Visual Complex Analysis by Tristan Needham

Visual Complex Analysis

byTristan Needham

Paperback | January 1, 1999

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Now available in paperback, this successful radical approach to complex analysis replaces the standard calculational arguments with new geometric ones. 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.

About The Author

Tristan Needham is at University of San Francisco.

Details & Specs

Title:Visual Complex AnalysisFormat:PaperbackDimensions:616 pages, 9.21 × 6.14 × 1.26 inPublished:January 1, 1999

The following ISBNs are associated with this title:

ISBN - 10:0198534469

ISBN - 13:9780198534464

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Table of Contents

1. Geometry and Complex Arithmetic2. Complex functions as Transformations3. Mobius Transformations and Inversion4. Differentiation: The Amplitwist Concept5. Further Geometry of Differentiation6. Non-Euclidean Geometry7. Winding Numbers and Topology8. Complex Integration: Cuachy's Theorem9. Cauchy's Formula and Its Applications10. Vector Fields: Physics and Topology11. Vector Fields and Complex Integration12. Flows and Harmonic Functions

Editorial Reviews

`...one very fine recent example of mathematical graphics at a high level is Needham's Visual Complex Analysis.'Notices of the AMS