Chapter 11
Separation of variables in three dimensions

We have up to now concentrated on 2D problems, but a lot of physics is three dimensional, and often we have spherical symmetry – that means symmetry for rotation over any angle. In these cases we use spherical coordinates, as indicated in figure 7.3.

 11.1 Modelling the eye
 11.2 Properties of Legendre polynomials
  11.2.1 Generating function
  11.2.2 Rodrigues’ Formula
  11.2.3 A table of properties
 11.3 Fourier-Legendre series
 11.4 Modelling the eye–revisited