Geometric Algebra for Physicists. Anthony Lasenby, Chris Doran

Geometric Algebra for Physicists


Geometric.Algebra.for.Physicists.pdf
ISBN: 0521480221,9780521480222 | 589 pages | 15 Mb


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Geometric Algebra for Physicists Anthony Lasenby, Chris Doran
Publisher: Cambridge University Press




MSC classes: Primary 42A38, Secondary 11R52. This Demonstration displays the classification of real Clifford algebras, making the eightfold periodicity manifest by mapping it onto a clock created from the eight trigrams used in the I Ching. Clifford, "On the Classification of Geometric Algebras," Mathematical Papers of W. Journal reference: Advances in Applied Clifford Algebras, olume 17, Issue 3 , pp. "Clifford Algebras in Physics." (2005) http://arxiv.org/ abs/hep-th/0506011. But you can see more of the same stuff by looking at what David Hestenes writes about geometric algebra, which is Clifford algebra with a physics interpretation, and related to the spacetime manifold. Baez, "Octonions," Bulletin of the American Mathematical Society, 39, 2002 pp. Thesis used the branch of math he helped develop, which is known either as Clifford algebra or (the term he preferred) geometry algebra. Physics is greatly facilitated by the use of Hestenes' spacetime algebra, which automatically incorporates the geometric structure of spacetime. Published because about 75% of my Ph.D. This is demonstrated by examples from electromagnetism. RA); Computer Vision and Pattern Recognition (cs.CV); Mathematical Physics (math-ph). Geometric Algebra for Physicists: Chris Doran, Anthony Lasenby: 9780521715959Stellar Evolution Physics, Vol. Clifford: The Geometry of Physics.

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