02191nam a22003498a 4500 CR9780511972997 UkCbUP 20180107143415.0 m|||||o||d|||||||| cr|||||||||||| 101005s2011||||enk s ||1 0|eng|d 9780511972997 (ebook) 9781107096387 (hardback) 9781107422193 (paperback) UkCbUP UkCbUP rda QA199 .G37 2011 512.57 22 Garling, D. J. H., author. Clifford Algebras: An Introduction / [electronic resource] D. J. H. Garling. Cambridge : Cambridge University Press, 2011. 1 online resource (210 pages) : digital, PDF file(s). text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society Student Texts ; no. 78 Title from publisher's bibliographic system (viewed on 09 Oct 2015). Clifford 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. Clifford algebras Print version: 9781107096387 London Mathematical Society Student Texts ; no. 78. http://dx.doi.org/10.1017/CBO9780511972997 Cambridge Books Online 236705 236705