复分析导引（第二版）（影印版）

样章

作者：

Ralph P. Boas，Second Edition revised by Harold P. Boas

定价：

135.00 元

版面字数：

560千字

开本：

16开

装帧形式：

精装

版次：

最新版次
印刷时间：

2022年

ISBN：

978-7-04-057028-1

物料号：

57028-00

出版时间：

2022-02-28

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

目录
- 前辅文
- Chapter 1 From Complex Numbers to Cauchy's Theorem
  - 1. Complex Numbers
  - 2. Functions
  - 3. Power Series
  - 4. Some Elementary Functions
  - 5. Curves and Integrals
  - 6. Cauchy's Theorem
- Chapter 2 Applications of Cauchy's Theorem
  - 7. Cauchy's Integral Formula
  - 8. Isolated Singular Points
  - 9. Evaluation ofDefinite Integrals
  - 10. Logarithms and General Powers
  - 11. Additional Definite Integrals
  - 12. Zeros ofAnalytic Functions
  - 13. Univalence and Inverses
  - 14. Laurent Series
  - 15. Combinations ofPower Series and Laurent Series
  - 16. The Maximum Principle
- Chapter 3 Analytic Continuation
  - 17. The Idea ofAnalytic Continuation
  - 18. Power Series on the Circle ofConvergence
- Chapter 4 Harmonic Functions and Conformal Mapping
  - 19. Harmonic Functions
  - 20. Harmonic Functions in a Disk
  - *21. Harmonic Functions and Fourier Series
  - 22. Conformal Mapping
  - 23. Some Applications ofConformal Mapping to Physics
  - 24. Some Special Flows
  - 25. Mobius Transformations
  - 26. Further Examples ofTransformations and Flows
  - 27. Dirichlet Problems in General
  - 28. The Riemann Mapping Theorem
  - 29. Intuitive Riemann Surfaces
- Chapter 5 Miscellaneous Topics
  - 30. A Non-Euclidean Geometry
  - 31. Infinite Products
  - 32. Rate ofGrowth Versus Number ofZeros
  - 33. Generalizations ofthe Maximum Principle
  - 34. Asymptotic Series
  - 35. Univalent Functions in the Disk
- Solutions of Exercises
- References
- Index
- About the Authors