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6 of 6 people found the following review helpful:
5.0 out of 5 stars
The easiest introduction to field extensions I've read,
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This review is from: Abstract Algebra and Famous Impossibilities (Universitext) (Paperback)
This is the easiest-to-read introduction to abstract algebra and, in particular, field extensions, that I have ever seen. It is easier to follow than Artin's famous little book, and has easy but useful problems to allow you to check your understanding.This material is developed in order to explain the questions of how to prove that certain famously unsolved problems of geometry (a general Euclidean method for trisecting an arbitrary angle, constructing a square with the area of a given circle) are actually unsolvable. It also addresses the question of the transcendence of Euler's number (e). The first problem is handled by understanding the abstract algebra of geometrical constructions; the second goes further into analysis as well; and I haven't finished reading the discussion on the third problem. Admittedly, the learning curve rises rather rapidly on the last two problems! However, the book is worth reading even for the first problem alone, and as an introduction to abstract algebra. |
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Abstract Algebra and Famous Impossibilities (Universitext) by Arthur Jones (Paperback - September 24, 1991)
$74.95 $60.14
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