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Visual Complex Analysis

Visual Complex Analysis Cover

 

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.

Description:

Includes bibliographical references (p. [573]-578) and index.

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

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: 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

Product Details

ISBN:
9780198534471
Publisher:
Oxford University Press, USA
Location:
Oxford :
Author:
Needham, Tristan
Author:
null, Tristan
Subject:
Mathematics
Subject:
Mathematics | Applied Mathematics
Subject:
Applied
Series Volume:
1984
Publication Date:
19970327
Binding:
Hardback
Grade Level:
College/higher education:
Illustrations:
501 illus.
Pages:
616
Dimensions:
9.1 x 6.1 x 1.5 in 2.25 lb

Related Subjects

Visual Complex Analysis
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Product details 616 pages Oxford University Press, Incorporated - English 9780198534471 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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