Clifford Algebras: An Introduction

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.

• Introduction; Part I. The Algebraic Environment: 1. Groups and vector spaces; 2. Algebras, representations and modules; 3. Multilinear algebra; Part II. Quadratic Forms and Clifford Algebras: 4. Quadratic forms; 5. Clifford algebras; 6. Classifying Clifford algebras; 7. Representing Clifford algebras; 8. Spin; Part III. Some Applications: 9. Some applications to physics; 10. Clifford analyticity; 11. Representations of Spind and SO(d); 12. Some suggestions for further reading; Bibliography; Glossary; Index.

'… it became clear that Garling has spotted a need for a particular type of book, and has delivered it extremely well. Of all the books written on the subject, Garling's is by some way the most compact and concise … this is a very good book which provides a balanced and concise introduction to the subject of Clifford algebras. Math students will find it ideal for quickly covering a range of algebraic properties, and physicists will find it a very handy source of reference for a variety of material.' Chris Doran, SIAM News