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Galois Theory, Third Edition (Chapman Hall/CRC Mathematics Series) [Paperback]

Ian Stewart
3.7 out of 5 stars  See all reviews (7 customer reviews)
RRP: 43.99
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Book Description

28 July 2003 1584883936 978-1584883937 3
Ian Stewart's Galois Theory has been in print for 30 years. Resoundingly popular, it still serves its purpose exceedingly well. Yet mathematics education has changed considerably since 1973, when theory took precedence over examples, and the time has come to bring this presentation in line with more modern approaches.

To this end, the story now begins with polynomials over the complex numbers, and the central quest is to understand when such polynomials have solutions that can be expressed by radicals. Reorganization of the material places the concrete before the abstract, thus motivating the general theory, but the substance of the book remains the same.

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Product details

  • Paperback: 328 pages
  • Publisher: Chapman and Hall/CRC; 3 edition (28 July 2003)
  • Language: English
  • ISBN-10: 1584883936
  • ISBN-13: 978-1584883937
  • Product Dimensions: 1.8 x 15.4 x 23.1 cm
  • Average Customer Review: 3.7 out of 5 stars  See all reviews (7 customer reviews)
  • Amazon Bestsellers Rank: 121,780 in Books (See Top 100 in Books)
  • See Complete Table of Contents

More About the Author

Professor Ian Stewart is the author of many popular science books. He is the mathematics consultant for the New Scientist and a Professor of Mathematics at the University of Warwick. He was awarded the Michael Faraday Medal for furthering the public understanding of science, and in 2001 became a Fellow of the Royal Society.

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Review

"This edition preserves and even extends one of the most popular features of the original edition: the historical introduction and the story of the fatal duel of Evariste Galois. These historical notes should be of interest to students as well as mathematicians in general. [A]fter more than 30 years, Ian Stewart's Galois Theory remains a valuable textbook for algebra undergraduate students." - Zentralblatt MATH, 1049 "The penultimate chapter is about algebraically closed fields and the last chapter, on transcendental numbers, contains 'what-every-mathematician-should-see-at-least-once', the proof of transcendence of pi. The book is designed for the second and third year undergraduate courses. I will certainly use it." - EMS Newsletter

Inside This Book (Learn More)
First Sentence
In the first part of this book, Chapters 1 to 15, we present a (fairly) modern version of Galois's ideas in the same setting that he used, namely, the complex numbers. Read the first page
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Front Cover | Copyright | Table of Contents | Excerpt | Index
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Customer Reviews

Most Helpful Customer Reviews
15 of 15 people found the following review helpful
4.0 out of 5 stars Saved my degree!! 6 Feb 2002
Format:Paperback
I have to admit, I struggled through my Maths Degree, but Galois Theory was something I developed a bit of a fondness for, probably because of this book!
This beautiful area of mathematics is presented in a clear and helpful manner, and unusually for a textbook, explains some of the definitions and theorems that you may have missed earlier in your course. Textbook writers tend to forget that refreshers are sometimes needed on elementary points - not so here.
Some interesting details about Galois himself are included, and it's funny how this seems to aid understanding of the subject.
It also gives useful examples and applications of what you have learnt, and throughout the text is a clear sense of where you are heading.
If you're stuck at Uni and baffled with Galois Theory, this book will be indispensible.
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14 of 15 people found the following review helpful
4.0 out of 5 stars An excellent introduction to Galois theory 10 Jun 2001
By A Customer
Format:Paperback
This book introduces the subject in a very approachable manner. The book assumes that the basics of group theory are already understood by the reader and the first few chapters gently explains the field theory required before the Galois theory starts. Some chapters are very theoretic (and therefore dull) but this is circumvented by a number of very good examples to motivate the theory. Also, later chapters give applications, such as the solubility of equations and the fundamental theorem of algebra, in which you can see the theory in action and also how beautiful the mathematics is.
I would recommend this book to anyone studying abstract algebra as it is an excellent introduction to not only Galois theory but field theory as well.
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4 of 4 people found the following review helpful
3.0 out of 5 stars Galois Theory 1 Jun 2010
By tiger
Format:Paperback
This is a good book but it could have been much better. There are quite a few mistakes but most are not that confusing. The main problem is that a lot of the explanations are not as detailed as I would have liked (Maybe I'm just thick). This book is best for those who don't know much abstract algebra since most of the book deals with polynomials over the complex numbers rather than a general ring. This makes some of the proofs much messier than necessary. I recommend getting the Second Edition instead since it starts straight away with general rings and also has a few solutions in the back unlike the third edition.
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1 of 1 people found the following review helpful
2.0 out of 5 stars A crap book. 1 Mar 2014
By adampax
Format:Paperback
You might have thought that by the third edition most of the mistakes would have been corrected, but every chapter seems to contain a few. The prose is annoying and contains a lot of waffle which is confusing. Also the book is cheaply bound and badly laid out. There are many good galois theory textbooks to be read so don't spend 40 on this.
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