000 02191nam a22003498a 4500
001 CR9780511972997
003 UkCbUP
005 20180107143415.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 101005s2011||||enk s ||1 0|eng|d
020 _a9780511972997 (ebook)
020 _z9781107096387 (hardback)
020 _z9781107422193 (paperback)
040 _aUkCbUP
_cUkCbUP
_erda
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: An Introduction / [electronic resource]
_cD. J. H. Garling.
264 1 _aCambridge :
_bCambridge University Press,
_c2011.
300 _a1 online resource (210 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 0 _aLondon Mathematical Society Student Texts ;
_vno. 78
500 _aTitle from publisher's bibliographic system (viewed on 09 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 ;
_vno. 78.
856 4 0 _uhttp://dx.doi.org/10.1017/CBO9780511972997
_zCambridge Books Online
999 _c236705
_d236705