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Galois Theory, 2nd Edition Paperback – May 15, 1990

ISBN-13: 978-0412345500 ISBN-10: 0412345501 Edition: 2nd

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Product Details

  • Paperback: 202 pages
  • Publisher: Chapman and Hall; 2 edition (May 15, 1990)
  • Language: English
  • ISBN-10: 0412345501
  • ISBN-13: 978-0412345500
  • Product Dimensions: 0.5 x 6.2 x 9.2 inches
  • Shipping Weight: 11.2 ounces
  • Average Customer Review: 4.7 out of 5 stars  See all reviews (9 customer reviews)
  • Amazon Best Sellers Rank: #1,761,438 in Books (See Top 100 in Books)

Customer Reviews

4.7 out of 5 stars
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Most Helpful Customer Reviews

12 of 12 people found the following review helpful By A Customer on April 2, 1999
Format: 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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19 of 21 people found the following review helpful By T. F. Mabbott on April 10, 2000
Format: 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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7 of 8 people found the following review helpful By A Customer on December 22, 1998
Format: Paperback Verified Purchase
At some point many mathematics majors learn that "you can't solve the quintic" and "you can't trisect an angle". The next they hear of it is in an abstract algebra course where the formalism is so overwhelming there is often very little appreciation for how Galois theory addresses these issues.
This book fills that gap. It introduces the abstract notions from a historical point of view which often gives a good complement to the usual treatment and makes the abstract definitions make more sense.
Some people have noticed a few minor errors in the proofs however, so beware.
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2 of 2 people found the following review helpful By B. P. Katz on January 30, 2010
Format: Paperback
I learned Galois Theory from this book as an undergrad in an independent study. Stewart hits the insoluability of the quintic and compass-straight edge constructions. There are a lot of steps to getting to the end, and he puts them out there without robbing the reader of the chance to be a part of the proof.
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4 of 7 people found the following review helpful By "befuddled2" on December 13, 2002
Format: Paperback
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 format, with only the basics of Modern Algebra as a prereq. If you were to buy one book on Galois theory, this is the one (Tignol's book is a close second, but focuses more on the historical development of the theory).
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