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Complex Analysis: The Hitchhiker's Guide to the Plane
 
 
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Complex Analysis: The Hitchhiker's Guide to the Plane [Paperback]

Ian Stewart , David Tall
4.5 out of 5 stars  See all reviews (6 customer reviews)
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Complex Analysis: The Hitchhiker's Guide to the Plane + Introduction to Complex Analysis + Introduction to Metric and Topological Spaces
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Product details

  • Paperback: 290 pages
  • Publisher: Cambridge University Press (10 Mar 1983)
  • Language English
  • ISBN-10: 0521287634
  • ISBN-13: 978-0521287630
  • Product Dimensions: 2.4 x 1.4 x 0.2 cm
  • Average Customer Review: 4.5 out of 5 stars  See all reviews (6 customer reviews)
  • Amazon Bestsellers Rank: 219,544 in Books (See Top 100 in Books)
  • See Complete Table of Contents

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Ian Stewart
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Product Description

Product Description

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.

Book Description

Students often find the subject of complex analysis very difficult. An opening chapter provides a brief history of complex analysis which sets it in context and provides motivation.

Inside This Book (Learn More)
First Sentence
If, as Kronecker asserted, the integers are made by God and all the rest is the work of Man, then complex numbers are certainly one of Man's most intriguing mathematical artefacts. Read the first page
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Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
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Customer Reviews

Most Helpful Customer Reviews
7 of 7 people found the following review helpful
Format:Paperback
At first when I began to read from this book it felt an easy, simple to read book giving clarity rather than anchoring you down with complicated notation and language. However, the simplicity is at a payoff, later topics within chapter 7 and onwards lack enough rigour to really give you the ability to be able to use it in application (although the concepts remains clear). The book is riddled with 'typos'/'mistakes'; within proofs and exercise and derivations of formulas, so you lose time trying to understand or solve questions which will inherently lead you to the wrong conclusions relative to what the question is implying to. So it has naturally lead to frustration and doubt whether the question are worth the effort. The 'loose' definitions restrict logical growth and certain concepts are to brief to give the full weight of their importance.

They have given you the map but not the compass and a legend for the map. So while you may understand the concepts, it's beauty is left hidden in the exercises! I felt slightly robbed that they may of been a bit lazy in leaving all the work in the exercises. As a mathematician I understand the necessity of exercises but only if they lead or provide you the tools to be able to complete them; this is where I feel they went wrong (mistakes included).

Finally, the examples are basic and do not fully explore the definitions or theorems.

It is a good book for the very, very basics and if you don't read too deeply into it; so overall, disappointed, expected more from a Ian Stewart book. For a fuller grasp of the subject you will need another book; you have been warned.
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11 of 12 people found the following review helpful
Format:Paperback
I have recently completed a third year undergraduate course in complex analysis and I found this book to be helpful to me in explaining the ideas and concepts of analysis in the complex plane. The book is set out in an easy to follow manner with many worked examples and lots of exercises at the end of each chapter to help consolidate the ideas learnt. I found it complemented my class notes with more in depth explainations. I also found it a good point of reference for exercises set by my tutor.
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1 of 1 people found the following review helpful
Format:Paperback
Although my course notes were fully comprehensive when I did this subject, they lacked that extra something that made the exposition limpid. I got this book after I'd finished the course, but I wish I'd had it at the time because I may have got a better result (i.e. a 1 rather than a 2).

Complex Analysis is when maths grows up and really starts becoming a useful tool - it underpins the whole of modern physics and more. It's also rumoured to be a difficult subject. Stewart and Tall give the lie to this by writing a text which is one of the clearest texts I've seen on *any* mathematical subject.

I agree with all the other reviewers. This book rocks.
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