图书信息
图书目录
复分析导引（第二版）（影印版）
暂无简介
作者：
Ralph P. Boas，Second Edition revised by Harold P. Boas
定价：
135.00 元
出版时间：
2022-02-28
ISBN：
978-7-04-057028-1
物料号：
57028-00
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：
560.000千字
开本：
16开
装帧形式：
精装
版次：
1
最新版次印刷时间：
2022年
- 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
