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Clifford Algebras: An Introduction: 78 (London Mathematical Society Student Texts, Series Number 78) - Hardcover
Synopsis
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.
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About the Author
D. J. H. Garling is a Fellow of St John's College and Emeritus Reader in Mathematical Analysis at the University of Cambridge, in the Department of Pure Mathematics and Mathematical Statistics.
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Clifford Algebras : An Introduction
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Clifford Algebras: An Introduction (Hardcover)
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Hardcover. Condition: new. Hardcover. 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. 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. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9781107096387
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Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 algebr. Seller Inventory # 447215726
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Hardcover. Condition: new. Hardcover. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9781107096387
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