简介
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。
目录
Course Notes
Introductory Lectures on Surgery Theory
Survey Papers
Uniqueness for a Class of Embedded Weingarten Hypersurfaces in Sn+l
Geometric Group Theory: An Introduction
The Geometry and Topology of Coxeter Groups
Three Flavors of Twisted Invariants of Knots
Homogeneous Dynamics: A Study Guide
Aspects of Nonnegatively Curved Kahler Manifolds
The Mahler Measure and K2 of Elliptic Curves
Which Group is the Most Beautiful?
von Neumann Algebras in Mathematics and Physics
Formules de Poisson non Lineaires et Principe de Fonctorialit6 de Langlands
A Static Uniqueness Theorem for Higher Genus Kottler Metrics
Lectures on Finite Groups
What We Know and What We Don't Know about 4-dimensions
Congruent Number Problem and Arithmetic of Elliptic Curves
Noncommutative Geometry of Discrete Groups
Introductory Lectures on Surgery Theory
Survey Papers
Uniqueness for a Class of Embedded Weingarten Hypersurfaces in Sn+l
Geometric Group Theory: An Introduction
The Geometry and Topology of Coxeter Groups
Three Flavors of Twisted Invariants of Knots
Homogeneous Dynamics: A Study Guide
Aspects of Nonnegatively Curved Kahler Manifolds
The Mahler Measure and K2 of Elliptic Curves
Which Group is the Most Beautiful?
von Neumann Algebras in Mathematics and Physics
Formules de Poisson non Lineaires et Principe de Fonctorialit6 de Langlands
A Static Uniqueness Theorem for Higher Genus Kottler Metrics
Lectures on Finite Groups
What We Know and What We Don't Know about 4-dimensions
Congruent Number Problem and Arithmetic of Elliptic Curves
Noncommutative Geometry of Discrete Groups
Introduction to Modern Mathematics
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