000			05192cam a2200709 a 4500
001			ocn775780317
003			OCoLC
005			20171115113716.0
006			m o d
007			cr |||||||||||
008			120208s2012 nju ob 001 0 eng
010			_a 2012005885
020			_a9781118336670 _q(epdf)
020			_a1118336674 _q(epdf)
020			_a9781118336847 _q(epub)
020			_a1118336844 _q(epub)
020			_a9781118336830 _q(mobi)
020			_a1118336836 _q(mobi)
020			_a9781118336816 _q(electronic bk.)
020			_a111833681X _q(electronic bk.)
020			_z9781118091395 _q(hardback)
020			_z1118091396
020			_z9781280678981
020			_z1280678984
029	1		_aDEBBG _bBV040884232
029	1		_aDEBBG _bBV041912195
029	1		_aDEBSZ _b37274043X
029	1		_aDEBSZ _b397258976
029	1		_aDEBSZ _b43110817X
029	1		_aDEBSZ _b449291219
029	1		_aNZ1 _b14690895
029	1		_aNZ1 _b15340796
035			_a(OCoLC)775780317 _z(OCoLC)794663366 _z(OCoLC)795894775 _z(OCoLC)795913964 _z(OCoLC)813932535 _z(OCoLC)817086270 _z(OCoLC)872574879
037			_a10.1002/9781118336816 _bWiley InterScience _nhttp://www3.interscience.wiley.com
037			_aA350873F-43FE-469B-BF3D-1BC1A3E2E2F7 _bOverDrive, Inc. _nhttp://www.overdrive.com
040			_aDLC _beng _epn _cDLC _dN$T _dMERUC _dEBLCP _dIDEBK _dUIU _dDG1 _dE7B _dYDXCP _dCOO _dDEBSZ _dCDX _dTEFOD _dNLGGC _dUKDOC _dOCLCF _dDEBBG _dTEFOD _dOCLCQ
042			_apcc
049			_aMAIN
050	0	0	_aQA214
072		7	_aMAT _x002040 _2bisacsh
082	0	0	_a512/.32 _223
084			_aMAT003000 _2bisacsh
100	1		_aNewman, Stephen C., _d1952-
245	1	2	_aA classical introduction to Galois theory / _cStephen C. Newman. _h[electronic resource]
260			_aHoboken, N.J. : _bWiley, _c2012.
300			_a1 online resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
504			_aIncludes bibliographical references and index.
505	0		_aA CLASSICAL INTRODUCTION TO GALOIS THEORY; CONTENTS; PREFACE; 1 CLASSICAL FORMULAS; 1.1 Quadratic Polynomials; 1.2 Cubic Polynomials; 1.3 Quartic Polynomials; 2 POLYNOMIALS AND FIELD THEORY; 2.1 Divisibility; 2.2 Algebraic Extensions; 2.3 Degree of Extensions; 2.4 Derivatives; 2.5 Primitive Element Theorem; 2.6 Isomorphism Extension Theorem and Splitting Fields; 3 FUNDAMENTAL THEOREM ON SYMMETRIC POLYNOMIALS AND DISCRIMINANTS; 3.1 Fundamental Theorem on Symmetric Polynomials; 3.2 Fundamental Theorem on Symmetric Rational Functions; 3.3 Some Identities Based on Elementary Symmetric Polynomials.
520			_a"This book provides an introduction to Galois theory and focuses on one central theme - the solvability of polynomials by radicals. Both classical and modern approaches to the subject are described in turn in order to have the former (which is relatively concrete and computational) provide motivation for the latter (which can be quite abstract). The theme of the book is historically the reason that Galois theory was created, and it continues to provide a platform for exploring both classical and modern concepts. This book examines a number of problems arising in the area of classical mathematics, and a fundamental question to be considered is: For a given polynomial equation (over a given field), does a solution in terms of radicals exist? That the need to investigate the very existence of a solution is perhaps surprising and invites an overview of the history of mathematics. The classical material within the book includes theorems on polynomials, fields, and groups due to such luminaries as Gauss, Kronecker, Lagrange, Ruffini and, of course, Galois. These results figured prominently in earlier expositions of Galois theory, but seem to have gone out of fashion. This is unfortunate since, aside from being of intrinsic mathematical interest, such material provides powerful motivation for the more modern treatment of Galois theory presented later in the book. Over the course of the book, three versions of the Impossibility Theorem are presented: the first relies entirely on polynomials and fields, the second incorporates a limited amount of group theory, and the third takes full advantage of modern Galois theory. This progression through methods that involve more and more group theory characterizes the first part of the book. The latter part of the book is devoted to topics that illustrate the power of Galois theory as a computational tool, but once again in the context of solvability of polynomial equations by radicals"-- _cProvided by publisher.
588	0		_aPrint version record and CIP data provided by publisher.
650		0	_aGalois theory.
650		4	_aMathematics.
650		7	_aMATHEMATICS _xApplied. _2bisacsh
650		7	_aGalois theory. _2fast _0(OCoLC)fst00937326
655		4	_aElectronic books.
776	0	8	_iPrint version: _aNewman, Stephen C., 1952- _tClassical introduction to Galois theory. _dHoboken, N.J. : Wiley, 2012 _z9781118091395 _w(DLC) 2011053469
856	4	0	_uhttp://onlinelibrary.wiley.com/book/10.1002/9781118336816 _zWiley Online Library
942			_2ddc _cBK
999			_c205579 _d205579