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图书目录
复分析：几何观点，第二版（影印版）
暂无简介
作者：
Steven G. Krantz
定价：
99.00 元
出版时间：
2021-03-01
ISBN：
978-7-04-055636-0
物料号：
55636-00
读者对象：
学术著作
一级分类：
自然科学
二级分类：
数学与统计
三级分类：
分析
重点项目：
暂无
版面字数：
391.00千字
开本：
特殊
装帧形式：
精装
版次：
1
最新版次印刷时间：
2025年
- 前辅文
- 0 Principal Ideas of Classical Function Theory
- 1. A Glimpse of Complex Analysis
- 2. The Maximum Principle, the Schwarz Lemma, and Applications
- 3. Normal Families and the Riemann Mapping Theorem
- 4. Isolated Singularities and the Theorems of Picard
- 1 Basic Notions of Differential Geometry
- 0. Introductory Remarks
- 1. Riemannian Metrics and the Concept of Length
- 2. Calculus in the Complex Domain
- 3. Isometries
- 4. The Poincaré Metric
- 5. The Schwarz Lemma
- 6. A Detour into Non-Euclidean Geometry
- 2. Curvature and Applications
- 1. Curvature and the Schwarz Lemma Revisited
- 2. Liouville's Theorem and Other Applications
- 3. Normal Families and the Spherical Metric
- 4. A Generalization of Montel's Theorem and the Great Picard Theorem
- 3 Some New Invariant Metrics
- 0. Introductory Remarks
- 1. The Carathéodory Metric
- 2. The Kobayashi Metric
- 3. Completeness of the Carathéodory and Kobayashi Metrics
- 4. An Application of Completeness: Automorphisms
- 5. Hyperbolicity and Curvature
- 4 Introduction to the Bergman Theory
- 0. Introductory Remarks
- 1. Bergman Basics
- 2. Invariance Properties of the Bergman Kernel
- 3. Calculation of the Bergman Kernel
- 4. About the Bergman Metric
- 5. More on the Bergman Metric
- 6. Application to Conformal Mapping
- 5 A Glimpse of Several Complex Variables
- 0. Functions of Several Complex Variables
- 1. Basic Concepts
- 2. The Automorphism Groups of the Ball and Bidisc
- 3. Invariant Metrics and the Inequivalence of the Ball and the Bidisc
- Appendix
- 1. Introduction
- 2. Expressing Curvature Intrinsically
- 3. Curvature Calculations on Planar Domains
- Symbols
- References
- Index
