黎曼曲面

出版时间：2003-9  出版社：世界图书出版公司  作者：H.M.Farkas  页数：363  
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内容概要

It is gratifying to learn that there is new life in an old field that has been at the center of one's existence for over a quarter of a century. It is particularly pleasing that the subject of Riemann surfaces has attracted the attention of a new generation of mathematicians from (newly) adjacent fields (for example, those interested in hyperbolic manifolds and iterations of rational maps) and young physicists who have been convinced (certainly not by mathematicians) that compact Riemann surfaces may play an important role in their (string) universe. We hope that non-mathematicians as well as mathematicians (working in nearby areas to the central topic of this book) will also learn part of this subject for the sheer beauty and elegance of the material (work of Weierstrass, Jacobi, Riemann, Hilbert, Weyl) and as healthy exposure to the way (some) mathematicians write about mathematics.

书籍目录

Preface to the Second Edition Preface to the First Edition Commonly Used Symbols CHAPTER 0 An Overview   0.1. Topological Aspects， Uniformization， and Fuchsian Groups   0.2. Algebraic Functions   0.3. Abelian Varieties   0.4. More Analytic Aspects CHAPTER ⅠRiemann Surfaces   Ⅰ.1. Definitions and Examples   Ⅰ.2. Topology of Riemann Surfaces   Ⅰ.3. Differential Forms   Ⅰ.4. Integration Formulae CHAPTER Ⅱ Existence Theorems   Ⅱ.1. Hilbert Space Theory--A Quick Review   Ⅱ.2. Weyl‘s Lemma   Ⅱ.3. The Hilbert Space of Square lntegrable Forms   Ⅱ.4.Harmonic Differentials  Ⅱ.5.Meromorphic Functions and DifferentialsCHAPTER Ⅲ Compact Riemann SurfacesCHAPTER Ⅳ UniformizationCHAPTER Ⅴ Automorphisms of Compact Surfaces-Elementary TheoryCHAPTER Ⅵ Theta FunctionsCHAPTER Ⅶ ExmplesBibliographyIndex

用户评论 (总计5条)

•   有不少好评，应该好的
•   学数学物理，本科阶段还能看中文书，到研究生阶段只能看英文书了，这还比较好了，好像以前法语德语都要懂一点，外国人确实写得好，差距啊。
•   很不错的推荐给数学系学生
•   专业书,纸的质量就不说了.....
•   纸质不好，喜欢当当能改善这点！