当代著名数学家丘成桐教授最近提议,在中国(包括中国大陆、香港和台湾)的高校开展大学生数学竞赛,以全面测试大学生的数学知识、修养与能力,促进中国的大学数学教育改革。丘先生领衔的学术与命题委员会将基础数学与应用数学凝练成分析与微分方程,几何与拓扑,代数、组合与数论,计算、统计与应用数学等四个方面,并将提供详细的大纲与参考书。测试范围和国外知名大学的数学资格考试相当。测试成绩将为国内外录取研究生提供重要的参考,这将为年轻学子进入现代数学大门提供有利的条件。 中国是泱泱大国,可造就之人才不可胜数,关键是全面提高中国数学人才的修养与能力,尤其是正在成长中的新生力量能得到有效、及时的指导。近现代数学硕果累累,大师不断,是现代文明的瑰宝。继承、发展现代数学也是中国贡献于世界的重要方面。这一竞赛将对中国的大学数学教育起良好的促进作用,在课程设置和思维方法上与国际一流的数学系接轨,通过测试的学子有望通过国内外的数学博士资格考试。此举将为中国和世界数学提供源源不断的优异的后备力量,其中将涌现出许多优秀的数学家。本竞赛将全面提升中国的大学数学教育,为把中国的人口大国变成人才大国做贡献。 # U( P. H+ P5 `( V
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就举办中国大学生数学竞赛致数学同仁的一封公开信 尊敬的同仁, 我们最近倡议举办中国大学生数学竞赛。特写此信向您说明为何要举办这样的竞赛。我们希望竞赛能够达到如下的目标。 1.培养一位好的数学家,一个重要的步骤是在他们开展研究工作前具备数学的基础知识和技能。为此,世界主要的数学机构都为研究生设置资格考试。中国好的学生应该能通过世界上主要数学机构的资格考试,例如哈佛、斯坦福、伯克利、普林斯顿、哥伦比亚等。可是近年来,这些学校来自中国的学生常常有通不过资格考试的情况,而来自东欧的好学生则无问题。中国大学数学竞赛的竞赛内容将足够广泛与基本。这样将有助于为中国和世界的数学机构提供良好的数学生源,为中国和世界的数学发展培植深厚的土壤。 2.应当为没能进入到中国顶尖大学的学生提供公平的竞争机会。这一点很重要。一个高中生可能有很多原因使得他(她)没能进入到顶尖大学,例如运气不好、身体不适、贫穷或者不成熟等。可是这些情况可能会发生变化,而这些学生突然决定要好好干。可在目前中国的情况下他们到世界和中国一流机构深造的机会较少。我们应当给他们以机会。我本人在香港就有类似的经历。我曾经很难进入到一流大学,经过艰苦的努力与奋斗才得到承认。 3.要让在顶尖学校学习的学生感到在数学上经常有压力和挑战,使得他们刻苦工作,保持一个良好的工作状态。现在经常有来自中国大陆的学生大谈数学的哲学,而不能坐下来做扎实的计算。这个竞赛的内容就是数学的基本知识与基本功,通过这个竞赛将能够非常有效地改变这种状况。 4.我们将邀请世界著名的数学家口试我们竞赛优秀的学生(暂定前15名)。这些数学家将亲自鉴定这些学生的水平与能力,为他们进入世界一流的研究院提供帮助。我相信许多一流数学家将会乐意面试我们的优秀学生。 致礼 丘成桐
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) u7 G- i6 g5 {0 ]6 f- Q% @PROF. YAU’S INITIATIVEBased on Prof. Shing Tung Yau’s suggestions it is proposed to organize college student mathematics contests in China. By competing with their peers it would help to enhance undergraduates in their basic college training in mathematics. The examination shall cover wide range of subjects. With deep and interesting questions this would motivate students to learn.There shall be an outstanding panel to oversee it.Young talents in China are abundant. The aim of the competition is to help many students in China to acquire basic trainings in modern mathematics. It is a basic step to build up a solid foundation in the developments of mathematics in China.We believe this will bring college mathematics education in China to a higher level and it would help to transform a country of vast population into a country of vast human resources. The test results shall be important references to admitting graduate students both in and outside of China.An open letter to Colleagues in Mathematics on College Student Mathematics Contest in China from Prof. Shing-Tung YauDear Colleagues,We are initiating a College Student Mathematics Contest in China. In this letter I shall explain more clearly the needs of this college mathematics competition. We wish the competition helps to achieve the following goals.1.In the training of a good mathematician a crucial step is to have students to know basic subjects and skills in mathematics before they do research. To achieve this major universities in the world set up qualify exams for beginning graduate students. Good students majoring in mathematics in Chinese universities should be good enough to pass qualify exams in any major universities in the world, e.g. Harvard, Stanford, Berkeley, Princeton, Columbia, etc. However in US we are facing the problem that some good Chinese students could not pass while good students from other countries could, especially those from Eastern European countries. The College Mathematics Contest shall be broad enough to cover the subjects in those qualify exams and it shall be helpful to train many good students in mathematics for China and for the world. 2.It should be a fair competition so that students from 'second rated' universities in China are given a second chance to compete. This is very important. There are many reasons that a high school student did not get into top universities such as bad luck, poor health, poverty, or immature. But it is often the case that situations changed when they go to college, they become more mature and suddenly they decide to be good. With the present situation, students of such colleges have hard time to go to the best universities to do graduate study. We should give them a chance. After all, when I was educated in Hong Kong, it was difficult for me to go to the first rated universities. It was through my hard work and good luck that I became recognized.3.To make sure those top university students to know that there are continuous challenges for their mathematics life so that they have to work hard at a fundamental level. It is very popular to see those students from college in China to talk about philosophy of mathematics while they have no idea on how to sit down to do a mathematics computation, this can be changed most effectively by such a competition.4.We shall invite world class mathematicians to give students oral test (for the top 15 candidates) and their names will endorse the quality of those students and it will be helpful for them to go to the best graduate schools. I am sure that many mathematicians would like to meet those brilliant students.In short I believe that the competition will bring the ability of our students to a much higher level. We welcome your students to participate the College Mathematics Contest in China. For details please visit:
0 T* ^+ p4 t( {3 nhttp://cms.zju.edu.cn With best regards,Shing-Tung Yau" ]* e$ K* f: B1 [
Chair of Department of Mathematics at Harvard and- H$ U* x! X2 O; ?
Chair of the Scientific and Questions Committee& o8 Z5 A6 a8 E) |" ^
July 11, 2010 |