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Geometric algebra - Wikipedia, the free encyclopedia
In mathematical physics, a geometric algebra is a multilinear algebra described technically as a Clifford algebra over a real vector space equipped with a non-degenerate quadratic form. Informally, ...
en.wikipedia.org/wiki/Geometric_algebra |
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Algebraic geometry - Wikipedia, the free encyclopedia
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Geometric algebra is a Clifford algebra which has been used with great success in the modeling of a wide variety of physical phenomena. Clifford algebra is considered a more general algebraic framework than geometric algebra.
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Geometric algebra is a very convenient representational and computational system for geometry. We firmly believe that it is going to be the way computer science deals with geometrical issues.
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Imaginary Numbers are not Real: the Geometric Algebra of Spacetime ... The Geometric Algebra (Clifford Algebra), which it defines, is the most powerful and general language available for the development of mathematical physics."
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This site is devoted primarily to the development of Geometric Calculus with many applications to modeling in physics, mostly the work of David Hestenes. A companion web site on Geometric Algebra is at the Cavendish Laboratory, University of Cambridge.
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After that I will define what a 4 geometric algebra is, and what the fundamental concepts are. This chapter is the most important as all other theory builds upon it. The following chapter will introduce some common and handy concepts which I call tools.
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