000			03206nam a22004335i 4500
001			978-0-85729-710-5
003			DE-He213
005			20251006084446.0
007			cr nn 008mamaa
008			110531s2011 xxk| s |||| 0|eng d
020			_a9780857297105
020			_a99780857297105
024	7		_a10.1007/978-0-85729-710-5 _2doi
082	0	4	_a510 _223
100	1		_aReventós Tarrida, Agustí. _eauthor.
245	1	0	_aAffine Maps, Euclidean Motions and Quadrics _h[electronic resource] / _cby Agustí Reventós Tarrida.
264		1	_aLondon : _bSpringer London, _c2011.
300			_aXVIII, 458p. 49 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aSpringer Undergraduate Mathematics Series, _x1615-2085
505	0		_aAffine Spaces -- Affinities -- Classification of Affinities -- Classification of Affinities in Arbitrary Dimension -- Euclidean Affine Spaces -- Euclidean motions -- Euclidean Motions of the Line, the Plane and of Space -- Affine Classification of Real Quadrics -- Orthogonal Classification of Quadrics -- Appendices.
520			_aAffine geometry and quadrics are fascinating subjects alone, but they are also important applications of linear algebra. They give a first glimpse into the world of algebraic geometry yet they are equally relevant to a wide range of disciplines such as engineering. This text discusses and classifies affinities and Euclidean motions culminating in classification results for quadrics. A high level of detail and generality is a key feature unmatched by other books available. Such intricacy makes this a particularly accessible teaching resource as it requires no extra time in deconstructing the author's reasoning. The provision of a large number of exercises with hints will help students to develop their problem solving skills and will also be a useful resource for lecturers when setting work for independent study. Affinities, Euclidean Motions and Quadrics takes rudimentary, and often taken-for-granted, knowledge and presents it in a new, comprehensive form. Standard and non-standard examples are demonstrated throughout and an appendix provides the reader with a summary of advanced linear algebra facts for quick reference to the text. All factors combined, this is a self-contained book ideal for self-study that is not only foundational but unique in its approach.' This text will be of use to lecturers in linear algebra and its applications to geometry as well as advanced undergraduate and beginning graduate students.
650		0	_aMATHEMATICS.
650		0	_aALGEBRA.
650	1	4	_aMATHEMATICS.
650	2	4	_aMATHEMATICS, GENERAL.
650	2	4	_aALGEBRA.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780857297099
830		0	_aSpringer Undergraduate Mathematics Series, _x1615-2085
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-85729-710-5 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c60108 _d60108