000			02143nam a22003498i 4500
001			CR9780511972997
003			UkCbUP
005			20200124160221.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			101005s2011||||enk o ||1 0|eng|d
020			_a9780511972997 (ebook)
020			_z9781107096387 (hardback)
020			_z9781107422193 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA199 _b.G37 2011
082	0	0	_a512.57 _222
100	1		_aGarling, D. J. H., _eauthor.
245	1	0	_aClifford algebras : _ban introduction / _cD.J.H. Garling.
264		1	_aCambridge : _bCambridge University Press, _c2011.
300			_a1 online resource (vii, 200 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aLondon Mathematical Society student texts ; _v78
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520			_aClifford algebras, built up from quadratic spaces, have applications in many areas of mathematics, as natural generalizations of complex numbers and the quaternions. They are famously used in proofs of the Atiyah-Singer index theorem, to provide double covers (spin groups) of the classical groups and to generalize the Hilbert transform. They also have their place in physics, setting the scene for Maxwell's equations in electromagnetic theory, for the spin of elementary particles and for the Dirac equation. This straightforward introduction to Clifford algebras makes the necessary algebraic background - including multilinear algebra, quadratic spaces and finite-dimensional real algebras - easily accessible to research students and final-year undergraduates. The author also introduces many applications in mathematics and physics, equipping the reader with Clifford algebras as a working tool in a variety of contexts.
650		0	_aClifford algebras.
776	0	8	_iPrint version: _z9781107096387
830		0	_aLondon Mathematical Society student texts ; _v78.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511972997
999			_c516718 _d516716