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Complex Analysis, by Ian Stewart, David Tall
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This is a very successful textbook for undergraduate students of pure mathematics. Students often find the subject of complex analysis very difficult. Here the authors, who are experienced and well-known expositors, avoid many of such difficulties by using two principles: (1) generalising concepts familiar from real analysis; (2) adopting an approach which exhibits and makes use of the rich geometrical structure of the subject. An opening chapter provides a brief history of complex analysis which sets it in context and provides motivation.
- Sales Rank: #1137373 in Books
- Brand: Brand: Cambridge University Press
- Published on: 1983-04-29
- Original language: English
- Number of items: 1
- Dimensions: 8.98" h x .67" w x 5.98" l, 1.02 pounds
- Binding: Paperback
- 304 pages
- Used Book in Good Condition
About the Author
Ian Stewart is Professor of Mathematics at Warwick University in England. His many books include Does God Play Dice?, The collapse of Chaos (with Jack Cohen), Game, Set and Math, and Fearful Symmetry: Is God a Geometer? (with Martin Golubitsky). He contributed to a wide range of newspapers and
magazines, and writes the "Mathematical Recreations" column of Scientific American.
Most helpful customer reviews
9 of 11 people found the following review helpful.
Uses geometry of complex plane well to make reading easy.
By A Customer
Great book.
It's written for 2nd year university mathematics students. It covers all the standard topics from complex differentiability through to Cauchy's integral theorem, Taylor and Laurent series and then through to evaluating real, definite integrals and finishes up on Reinmann surfaces. The concepts are developed thoroughly from a very simple starting point. The text places a large emphasis on the geometry of the complex plane meaning that diagrams and graphs are used frequently in examples and proofs making reading miles easier. It starts with a few simple theorems in topology (which assume no prior knowledge of the topic) and use these to give convincing proofs of concepts such as Cauchy's theorem and Merton's theorem later in the book.
The index is quite comprehensive.
8 of 11 people found the following review helpful.
Pretty good book
By Amazon Customer
Most of the material is well thought out. Though I wish the author would give more concrete examples of the theory. For example in parametrising of paths :|z|
0 of 1 people found the following review helpful.
Highly recommended
By Kyle Beggs
Very lovely book.
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