图书信息
图书目录
高等复分析：分析综合教程（第2B部分）（影印版）
暂无简介
作者：
Barry Simon
定价：
135.00元
出版时间：
2023-03-08
ISBN：
978-7-04-059301-3
物料号：
59301-00
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：
530.000千字
开本：
16开
全书页数：
暂无
装帧形式：
精装
- 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
