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

What geometric product calculation? I quote the prologue to David Hestenes' Primer on Geometric Algebra for introductory mathematics and physics. Thesis used the branch of math he helped develop, which is known either as Clifford algebra or (the term he preferred) geometry algebra. 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. Before that I should say a bit more about Clifford algebras. Currently teaching Math to high school,middle school students and students preparing SAT,ACT,ASVAB Exams. Published because about 75% of my Ph.D. Clifford Algebra to Geometric Calculus: A Unified Language for Mathematics and Physics book download D. For these students, algebra and calculus are all syntax and no semantics. Here's a lovely quote that students will empathize with:"A recent study on the use of vectors by introductory physics students summarized the conclusions in two words: "vector avoidance". As DSM notes below, I am not after the cross product calculation, but the geometric product calculation as found in geometric algebra. This is demonstrated by examples from electromagnetism. Taught Business Statistics to Business Students. Physics is greatly facilitated by the use of Hestenes' spacetime algebra, which automatically incorporates the geometric structure of spacetime. Clifford: The Geometry of Physics. These are an important tool in many branches of mathematics - algebraic topology, K-theory, representation theory and in theoretical physics.