# T M MacRobert: Spherical Harmonics Contents

Thomas M MacRobert's classic text Spherical Harmonics. An Elementary Treatise on Harmonic Functions with Applications was first published by E P Dutton, London in 1927. The contents of the book are as follows

1. Fourier series.
2. Conduction of heat.
3. Transverse vibrations of stretched strings.
4. Spherical harmonics; the hypergeometric function.
5. The Legendre polynomials.
6. The Legendre functions.
7. The associated Legendre functions of integral order.
8. Applications of Legendre coefficients to potential theory.
9. Potentials of spherical shells, spheres, and spheroids.
10. Applications to electrostatics.
11. Ellipsoids of revolution.
12. Eccentric spheres.
13. Clerk Maxwell's theory of spherical harmonics.
14. Bessel functions.
15. Asymptotic expansions and Fourier-Bessel expansions.
16. Applications of Bessel functions.