A straightforward introduction to Clifford algebras, providing the necessary background material and many applications in mathematics and physics. The book under review, itself an Introduction, is another entry in the excellent Garling hits Clifford algebras proper and proceeds with the. : Clifford Algebras: An Introduction (London Mathematical Society Student Texts) () by D. J. H. Garling and a great selection of.
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Description A straightforward introduction to Clifford algebras, providing the necessary background material and many applications in mathematics and physics. 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 algebraas, 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.
Gagling author also introduces many applications in mathematics and physics, equipping the reader with Clifford algebras as a working tool in a variety of contexts. Grand Eagle Retail is the ideal place for all your shopping needs! With fast shipping, low prices, friendly service and over 1, in stock items – you’re bound to find what you want, at a price you’ll love!
London Mathematical Society Student Texts: Clifford Algebras: An Introduction Series Number 78
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Clifford Algebras: An Introduction – D. J. H. Garling – Google Books
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