New PDF release: Clifford Algebras: An Introduction (London Mathematical

By D. J. H. Garling

ISBN-10: 1107096383

ISBN-13: 9781107096387

ISBN-10: 1107422191

ISBN-13: 9781107422193

Clifford algebras, equipped up from quadratic areas, have functions in lots of parts of arithmetic, as average generalizations of complicated numbers and the quaternions. they're famously utilized in proofs of the Atiyah–Singer index theorem, to supply double covers (spin teams) of the classical teams and to generalize the Hilbert rework. additionally they have their position in physics, environment the scene for Maxwell's equations in electromagnetic thought, for the spin of trouble-free debris and for the Dirac equation. this simple creation to Clifford algebras makes the required algebraic history - together with multilinear algebra, quadratic areas and finite-dimensional actual algebras - simply available to investigate scholars and final-year undergraduates. the writer additionally introduces many functions in arithmetic and physics, equipping the reader with Clifford algebras as a operating instrument in quite a few contexts.

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Clifford Algebras: An Introduction (London Mathematical Society Student Texts) by D. J. H. Garling

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