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Clifford Algebras: An Introduction By D. J. H. Garling (University of Cambridge)

Clifford Algebras: An Introduction
by D. J. H. Garling (University of Cambridge)

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£25.99
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.
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Clifford Algebras: An Introduction Summary


Clifford Algebras: An Introduction by D. J. H. Garling (University of Cambridge)

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.

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Clifford Algebras: An Introduction Reviews


'... 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
"This is a notable book that constitutes a valuable addition to the library of anyone interested in the study of Clifford algebras and their applications. The book is written in a concise way and provides a precises introduction to the old and new developments concerning Clifford's ideas. It can be used by either students or researchers in mathematics or physics who want to master this important subject." Pierre Angles, Mathematical Reviews
"... 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

About D. J. H. Garling (University of Cambridge)


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.

Table of Contents


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.

Additional information

GOR010199274
Clifford Algebras: An Introduction by D. J. H. Garling (University of Cambridge)
D. J. H. Garling (University of Cambridge)
London Mathematical Society Student Texts
Used - Very Good
Paperback
Cambridge University Press
2011-06-23
210
1107422191
9781107422193
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in very good condition, but if you are not entirely satisfied please get in touch with us.