國立虎尾科技大學 |

Exploratory Galois theory /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Exploratory Galois theory // John Swallow.
作者:	Swallow, John,
面頁冊數:	1 online resource (xii, 208 pages) :digital, PDF file(s). :
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Galois theory. -
電子資源:	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 /
LDR:02052nam a2200289 i 4500 001 1126573
003 UkCbUP
005 20151005020622.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 240926s2004||||enk o ||1 0|eng|d
020 $a 9780511755200 (ebook)
020 $z 9780521836500 (hardback)
020 $z 9780521544993 (paperback)
035 $a CR9780511755200
040 $a UkCbUP $b eng $e rda $c UkCbUP
050 0 0 $a QA214 $b .S93 2004
082 0 0 $a 512/.32 $2 22
100 1 $a Swallow, John, $d 1970- $e author. $3 1445475
245 1 0 $a Exploratory Galois theory / $c John Swallow.
264 1 $a Cambridge : $b Cambridge University Press, $c 2004.
300 $a 1 online resource (xii, 208 pages) : $b digital, PDF file(s).
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
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