Visual Complex Analysis / Edition 1

Visual Complex Analysis / Edition 1

4.3 3
by Tristan Needham
     
 

ISBN-10: 0198534469

ISBN-13: 9780198534464

Pub. Date: 02/28/1999

Publisher: Oxford University Press

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

…  See more details below

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:
02/28/1999
Edition description:
Reprint
Pages:
616
Sales rank:
681,741
Product dimensions:
9.00(w) x 6.10(h) x 1.30(d)

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

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >

Visual Complex Analysis 4.3 out of 5 based on 0 ratings. 3 reviews.
AdamMY More than 1 year ago
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.
Anonymous More than 1 year ago
Guest More than 1 year ago
A superb book which clearly explain the simple but profound geometrical ideas which are at the base of complex analysis.