Visual Complex Analysis / Edition 1

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Overview

This 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 visually 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.
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Editorial Reviews

Mathematical Gazette
I can only describe this book as amazing...it is not an exaggeration to say that there are gems in every section...even familiar facts are frequently explained in refreshingly new ways in this wonderful book....If your budget limits you to buying only one mathematics book in a year then make sure that this is the one that you buy.
Times Higher Education Supplement
Newton would have approved....a fascinating and refreshing look at a familiar subject....It is essential reading for anybody with any interest at all in this absorbing area of mathematics.
Mathematical Reviews
This informal style is excellently judged and works extremely well...Many of the arguments presented will be new even to experts, and the book will be of great interest to professionals working in either complex analysis or in some field where complex analysis is used.
From the Publisher

"Visual Complex Analysis is a delight, and a book after my own heart. By his innovative and exclusive use of the geometrical perspective, Tristan Needham uncovers many surprising and largely unappreciated aspects of the beauty of complex analysis." --Roger Penrose

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Product Details

  • ISBN-13: 9780198534464
  • Publisher: Oxford University Press
  • Publication date: 2/28/1999
  • Edition description: Reprint
  • Edition number: 1
  • Pages: 616
  • Sales rank: 640,189
  • Product dimensions: 9.00 (w) x 6.10 (h) x 1.30 (d)

Meet the Author

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.

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Table of Contents

1. Geometry and Complex Arithmetic
2. Complex Functions as Transformations
3. Möbius 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: Cauchy'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

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Customer Reviews

Average Rating 4.5
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Sort by: Showing all of 3 Customer Reviews
  • Posted February 15, 2013

    For the Visual Learner

    While my headline might make sense based on the title of this book, this book is amazing at providing lots of detailed images getting at the nuts and bolts of what is going on with the spaces when you preform certain complex operations. I purchased this book to accompany the Complex analysis textbook used in my Graduate School course, which while not a bad book focused very heavily on the analysis and often beautiful visual results where skipped over and ignored completely.

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  • Anonymous

    Posted April 7, 2001

    A wonderful book which explain the inner geometrical reason behind complex analysis

    A superb book which clearly explain the simple but profound geometrical ideas which are at the base of complex analysis.

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  • Anonymous

    Posted April 4, 2010

    No text was provided for this review.

Sort by: Showing all of 3 Customer Reviews

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