000			03222nam a22004575i 4500
001			978-0-387-28917-5
003			DE-He213
005			20250710083943.0
007			cr nn 008mamaa
008			100301s2006 xxu| s |||| 0|eng d
020			_a9780387289175 _a99780387289175
024	7		_a10.1007/0-387-28917-8 _2doi
082	0	4	_a512.3 _223
100	1		_aWeintraub, Steven H. _eauthor.
245	1	0	_aGalois Theory _h[recurso electrónico] / _cby Steven H. Weintraub.
264		1	_aNew York, NY : _bSpringer New York, _c2006.
300			_aXIII, 190 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aUniversitext
505	0		_ato Galois Theory -- Field Theory and Galois Theory -- Development and Applications of Galois Theory -- Extensions of the field of Rational Numbers -- Further Topics in Field Theory.
520			_aClassical Galois theory is a subject generally acknowledged to be one of the most central and beautiful areas in pure mathematics. This text develops the subject systematically and from the beginning, requiring of the reader only basic facts about polynomials and a good knowledge of linear algebra. Key topics and features of this book: - Approaches Galois theory from the linear algebra point of view, following Artin - Develops the basic concepts and theorems of Galois theory, including algebraic, normal, separable, and Galois extensions, and the Fundamental Theorem of Galois Theory - Presents a number of applications of Galois theory, including symmetric functions, finite fields, cyclotomic fields, algebraic number fields, solvability of equations by radicals, and the impossibility of solution of the three geometric problems of Greek antiquity - Excellent motivaton and examples throughout The book discusses Galois theory in considerable generality, treating fields of characteristic zero and of positive characteristic with consideration of both separable and inseparable extensions, but with a particular emphasis on algebraic extensions of the field of rational numbers. While most of the book is concerned with finite extensions, it concludes with a discussion of the algebraic closure and of infinite Galois extensions. Steven H. Weintraub is Professor and Chair of the Department of Mathematics at Lehigh University. This book, his fifth, grew out of a graduate course he taught at Lehigh. His other books include Algebra: An Approach via Module Theory (with W. A. Adkins).
650		0	_aMATHEMATICS.
650		0	_aFIELD THEORY (PHYSICS).
650		0	_aGROUP THEORY.
650		0	_aNUMBER THEORY.
650	1	4	_aMATHEMATICS.
650	2	4	_aFIELD THEORY AND POLYNOMIALS.
650	2	4	_aGROUP THEORY AND GENERALIZATIONS.
650	2	4	_aNUMBER THEORY.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387287256
830		0	_aUniversitext
856	4	0	_uhttp://dx.doi.org/10.1007/0-387-28917-8 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c56888 _d56888