02160nam a22003378a 4500001001600000003000700016005001700023006001900040007001500059008004100074020002600115020002900141020003000170040002400200050002200224082001500246100003200261245008200293264005200375300005900427336002600486337002600512338003600538490005600574500007300630520093400703650002201637776003501659830005701694856007101751CR9780511972997UkCbUP20180107143415.0m|||||o||d||||||||cr||||||||||||101005s2011||||enk     s     ||1 0|eng|d  a9780511972997 (ebook)  z9781107096387 (hardback)  z9781107422193 (paperback)  aUkCbUPcUkCbUPerda00aQA199 b.G37 201100a512.572221 aGarling, D. J. H.,eauthor.10aClifford Algebras: An Introduction / [electronic resource]cD. J. H. Garling. 1aCambridge :bCambridge University Press,c2011.  a1 online resource (210 pages) :bdigital, PDF file(s).  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier0 aLondon Mathematical Society Student Texts ;vno. 78  aTitle from publisher's bibliographic system (viewed on 09 Oct 2015).  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. 0aClifford algebras08iPrint version: z9781107096387 0aLondon Mathematical Society Student Texts ;vno. 78.40uhttp://dx.doi.org/10.1017/CBO9780511972997zCambridge Books Online