Clifford Algebras: An Introduction

Informationen zum Autor 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. Klappentext A straightforward introduction to Clifford algebras, providing the necessary background material and many applications in mathematics and physics. Zusammenfassung This straightforward introduction gives a self-contained account of Clifford algebras suitable for research students! final year undergraduates and working mathematicians and physicists. It includes the necessary background material about multilinear algebra! real quadratic spaces and finite-dimensional real algebras and many applications in mathematics and physics. Inhaltsverzeichnis 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.

Product details

• Authors: D J H Garling, D. J. H. Garling, D. J. H. (University of Cambridge) Garling
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 23.06.2011
• EAN: 9781107422193
• ISBN: 978-1-107-42219-3
• No. of pages: 210
• Series: London Mathematical Society Student Texts; London Mathematical Society St; London Mathematical Society Student Texts
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra