The Theory of Spherical and Ellipsoidal Harmonics

I. The Transformation of Laplace's Equation
II. The Solution of Laplace's Equation in Polar Coordinates
III. The Legendre's Associated Functions
IV. Spherical Harmonics
V. Spherical Harmonics of General Type
VI. Approximate Values of the Generalized Legendre's Functions
VII. Representation of Functions by Series
VIII. The Addition Theorems for General Legendre's Functions
IX. The Zeros of Legendre's Functions and Associated Functions
X. Harmonics for Spaces Bounded by Surfaces of Revolution
XI. Ellipsoidal Harmonics