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Ben MarcusBen Marcus's books The Age of Wire and String and Notable American Women were considered "experimental" fiction because of his unconventional use of... Continue »
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Visual Complex Analysis

by Tristan Needham

Visual Complex Analysis Cover

ISBN13: 9780198534464
ISBN10: 0198534469
Condition:
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Synopses & Reviews

Publisher Comments:

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.

Synopsis:

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.
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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.

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Table of Contents

1. Geometry and Complex Arithmetic

2. Complex Functions as Transformations

3. M�bius 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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What Our Readers Are Saying

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Average customer rating based on 1 comment:
Jeremy Gross, January 26, 2011 (view all comments by Jeremy Gross)
Note: the publisher lists this book at $80 US. Do not allow yourself to be overcharged for this book.

I read this book before I went back to school to study math. With a knowledge of basic calculus, not used in nearly a decade, I was able to read the book cover to cover, and I was astonished by the beauty and power of what I saw there. This is a passionate book about exquisite mathematics. Breathtaking and elegant. It motivated me to earn an MS in pure mathematics and continue on to a Ph.D. in math.
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Product Details

ISBN:
9780198534464
Author:
Needham, Tristan
Publisher:
Oxford University Press, USA
Author:
null, Tristan
Location:
Oxford
Subject:
Mathematics
Subject:
Engineering - Mechanical
Subject:
Mathematical Analysis
Subject:
Applied
Subject:
Mathematics | Applied Mathematics
Subject:
Mechanical
Subject:
Mathematics-Analysis General
Copyright:
1999
Series Volume:
1984
Publication Date:
19990218
Binding:
Paperback
Grade Level:
College/higher education:
Language:
English
Illustrations:
501 illus.
Pages:
616
Dimensions:
6.1 x 9 x 1.2 in 1.969 lb
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Visual Complex Analysis New Trade Paper
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Product details 616 pages Oxford University Press - English 9780198534464 Reviews:
"Synopsis" by , 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.
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