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Clifford Algebras and Their Applications in Mathematical Physics (Paperback, Softcover reprint of the original 1st ed. 1986)
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Clifford Algebras and Their Applications in Mathematical Physics (Paperback, Softcover reprint of the original 1st ed. 1986)
Series: NATO Science Series C, 183
Expected to ship within 10 - 15 working days
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William Kingdon Clifford published the paper defining his
"geometric algebras" in 1878, the year before his death. Clifford
algebra is a generalisation to n-dimensional space of quaternions,
which Hamilton used to represent scalars and vectors in real
three-space: it is also a development of Grassmann's algebra,
incorporating in the fundamental relations inner products defined
in terms of the metric of the space. It is a strange fact that the
Gibbs Heaviside vector techniques came to dominate in scientific
and technical literature, while quaternions and Clifford algebras,
the true associative algebras of inner-product spaces, were
regarded for nearly a century simply as interesting mathematical
curiosities. During this period, Pauli, Dirac and Majorana used the
algebras which bear their names to describe properties of
elementary particles, their spin in particular. It seems likely
that none of these eminent mathematical physicists realised that
they were using Clifford algebras. A few research workers such as
Fueter realised the power of this algebraic scheme, but the subject
only began to be appreciated more widely after the publication of
Chevalley's book, 'The Algebraic Theory of Spinors' in 1954, and of
Marcel Riesz' Maryland Lectures in 1959. Some of the contributors
to this volume, Georges Deschamps, Erik Folke Bolinder, Albert
Crumeyrolle and David Hestenes were working in this field around
that time, and in their turn have persuaded others of the
importance of the subject."
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