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001			291888
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008			150903s2006 xxk| o |||| 0|eng d
020			_a9781846281815 _99781846281815
024	7		_a10.1007/9781846281815 _2doi
035			_avtls000343713
039		9	_a201509030355 _bVLOAD _c201405050258 _dVLOAD _y201402061203 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aQA150-272
100	1		_aHowie, John M. _eautor _9323364
245	1	0	_aFields and Galois Theory / _cby John M. Howie.
264		1	_aLondon : _bSpringer London, _c2006.
300			_ax, 225 páginas 22 ilustraciones _brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
490	0		_aSpringer Undergraduate Mathematics Series, _x1615-2085
500			_aSpringer eBooks
505	0		_aRings and Fields -- Integral Domains and Polynomials -- Field Extensions -- Applications to Geometry -- Splitting Fields -- Finite Fields -- The Galois Group -- Equations and Groups -- Some Group Theory -- Groups and Equations -- Regular Polygons -- Solutions.
520			_aThe pioneering work of Abel and Galois in the early nineteenth century demonstrated that the long-standing quest for a solution of quintic equations by radicals was fruitless: no formula can be found. The techniques they used were, in the end, more important than the resolution of a somewhat esoteric problem, for they were the genesis of modern abstract algebra. This book provides a gentle introduction to Galois theory suitable for third- and fourth-year undergraduates and beginning graduates. The approach is unashamedly unhistorical: it uses the language and techniques of abstract algebra to express complex arguments in contemporary terms. Thus the insolubility of the quintic by radicals is linked to the fact that the alternating group of degree 5 is simple - which is assuredly not the way Galois would have expressed the connection. Topics covered include: rings and fields integral domains and polynomials field extensions and splitting fields applications to geometry finite fields the Galois group equations Group theory features in many of the arguments, and is fully explained in the text. Clear and careful explanations are backed up with worked examples and more than 100 exercises, for which full solutions are provided.
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9781852339869
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-1-84628-181-5 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999			_c291888 _d291888