數(shù)學(xué)界與海外科研學(xué)術(shù)合作作出了巨大貢獻(xiàn),榮獲國(guó)務(wù)院頒發(fā)的中華人民共和國(guó)國(guó)際科技合作獎(jiǎng)。
Volume II
Preface
Shing-Tung Yau
Shing-Tung Yau, His Mathematics and Writings
Lizhen Ji
Commentary on
Perspectives on Geometric Analysis
Perspectives on Geometric Analysis
Shing-Tung Yau
Commentary on
A Survey of Calabi-Yau Manifolds
A Survey of Calabi-Yau Manifolds
Shing-Tung Yau
Commentary on
Linear Waves in the Kerr Geometry: A Mathematical Voyage to Black Hole Physics Volume II
Preface
Shing-Tung Yau
Shing-Tung Yau, His Mathematics and Writings
Lizhen Ji
Commentary on
Perspectives on Geometric Analysis
Perspectives on Geometric Analysis
Shing-Tung Yau
Commentary on
A Survey of Calabi-Yau Manifolds
A Survey of Calabi-Yau Manifolds
Shing-Tung Yau
Commentary on
Linear Waves in the Kerr Geometry: A Mathematical Voyage to Black Hole Physics
Linear Waves in the Kerr Geometry: A Mathematical Voyage to
Black Hole Physics
Felix Finster, Niky Kamran, Joel Smoller, and Shing-Tung Yau
Commentary on
Recent Development on the Geometry of the Teichmiiller and Moduli Spaces of Riemann Surfaces
Recent Development on the Geometry of the Teichmiiller and Moduli Spaces of Riemann Surfaces
Kefeng Liu, Xiaofeng Sun, and Shing-Tung Yau
Commentary on
Deformation of Kahler-Einstein Metrics
Deformation of Kahler-Einstein Metrics
Xiaofeng Sun, Shing-Tung Yau
Commentary on
String Theory and the Geometry of the Universe's Hidden Dimensions
String Theory and the Geometry of the Universe's
Hidden Dimensions
Shing-Tung Yau and Steve Nadis
Commentary on
Shiing-Shen Chern
Shiing-Shen Chern (1911-2004)
Shing-Tung Yau
Commentary on
A Survey on Recent Development in Computational Quasi-conformal
Geometry and its Applications
A Survey on Recent Development in Computational Quasi-conformal
Geometry and its Applications
Lok Ming Lui, Tsz Wai Wong, Wei Zeng, Xiangfeng Gu,
Paul M. Thompson, Tony F. Chan, and Shing-Tung Yau
Commentary on
Recent Development of Computational Conformal Geometry
Recent Development of Computational Conformal Geometry
David Xianfeng Gu, Wei Zeng, Lok Ming Lui, Feng Luo, and Shing-Tung Yau
Commentary on
Mirror Symmetry and Localizations
Mirror Symmetry and Localizations
Shing-Tung Yau
Commentary on
Non-Kaihler Calabi-Yau Manifolds
Non-Kahler Calabi-Yau Manifolds
Li-Sheng Tseng, Shing-Tung Yau
Commentary by Others
The Strominger-Yau-Zaslow Conjecture and Its Impact
Kwokwai Chan
Commentary on
Shing-Tung Yau's Surveys
Simon Donaldson
Commentary on
Yau's Work on Non-Kahler Complex Geometry
Jixiang Fu
Martin Compactification of Nonpositively Curved Manifolds
Lizhen Ji
Commentary on
Shing-Tung Yau's Expository Works: Topological String Theory
Chiu-Chu Melissa Liu
Commentary on
Yau's Work on Minimal Surfaces and 3-manifolds
Feng Luo
Commentary on
Some Works of Shing-Tung Yau in Kahler Geometry
Ngaiming Mok
Commentary on
The Legacy of Shing-Tung Yau in Geometric Partial
Differential Equations
Duong H. Phong
Commentary on
Several Problems Proposed by Shing-Tung Yau
Bun Wong
Appendices
List of Publications by Shing-Tung Yau
Students of Shing-Tung Yau