高等复分析：分析综合教程（第2B部分）（影印版）

样章

作者：

Barry Simon

定价：

135.00元

版面字数：

530.000千字

开本：

16开

装帧形式：

精装

版次：

最新版次
印刷时间：

2023-01-08

ISBN：

978-7-04-059301-3

物料号：

59301-00

出版时间：

2023-03-08

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
Chapter 12. Riemannian Metrics and Complex Analysis
- §12.1. Conformal Metrics and Curvature
- §12.2. The Poincar´e Metric
- §12.3. The Ahlfors–Schwarz Lemma
- §12.4. Robinson’s Proof of Picard’s Theorems
- §12.5. The Bergman Kernel and Metric
- §12.6. The Bergman Projection and Painlev´e’s Conformal Mapping Theorem
Chapter 13. Some Topics in Analytic Number Theory
- §13.1. Jacobi’s Two- and Four-Square Theorems
- §13.2. Dirichlet Series
- §13.3. The Riemann Zeta and Dirichlet L-Function
- §13.4. Dirichlet’s Prime Progression Theorem
- §13.5. The Prime Number Theorem
Chapter 14. Ordinary Differential Equations in the Complex Domain
- §14.1. Monodromy and Linear ODEs
- §14.2. Monodromy in Punctured Disks
- §14.3. ODEs in Punctured Disks
- §14.4. Hypergeometric Functions
- §14.5. Bessel and Airy Functions
- §14.6. Nonlinear ODEs: Some Remarks
- §14.7. Integral Representation
Chapter 15. Asymptotic Methods
- §15.1. Asymptotic Series
- §15.2. Laplace’s Method: Gaussian Approximation and Watson’s Lemma
- §15.3. The Method of Stationary Phase
- §15.4. The Method of Steepest Descent
- §15.5. The WKB Approximation
Chapter 16. Univalent Functions and Loewner Evolution
- §16.1. Fundamentals of Univalent Function Theory
- §16.2. Slit Domains and Loewner Evolution
- §16.3. SLE: A First Glimpse
Chapter 17. Nevanlinna Theory
- §17.1. The First Main Theorem of Nevanlinna Theory
- §17.2. Cartan’s Identity
- §17.3. The Second Main Theorem and Its Consequences
- §17.4. Ahlfors’ Proof of the SMT
Bibliography
Symbol Index
Subject Index
Author Index
Index of Capsule Biographies