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.
General
| Imprint: |
Cambridge UniversityPress
|
| Country of origin: |
United Kingdom |
| Series: |
London Mathematical Society Student Texts |
| Release date: |
June 2011 |
| First published: |
June 2011 |
| Authors: |
D.J.H. Garling
|
| Dimensions: |
226 x 147 x 10mm (L x W x T) |
| Format: |
Paperback - Trade
|
| Pages: |
210 |
| ISBN-13: |
978-1-107-42219-3 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
General
|
| LSN: |
1-107-42219-1 |
| Barcode: |
9781107422193 |
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