当代数学主题既是多元化、各成系统，又是紧密 地统一在一起。大部分人对于纷繁复杂的各种主题只 熟悉其中很少的部分。另一方面，数学中很多主要的 发展却来自不同理论和方法的相互交融。
在郑绍远的《现代数学导论（英文版）（精）》中， 我们精选了一些关于当前数学界若干重要和热点主题 的综述性文章，目的是提供给读者这些主题的入门介 绍以及该主题的概貌。这些文章的作者不乏一些国际 顶尖的数学家，如菲尔兹奖得主Vaughan Jones 和 LaurentLafforgue、邵逸夫奖得主Cliff Taubes等 。
本书对于关注数学发展的初学者和专家都是非常 有价值的参考读物。
- 前辅文
- Course Notes
- Introductory Lectures on Surgery Theory Thomas Farrell and Somnath Basu
- Survey Papers
- Uniqueness for a Class of Embedded Weingarten Hypersurfaces in Sn+1 Ben Andrews, Zhijie Huang, and Haizhong Li
- Geometric Group Theory: An Introduction Jason Behrstock
- The Geometry and Topology of Coxeter Groups Michael W Davis
- Three Flavors of Twisted Invariants of Knots J´erˆome Dubois, Stefan Friedl, and Wolfgang L¨uck
- Homogeneous Dynamics: A Study Guide Manfred Einsiedler and Thomas Ward
- Aspects of Nonnegatively Curved K¨ahler Manifolds Xiao-Yong Fu and Xi-Ping Zhu
- The Mahler Measure and K2 of Elliptic Curves Xuejun Guo and Hourong Qin
- Which Group is the Most Beautiful? Lizhen Ji
- von Neumann Algebras in Mathematics and Physics Vaughan Jones
- Formules de Poisson non Lin´eaires et Principe de Fonctorialit´e de Langlands Laurent Lafforgue
- A Static Uniqueness Theorem for Higher Genus Kottler Metrics Dan A Lee
- Lectures on Finite Groups Ronald Solomon
- What We Know and What We Don’t Know about 4-dimensions Cliff Taubes
- Congruent Number Problem and Arithmetic of Elliptic Curves Ye Tian
- Noncommutative Geometry of Discrete Groups Zhizhang Xie and Guoliang Yu
