Visual Complex Analysis 英文原版 可视化复分析（牛津经典教材） Tristan Needham

基本信息

By (author) Tristan Needham

Format Paperback | 616 pages

Dimensions 156 x 234 x 32mm | 924g

Publication date 18 Feb 1999

Publisher Oxford University Press

Publication City/Country Oxford, United Kingdom

Language English

Edition Statement Reprint

Illustrations note 501 line figures

ISBN10 0198534469

ISBN13 9780198534464

页面参数仅供参考，具体以实物为准

内容简介

This radical approach to complex analysis replaces the standard calculational arguments with new geometric arguments. With several hundred diagrams, and far fewer prerequisites than usual, this is the first visual intuitive introduction to complex analysis. Although designed for use by undergraduates in mathematics and science, the novelty of the approach will also interest professional mathematicians.

现在已以平装本提供，这种成功的基本分析方法可以用新的几何参数代替标准的计算参数。这是数百个图表，并且前提条件比平时少得多，这是对复杂分析的第一个直观直观介绍。尽管专为数学和科学专业的本科生设计，但这种方法的新颖性也会引起专业数学家的兴趣。

作者简介

Tristan Needham is Associate Professor of Mathematics at the University of San Francisco. For part of the work in this book, he was presented with the Carl B. Allendoerfer Award by the Mathematical Association of America.

书籍目录

1. Geometry and Complex Arithmetic ; 2. Complex functions as Transformations ; 3. Mobius Transformations and Inversion ; 4. Differentiation: The Amplitwist Concept ; 5. Further Geometry of Differentiation ; 6. Non-Euclidean Geometry ; 7. Winding Numbers and Topology ; 8. Complex Integration: Cuachy's Theorem ; 9. Cauchy's Formula and Its Applications ; 10. Vector Fields: Physics and Topology ; 11. Vector Fields and Complex Integration ; 12. Flows and Harmonic Functions