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Exploratory Galois theory /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Exploratory Galois theory // John Swallow.
Author:	Swallow, John,
Description:	1 online resource (xii, 208 pages) :digital, PDF file(s). :
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Galois theory. -
Online resource:	https://doi.org/10.1017/CBO9780511755200
ISBN:	9780511755200 (ebook)

Exploratory Galois theory /
Swallow, John,1970-

Exploratory Galois theory /John Swallow. - 1 online resource (xii, 208 pages) :digital, PDF file(s).

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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.

ISBN: 9780511755200 (ebook)Subjects--Topical Terms:

677326
Galois theory.

LC Class. No.: QA214 / .S93 2004

Dewey Class. No.: 512/.32

Exploratory Galois theory /
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245 1 0 $a Exploratory Galois theory / $c John Swallow.
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500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
520 $a 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.
650 0 $a Galois theory. $3 677326
776 0 8 $i Print version: $z 9780521836500
856 4 0 $u https://doi.org/10.1017/CBO9780511755200