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Book Summary of Exploratory Galois Theory
Combining a concrete perspective with an exploration-based approach, Exploratory Galois Theory
develops Galois theory at an entirely undergraduate level. The text grounds the presentation in
the concept of algebraic numbers with complex approximations and assumes of its readers only
a first course in abstract algebra. The author organizes the theory around natural questions about
algebraic numbers, and exercises with hints and proof sketches encourage students' participation
in the development. For readers with Maple or Mathematica, the text introduces tools for
hands-on
experimentation with finite extensions of the rational numbers, enabling a familiarity never
before available to students of the subject. Exploratory Galois Theory includes classical
applications, from ruler-and-compass constructions to solvability by radicals, and also outlines the
generalization from subfields of the complex numbers to arbitrary fields. The text is appropriate
for traditional lecture courses, for seminars, or for self-paced independent study by
undergraduates and graduate students.
Details of Book: Exploratory Galois Theory
Book: | Exploratory Galois Theory |
Author: | John Swallow |
ISBN: | 0521836506 |
ISBN-13: | 9780521836500,978-0521836500 |
Binding: | Hardcover |
Publishing Date: | 2004 |
Publisher: | Cambridge University Press |
Edition: | 1st Edition |
Number of Pages: | 220 |
Language: | English |
Dimensions: | 9.52 x 7.84 x 0.86 inches |
Weight: | 617 grams |
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