000			02157nam a22003258i 4500
001			CR9780511755200
003			UkCbUP
005			20200124160253.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			100422s2004||||enk o ||1 0|eng|d
020			_a9780511755200 (ebook)
020			_z9780521836500 (hardback)
020			_z9780521544993 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA214 _b.S93 2004
082	0	0	_a512/.32 _222
100	1		_aSwallow, John, _d1970- _eauthor.
245	1	0	_aExploratory Galois theory / _cJohn Swallow.
264		1	_aCambridge : _bCambridge University Press, _c2004.
300			_a1 online resource (xii, 208 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520			_aCombining 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	_aGalois theory.
776	0	8	_iPrint version: _z9780521836500
856	4	0	_uhttps://doi.org/10.1017/CBO9780511755200
999			_c519702 _d519700