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

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. Physics is greatly facilitated by the use of Hestenes' spacetime algebra, which automatically incorporates the geometric structure of spacetime. Of Controversy in Quantum Physics. Thesis, University of Cambridge (1994). What geometric product calculation? Learn Geometric Algebra and then you won't need complex numbers anymore (for physics) .. This is demonstrated by examples from electromagnetism. Geometric Algebra and its Application to Mathematical Physics Ph.D. Ok, that's a semi-important point for the physicist; Clifford algebra is _a_ generalization of complex numbers and quaternions. As DSM notes below, I am not after the cross product calculation, but the geometric product calculation as found in geometric algebra.