On Sep 5, 7:27 am, El Pitonero <[EMAIL PROTECTED]> wrote: > > I am a bit surprised that today, September 2007, in a thread about > complex numbers, no one has mentioned about geometric algebra.
Here is a good reference for whoever is interested. It's quite accessible to general audience. http://www.xtec.es/~rgonzal1/treatise.pdf If a person spends some time to look at the geometric algebra, it will become clear that complex numbers are not that special, after all. Hopefully the relationship between the 2-d vector plane and the complex plane will also become more clear, as complex numbers can be understood as rotation-dilation operators over vectors. One also learns that complex numbers are based on a metric assumption of square of vectors (norm) being positive (a.k.a Euclidean space). There is nothing sacred about positively-defined metric, and in fact if one uses mixed signature metric (pseudo-Euclidean space), one comes up with hyperbolic numbers instead of complex numbers. -- http://mail.python.org/mailman/listinfo/python-list
