《第4屆華人數學家大會文集(第3卷)(英文版)》由微知著，以朴制繁，眾理如一，籌學之德也。然而數非一相，文非一體。或得之於心，或求之於物，或心物並馳。能者雖眾，鮮能兼善。精而後博，數論之質也。朴而後堅，代數之骨也。分析如盤，眾妙之門。幾何純厚，籌學之源。探天地之麗，究造物之形。計算巧微，百工以動。機率隨機，統計是用。大千精妙，盡在斯乎。大道行而自然兮，術同源而分流。登高崗而周覽兮，望江水之揚波。惟天地之無窮兮，何真理之有常。道沒世而不朽兮，懼乎時之不留。士攜手而並進兮，國欣欣以向榮。
基本介紹
- 書名：第4屆華人數學家大會文集
- 作者：季理真 等
- 出版日期：2011年1月1日
- 語種：英語
- ISBN：9787040314861
- 外文名：Proceedings of The 4th International Con
- 出版社：高等教育出版社
- 頁數：334頁
- 開本：16
- 品牌：高等教育出版社
圖書目錄,文摘,
圖書目錄
Address of the Congress PresidentPast Congresses of ICCM
Past Morningside Medalists, Chern Prize Winners and ICCM International Cooperation Award Winner
Medal and Awards of ICCM and the Background
The Committees of the Congress
List of Sponsors, Donors and Contributors
Morningside Medal of Mathematics Selection Committee
Morningside Medalists, Chern Prize Winners and ICCM International Cooperation Award Winner
Part I The Work of the Morningside Medalists
The Work of Xu-Jia Wang Fanghua Lin
The Work of Jianqing Fan Zhiliang Yin9
The Work of Chiu-Chu Liu Kefeng Liu
The Work of Lizhen Ji Gopal Prasad
The Work of Shi Jin Stanley Osher
The Work of Chiun-Chuan Chen Chang-Shou Lin
The Work of Ye Tian John Coates
Theory and Implementation of Efficient Importance Sampling for Monte Carlo Computation of Probabilities of Rare Events
H. P. Chan and T. L. Lai
1 Introduction
2 Large deviations and importance sampling
3 Mixtures of exponentially twisted measures and asymptotically
optimal importance sampling measures
4 Sequential Importance Sampling with Resampling （SISR）
References.
Fast Algorithms for Total Variation-Based Image Processing
T. F. Chan and M. Zhu
1 Introduction
2 Primal and dual formulation
3 Numerical methods
4 Remarks and conclusions
5 Acknowledgements
References.
Sharp Isoperimetric Inequality for Minimal Surfaces in R Jaigyoung Choe and Richard Schoen
1 Introduction
2 Minimal surfaces
References
Positive Quaternionic K~ihler Manifolds with Symmetry Fuquan Fang
1 Introduction
2 A connectedness theorem
3 Hyperk~hler quotient and quaternionic Kahler quotient
4 Symmetry rank
References
Linear Waves in the Kerr Geometry: Long-Time Dynamics,Superradiance, and the Stability of Black Holes
Felix Finster.
1 General relativity and black holes
2 Linear wave equations in the Kerr geometry and their separation..
3 Dynamics of Dirac waves
4 An integral representation and decay for scalar waves
5 A rigorous treatment of superradiance for scalar waves
6 The stability problem for Kerr black holes
……
Past Morningside Medalists, Chern Prize Winners and ICCM International Cooperation Award Winner
Medal and Awards of ICCM and the Background
The Committees of the Congress
List of Sponsors, Donors and Contributors
Morningside Medal of Mathematics Selection Committee
Morningside Medalists, Chern Prize Winners and ICCM International Cooperation Award Winner
Part I The Work of the Morningside Medalists
The Work of Xu-Jia Wang Fanghua Lin
The Work of Jianqing Fan Zhiliang Yin9
The Work of Chiu-Chu Liu Kefeng Liu
The Work of Lizhen Ji Gopal Prasad
The Work of Shi Jin Stanley Osher
The Work of Chiun-Chuan Chen Chang-Shou Lin
The Work of Ye Tian John Coates
Theory and Implementation of Efficient Importance Sampling for Monte Carlo Computation of Probabilities of Rare Events
H. P. Chan and T. L. Lai
1 Introduction
2 Large deviations and importance sampling
3 Mixtures of exponentially twisted measures and asymptotically
optimal importance sampling measures
4 Sequential Importance Sampling with Resampling （SISR）
References.
Fast Algorithms for Total Variation-Based Image Processing
T. F. Chan and M. Zhu
1 Introduction
2 Primal and dual formulation
3 Numerical methods
4 Remarks and conclusions
5 Acknowledgements
References.
Sharp Isoperimetric Inequality for Minimal Surfaces in R Jaigyoung Choe and Richard Schoen
1 Introduction
2 Minimal surfaces
References
Positive Quaternionic K~ihler Manifolds with Symmetry Fuquan Fang
1 Introduction
2 A connectedness theorem
3 Hyperk~hler quotient and quaternionic Kahler quotient
4 Symmetry rank
References
Linear Waves in the Kerr Geometry: Long-Time Dynamics,Superradiance, and the Stability of Black Holes
Felix Finster.
1 General relativity and black holes
2 Linear wave equations in the Kerr geometry and their separation..
3 Dynamics of Dirac waves
4 An integral representation and decay for scalar waves
5 A rigorous treatment of superradiance for scalar waves
6 The stability problem for Kerr black holes
……
文摘
Medal and Awards of ICCM and
the Background
At each International Congress of Chinese Mathematicians （ICCM）, the win-ners of several prestigious awards are announced at the opening ceremony. These awards include the Morningside Medal of Mathematics, the Chern Prize in Math-ematics, and the ICCM International Cooperation Award. At ICCM 2007, two new prizes were introduced: the New World Mathematics Awards and the TaikangMathematics Awards.
Morningside Medal of Mathematics
The Morningside Medal of Mathematics is awarded to exceptional mathemati-cians of Chinese descent under the age of forty-five for their seminal achievements in mathematics and applied mathematics. The winners of the Morningside Medalof Mathematics are traditionally announced at the opening ceremony of the tri-ennial International Congress of Chinese Mathematicians. The inaugural medalswere presented in 1998. Each Morningside Medalist receives a certificate, a medal,and cash award of USD 25,000 for a gold medal or USD 10,000 for a silver medal.
Chern Prize in Mathematics
The Chern Prize in Mathematics was established in 2001 in honor of ProfessorShiing-Shen Chern, one of the greatest geometers and Chinese mathematicians of the twentieth century. The Chern Prize is presented every three years at theInternational Congress of Chinese Mathematicians to mathematicians of Chinese descent who have made exceptional contributions to mathematical research or topublic service activities in support of mathematics.
the Background
At each International Congress of Chinese Mathematicians （ICCM）, the win-ners of several prestigious awards are announced at the opening ceremony. These awards include the Morningside Medal of Mathematics, the Chern Prize in Math-ematics, and the ICCM International Cooperation Award. At ICCM 2007, two new prizes were introduced: the New World Mathematics Awards and the TaikangMathematics Awards.
Morningside Medal of Mathematics
The Morningside Medal of Mathematics is awarded to exceptional mathemati-cians of Chinese descent under the age of forty-five for their seminal achievements in mathematics and applied mathematics. The winners of the Morningside Medalof Mathematics are traditionally announced at the opening ceremony of the tri-ennial International Congress of Chinese Mathematicians. The inaugural medalswere presented in 1998. Each Morningside Medalist receives a certificate, a medal,and cash award of USD 25,000 for a gold medal or USD 10,000 for a silver medal.
Chern Prize in Mathematics
The Chern Prize in Mathematics was established in 2001 in honor of ProfessorShiing-Shen Chern, one of the greatest geometers and Chinese mathematicians of the twentieth century. The Chern Prize is presented every three years at theInternational Congress of Chinese Mathematicians to mathematicians of Chinese descent who have made exceptional contributions to mathematical research or topublic service activities in support of mathematics.
