丘成桐大学生数学竞赛由著名数学家、微分几何大师丘成桐先生于2010年创办,竞赛旨在提高中国数学本科生的专业水平,使其数学知识面更广,基础更牢。竞赛分为代数与数论、分析与微分方程、应用数学与计算数学、几何与拓扑、概率与统计五个科目。试题主要取材于美国各高校数学系的研究生资格考试,也汇集了一些竞赛委员会成员们收集或自编的问题。 本书包括了2010—2013年丘成桐大学生数学竞赛的全部试题及详细解答,并附有竞赛各科目的大纲和参考书目,试题和答案全部以英文形式呈现。
本书可供参加竞赛的学生参考,也可供数学系高年级本科生和相关教师以及数学爱好者阅读。
- 前辅文
- About S.-T. Yau College Student Mathematics Contests
- Welcome Letter
- Opening Letter
- Organization
- Regulations
- S.-T. Yau College Student Mathematics Contests 2010
- Algebra, Number Theory and Combinatorics
- Analysis and Differential Equations
- Applied Math., Computational Math., Probability and Statistics
- Geometry and Topology
- S.-T. Yau College Student Mathematics Contests 2011
- Algebra, Number Theory and Combinatorics
- Analysis and Differential Equations
- Applied Math., Computational Math., Probability and Statistics
- Geometry and Topology
- S.-T. Yau College Student Mathematics Contests 2012
- Algebra and Number Theory
- Analysis and Differential Equations
- Applied Mathematics and Computational Mathematics
- Geometry and Topology
- Probability and Statistics
- S.-T. Yau College Student Mathematics Contests 2013
- Algebra and Number Theory
- Analysis and Differential Equations
- Applied Mathematics and Computational Mathematics
- Geometry and Topology
- Probability and Statistics
- Syllabuses for S.-T. Yau College Student Mathematics Contests
- Syllabus on Algebra and Number Theory
- Syllabus on Analysis and Differential Equations
- Syllabus on Applied Mathematics and Computational Mathematics
- Syllabus on Geometry and Topology
- Syllabus on Probability and Statistics
- Winners Finalists
- 2010 S.-T. Yau College Student Mathematics Contests
- 2011 S.-T. Yau College Student Mathematics Contests
- 2012 S.-T. Yau College Student Mathematics Contests
- 2013 S.-T. Yau College Student Mathematics Contests