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Clifford Algebras: An Introduction
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Clifford Algebras: An Introduction Hardcover - 2011

by D. J. Garling


From the publisher

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.

Details

  • Title Clifford Algebras: An Introduction
  • Author D. J. Garling
  • Binding Hardcover
  • Pages 210
  • Volumes 1
  • Language ENG
  • Publisher Cambridge University Press
  • Date 2011-06-23
  • Illustrated Yes
  • ISBN 9781107096387 / 1107096383
  • Weight 0.95 lbs (0.43 kg)
  • Dimensions 9 x 6 x 0.6 in (22.86 x 15.24 x 1.52 cm)
  • Themes
    • Aspects (Academic): Science/Technology Aspects
  • Library of Congress subjects Clifford algebras
  • Library of Congress Catalog Number 2011284248
  • Dewey Decimal Code 512.57
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Clifford Algebras: An Introduction
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Clifford Algebras: An Introduction

by D. J. H. Garling

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Clifford Algebras: An Introduction

Clifford Algebras: An Introduction

by D. J. H. Garling

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Hardback. New. This straightforward introduction gives a self-contained account of Clifford algebras suitable for research students, final year undergraduates and working mathematicians and physicists. It includes the necessary background material about multilinear algebra, real quadratic spaces and finite-dimensional real algebras and many applications in mathematics and physics.
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Clifford Algebras: An Introduction (London Mathematical Society Student Texts)
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Clifford Algebras: An Introduction (London Mathematical Society Student Texts)

by D. J. H. Garling

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Clifford Algebras: An Introduction (London Mathematical Society Student Texts, Series Number 78)
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Clifford Algebras: An Introduction (London Mathematical Society Student Texts, Series Number 78)

by Garling, D. J. H

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