Clifford Algebras: An Introduction

By:

D.J.H. Garling

Format:

Paperback / softback

Series:

London Mathematical Society Student Texts

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Description

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.

Author Biography:

D. J. H. Garling is a Fellow of St John's College and Emeritus Reader in Mathematical Analysis at the University of Cambridge, in the Department of Pure Mathematics and Mathematical Statistics.

Release date NZ

June 23rd, 2011

Author

D.J.H. Garling

Audience

Professional & Vocational

Illustrations

Worked examples or Exercises

Pages

210

Series

London Mathematical Society Student Texts

Dimensions

147x226x10

ISBN-13

9781107422193

Product ID

10372363

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