To help me 'get a handle on' summation notation I have compiled this simple page of examples of what it actually means, in long hand.

Some exercises around complex numbers can be found here. I am currently working slowly through a fantastic book called Visual Complex Analysis by Tristan Needham. I highly recommend this book. It has introduced me to the joy of the Euler equation:

Coming 'soon', easy to understand explorations of:

where v is the kinematic viscosity, u is the velocity of the fluid parcel, P is the pressure, and p is the fluid density.

The marvelous Gamma function acts as the factorial function for the real numbers (x+1)

What's this all about then?

The backgrounds for this web site are made of various different types of fractal which are purely a mathematical discovery (or 'invention' if you prefer).

I bet lots of people are wondering how to find a square root using only paper and pen. As luck would have it there is a web site with a useful guide.

Mathworld is a wonderful source of mathematical knowledge (as is wikipaedia) Wikipaedia has the added advantage of not trying to sell you stuff. There are numerous web sites relating to mathematical subjects such as this one on topology.

Here are some mathsy type images:

and

using a computer program called Mathematica. Fantastic.

Here are some generated using Ultrafractal

There are some fantastic images on the web, I found a couple of good fractal image web sites while looking for some desktop backgrounds for my Linux install. One great site is the exoteric.roach.org. Another great image site is full of images of flame fractals and best of all is a web site dedicated to movies of fractal dream sheep.