Riemann Surfaces 英文原版 黎曼曲面(牛津大学数学研究生教材) Simon Donaldson 

基本信息

By (author) Simon K. Donaldson

Format Paperback | 304 pages

Dimensions 160 x 233 x 17mm | 452g

Publication date 19 May 2011

Publisher Oxford University Press

Publication City/Country Oxford, United Kingdom

Language English

Illustrations note 46 line diagrams

ISBN10 0199606749

ISBN13 9780199606740

页面参数仅供参考，具体以实物为准

内容简介

An authoritative but accessible text on one dimensional complex manifolds or Riemann surfaces. Dealing with the main results on Riemann surfaces from a variety of points of view; it pulls together material from global analysis, topology, and algebraic geometry, and covers the essential mathematical methods and tools.

Established author with an international research reputation

The topic stands at the centre of a number of key areas

Novel, innovative approach to the fundamental results

Emphasis on topology and the interaction with global analysis

一维复杂流形或黎曼曲面上的权威但可访问的文本。从多种角度处理黎曼曲面上的主要结果；它从全局分析，拓扑结构和代数几何学中收集材料，并涵盖了基本的数学方法和工具。

享誉国际的知名作家

该主题是许多关键领域的中心

新颖，创新的方法获得基本结果

强调拓扑结构以及与全局分析的交互作用

作者简介

Simon Donaldson, Royal Society Research Professor, Imperial College, London

书籍目录

I Preliminaries

1:Holomorphic Functions

2:Surface Topology

II Basic Theory

3:Basic Definitions

4:Maps between Riemann Surfaces

5:Calculus on Surfaces

6:Elliptic functions and integrals

7:Applications of the Euler characteristic

III Deeper Theory

8:Meromorphic Functions and the Main Theorem for Compact Riemann Surfaces

9:Proof of the Main Theorem

10:The Uniformisation Theorem

IV Further Developments

11:Contrasts in Riemann Surface Theory

12:Divisors, Line Bundles and Jacobians

13:Moduli and Deformations

14:Mappings and Moduli

15:Ordinary Differential Equations

Bibliography

Index