The second chapter "High-Dimensional Space" talks about the problem of spikey spheres[0] (how most of the mass is near the surface), I made an ipython notebook to illustrate it[1].

[0] http://www.penzba.co.uk/cgi-bin/PvsNP.py?SpikeySpheres

[1] http://nbviewer.ipython.org/urls/gist.github.com/SnippyHollo...