Read e-book online Clifford Algebras: An Introduction (London Mathematical PDF

By D. J. H. Garling

ISBN-10: 1107096383

ISBN-13: 9781107096387

ISBN-10: 1107422191

ISBN-13: 9781107422193

Clifford algebras, outfitted up from quadratic areas, have functions in lots of components of arithmetic, as typical generalizations of advanced 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 idea, for the spin of simple debris and for the Dirac equation. this easy creation to Clifford algebras makes the required algebraic heritage - together with multilinear algebra, quadratic areas and finite-dimensional genuine algebras - simply obtainable to analyze 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 various contexts.

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

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