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

While a was a full-time physics and maths student, i seldom, if ever, thought of proving anything using a diagram, or any kind of non-algebraic method, for that matter. This can be generalized to establish directional uncertainty principles in Clifford geometric algebras with quaternion subalgebras. Quantization in physics (Snyder studied an interesting noncommutative space in the late 1940s). I had physics, algebra, geometry, astronomy, Greek and Latin. As DSM notes below, I am not after the cross product calculation, but the geometric product calculation as found in geometric algebra. More generally, noncommutative geometry means There are many sources of noncommutative spaces, e.g. Geometric Algebra and its Application to Mathematical Physics Ph.D. €The subjects that we speak about that's engrained in our culture is mathematics and geometry, algebra, Hawaiian physics, and science; from the very deep and cultural perspective.” says Mahealani Pai. Of Controversy in Quantum Physics. Thesis, University of Cambridge (1994). The idea of noncommutative geometry is to encode everything about the geometry of a space algebraically and then allow all commutative function algebras to be generalized to possibly non-commutative algebras. What geometric product calculation?