Regular geometry, the geometry of Euclid, is concerned with shapes which are smooth, except perhaps for corners and lines, special lines which are singularities, but some shapes in nature are so complicated that they are equally complicated at the big scale and come closer and closer and they don't become any less complicated.

If you have a hammer, use it everywhere you can, but I do not claim that everything is fractal.

Being a language, mathematics may be used not only to inform but also, among other things, to seduce.

The theory of probability is the only mathematical tool available to help map the unknown and the uncontrollable. It is fortunate that this tool, while tricky, is extraordinarily powerful and convenient.

Bottomless wonders spring from simple rules, which are repeated without end.

I didn't want to become a pure mathematician, as a matter of fact, my uncle was one, so I knew what the pure mathematician was and I did not want to be a pure - I wanted to do something different.

Think of color, pitch, loudness, heaviness, and hotness. Each is the topic of a branch of physics