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Galois Theory, Third Edition (Chapman & Hall/Crc Mathematics) (Paperback)

~ (Author) "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..." (more)
Key Phrases: Fundamental Theorem of Algebra, Natural Irrationalities, Cauchy's Theorem (more...)

3.8 out of 5 stars See all reviews (14 customer reviews)

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Formats		Amazon Price	New from	Used from
Hardcover Published October 18, 1989	Hardcover, October 18, 1989	--	--	--
Paperback $49.26 In Stock. Published July 27, 2003	Paperback, July 27, 2003	$49.26	$49.26	$38.57
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Unknown Binding Published December 31, 1974	Unknown Binding, December 31, 1974	--	--	--

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Editorial Reviews

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

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 Stewarts Galois Theory remains a valuable textbook for algebra undergraduate students.
- Zentralblatt MATH, 1049

Product Description

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.

Product Details

Paperback: 328 pages
Publisher: Chapman & Hall/CRC; 3 edition (July 28, 2003)
Language: English
ISBN-10: 1584883936
ISBN-13: 978-1584883937
Product Dimensions: 9.1 x 6 x 0.8 inches
Shipping Weight: 1.1 pounds (View shipping rates and policies)

Average Customer Review: 3.8 out of 5 stars See all reviews (14 customer reviews)

Amazon.com Sales Rank: #732,828 in Books (See Bestsellers in Books)

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Front Cover | Table of Contents | First Pages | Index | Surprise Me!

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

Key Phrases - Capitalized Phrases (CAPs): (learn more)
Fundamental Theorem of Algebra, Natural Irrationalities, Cauchy's Theorem, Euclidean Algorithm, Gauss's Lemma, Vandermonde-Gauss Theorem, Diet Galois, Multiply Equation, Remainder Theorem, Disquisitiones Arithmeticae, Solving Equations

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Front Cover | Table of Contents | First Pages | Index | Surprise Me!

Citations (learn more)

This book cites 57 books:

Disquisitiones Arithmeticae by Carl F. Gauss on 5 pages
Galois Theory, Second Edition by Ian Stewart in Front Matter (1), and Front Matter (2)
Finite Fields (Encyclopedia of Mathematics and its Applications) by Rudolf Lidl on page 227, and Back Matter
The Book of My Life (New York Review Books Classics) by Girolamo Cardano in Front Matter, and Back Matter
Galois Theory: Lectures Delivered at the University of Notre Dame (Notre Dame Mathematical Lectures, Number 2) by Emil Artin on page 163, and Back Matter

See all 57 books this book cites

77 books cite this book:

Managing Mathematical Projects - with Success! (Springer Undergraduate Mathematics Series) by P.P.G. Dyke on page 152, page 153, and page 192
Modern Algebra with Applications by William J. Gilbert on page 52, and Back Matter
Microcomputers and Mathematics by James William Bruce on page 40, and page 83
Introduction to Algebra by Peter J. Cameron on page 175, and Back Matter
Abel's Proof: An Essay on the Sources and Meaning of Mathematical Unsolvability by Peter Pesic in Back Matter (1), and Back Matter (2)

See all 77 books citing this book

Books on Related Topics (learn more)

Field Extensions and Galois Theory by Julio R. Bastida

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	67% buy the item featured on this page: Galois Theory, Third Edition (Chapman & Hall/Crc Mathematics) 3.8 out of 5 stars (14) $49.26
	9% buy Algebraic Number Theory and Fermat's Last Theorem 4.2 out of 5 stars (4) $59.00
	8% buy Professor Stewart's Cabinet of Mathematical Curiosities 4.1 out of 5 stars (9) $12.20
	8% buy Why Beauty Is Truth: A History of Symmetry 3.9 out of 5 stars (19) $11.53

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Customer Reviews

14 Reviews

5 star:		(6)
4 star:		(2)
3 star:		(4)
2 star:		(1)
1 star:		(1)

Average Customer Review

3.8 out of 5 stars (14 customer reviews)

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Most Helpful Customer Reviews

17 of 19 people found the following review helpful:

4.0 out of 5 stars Textbook plus Popularisation, April 10, 2000

By	T. F. Mabbott (Cambridge, UK) - See all my reviews (REAL NAME)

This review is from: Galois Theory, Second Edition (Paperback)

A lovely book that takes time to show off the applications of Galois theory. The expanded sections in the second edition really make a beautiful job of giving a historical and mathematically meaningful context to the central concepts.

However the main body of the work is a quite traditional textbook account that explorers the abstract idea of Galois groups over general fields - leaving the reader to inject the meaning and context. Someone, somewhere is capable of making the central concepts of Galois theory as natural and obvious to the reader as it was to Galois. But this isn't the book.

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9 of 9 people found the following review helpful:

5.0 out of 5 stars Accessible intro to field extensions and Galois theory, April 2, 1999

By A Customer

This review is from: Galois Theory, Second Edition (Paperback)

This book is aimed at upperlevel undergraduates, presumably math majors. I'd say that's about right; it assumes the reader is familar with the basics of groups, and the proofs strike a good balance between rigor and informality.

The book is also accessible to people who have been out of school a while, but are still interested in math. I had to read it more than once to get comfortable with some of the ideas, but Stewart does a good job of providing examples that are understandable given some familiarity with college algebra.

I had some heard about the proofs of the impossibility of trisecting the angle, but had little concept of how that was done. This book made it clear. I had also heard that there was no general formala for solving quintic polynomials, but I was surprised to learn that the solutions couldn't even be expressed by radical equations. I was pleased to be able to follow the proofs.

After reading / working my way through the book at least twice, I feel comfortable enough to tackle more ambitious works. Michio Kuga's "Galois' Dream" adds many new concepts, and illustrates Galois Theory in a different application. Seeing Galois theory in another context has been helpful in understanding what is necessary to being able to use it.

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11 of 12 people found the following review helpful:

3.0 out of 5 stars Different Editions and an Errata, March 25, 2006

By	a reader - See all my reviews

I just wanted to point out the following:

* The reviews dated prior to the year 2003 refer to earlier editions of the book. The current (3rd) edition was rewritten extensively.

* A list of corrections is available on the Internet. The review guidelines discourage posting URLs, but an internet search with the keywords "stewart galois theory errata" should find the location. You need a postscript reader to view the errata, but a free one is available online.

Comment Comments (2) | Permalink | Was this review helpful to you? Yes No (Report this)

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Most Recent Customer Reviews

2.0 out of 5 stars Many mistakes spoil the book
If you buy this book, be sure to find the half a dozen(!) pages of errata. Then reserve a few hours to go through almost every page to correct the many mistakes. Be warned! Read more

Published 1 month ago by Kim Batselier

5.0 out of 5 stars Galois Theory is great!
I've received the book very quickly and the book (a classic) is great! I recommand Amazon and Galois Theory as well!

Published 1 month ago by Eric OLIVIER

3.0 out of 5 stars No answers to exercises , it is inconvienient .
it is not good for self-
study .

Published on February 26, 2007 by Katsuhito Hiroi

3.0 out of 5 stars A cute introduction
I do like Stewart's book. Very much, indeed. I like the approach of starting in the complex case, with very little abstract algebra assumed. Read more

Published on September 26, 2005 by Ragnar Freij

1.0 out of 5 stars TYPOS!! (plus some more major errors)
Some reviews mention typos. This book has so many typos that it is certainly not useful as a tool to learn Galois Theory. Read more

Published on May 7, 2005 by Nelson Bradley

4.0 out of 5 stars Good, but SO many typos
Good book, with a solid foundation in Galois Theory. Two major problems: the author introduces the theory over the complex field, when he really should start out in the abtract... Read more

Published on June 1, 2004

5.0 out of 5 stars Great Exposition of Galois Theory
This is the book for Galois Theory. I've read most of the others and they go deeper into the formalization of the theory, but this book outlines it in an eminently readable... Read more

Published on December 13, 2002 by befuddled2

3.0 out of 5 stars a reference rather than a book to learn from
It's not a bad book for someone who already knows the stuff. It explains the details but not the big picture. It's great to came back to after you have understood the ideas. Read more

Published on August 3, 1999 by mszumlas@estec.esa.nl

5.0 out of 5 stars A Reader from Washington University
This book is an excelent introduction to the Galois. I recommend it for the medium levels. A student of matematics that is searching for a good lecture this summer should take... Read more

Published on July 14, 1999

5.0 out of 5 stars An excellent introduction to Galois Theory
The teacher of the class of Galois Theory I attended a few years ago was quite awful- so I'm very thankful to Ian stewart, because it's thanks to him I managed to understand a bit... Read more

Published on June 8, 1999

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