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高等复分析:分析综合教程(第2B部分)(影印版)


作者:
Barry Simon
定价:
135.00元
ISBN:
978-7-04-059301-3
版面字数:
530.000千字
开本:
16开
全书页数:
暂无
装帧形式:
精装
重点项目:
暂无
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

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