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EbookBell Team
4.3
98 reviews
ISBN 10: 0521544998
ISBN 13: 9780521544993
Author: John Swallow
Combining a concrete perspective with an exploration-based approach, this analysis develops Galois theory at an entirely undergraduate level. The text grounds the presentation in the concept of algebraic numbers with complex approximations and only requires knowledge of a first course in abstract algebra. It introduces tools for hands-on experimentation with finite extensions of the rational numbers for readers with Maple or Mathematica.
1. Preliminaries
2. Algebraic numbers, field extensions, and minimal polynomials
3. Working with algebraic numbers, field extensions, and minimal polynomials
4. Multiply-generated fields
5. The Galois correspondence
6. Some classical topics
exploratory galois theory
open problems in galois theory
galois theory examples
galois theory explained
galois theory applications
Tags: John Swallow, Exploratory, Galois
