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复分析:几何观点,第二版(影印版)


作者:
Steven G. Krantz
定价:
99.00元
ISBN:
978-7-04-055636-0
版面字数:
391.000千字
开本:
特殊
全书页数:
暂无
装帧形式:
精装
重点项目:
暂无
出版时间:
2021-03-01
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

暂无
  • 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

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