Byerly W.E. An Elementary Treatise on Fourier's Series and Spherical, Cylindrical, and Ellipsoidal Harmonics with Applications to Problems in Mathematical Physics

Ginn and Company, 1893. — 287 p.Development in Trigonometric Series.
Convergence of Fourier's Series.
Solution of Problems in Physics by the Aid of Fourier's Integrals and Fourier's Series.
Zonal Harmonics.
Spherical Harmonics.
Cylindrical Harmonics (Bessel's Functions).
Laplace's Equation in Curvilinear Coordinates. Ellipsoidal Harmonics.
Historical Summary.
Appendix.