Visual Complex Analysis / Edition 1

Visual Complex Analysis / Edition 1

by Tristan Needham
ISBN-10:
0198534469
ISBN-13:
9780198534464
Pub. Date:
02/18/1999
Publisher:
Oxford University Press
ISBN-10:
0198534469
ISBN-13:
9780198534464
Pub. Date:
02/18/1999
Publisher:
Oxford University Press
Visual Complex Analysis / Edition 1

Visual Complex Analysis / Edition 1

by Tristan Needham

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Overview

This radical first course on complex analysis brings a beautiful and powerful subject to life by consistently using geometry (not calculation) as the means of explanation. Aimed at undergraduate students in mathematics, physics, and engineering, the book's intuitive explanations, lack of advanced prerequisites, and consciously user-friendly prose style will help students to master the subject more readily than was previously possible. The key to this is the book's use of new geometric arguments in place of the standard calculational ones. These geometric arguments are communicated with the aid of hundreds of diagrams of a standard seldom encountered in mathematical works. A new approach to a classical topic, this work will be of interest to students in mathematics, physics, and engineering, as well as to professionals in these fields.

Product Details

ISBN-13: 9780198534464
Publisher: Oxford University Press
Publication date: 02/18/1999
Edition description: Reprint
Pages: 616
Product dimensions: 9.20(w) x 6.16(h) x 1.23(d)

About 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.

Table of Contents

1. Geometry and Complex Arithmetic

What People are Saying About This

Ian Stewart

One of the saddest developments in school mathematics has been the downgrading of the visual for the formal. I'm not lamenting the loss of traditional Euclidean geometry, despite its virtues, because it too emphasised stilted formalities. But to replace our rich visual intuition by silly games with 2 x 2 matrices has always seemed to me to be the height of folly. It is therefore a special pleasure to see Tristan Needham's Visual Complex Analysis with its elegantly illustrated visual approach. Yes, he has 2 x 2 matrices --- but his are interesting.

Paul Zorn

Delivers what its title promises, and more: an engaging, broad, thorough, and often deep, development of undergraduate complex analysis and related areas (non-Euclidean geometry, harmonic functions, etc.) from a geometric point of view. The style is lucid, informal, reader-friendly, and rich with helpful images (e.g., the complex derivative as an "amplitwist"). A truly unusual and notably creative look at a classical subject.

Ed Catmull

I was delighted when I came across Visual Complex Analysis. As soon as I thumbed through it, I realized that this was the book I was looking for ten years ago.
— (Dr. Ed Catmull, Founder and Chief Technology Officer of Pixar Animation Studios [makers of Toy Story and A Bug's Life])

Roger Penrose

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.

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