First published in 1893 Byerlys classic treatise on Fouriers series and spherical cylindrical and ellipsoidal harmonics has been used in classrooms for well over a century. This practical exposition acts as a primer for fields such as wave mechanics advanced engineering and mathematical physics. Topics covered include: . development in trigonometric series . convergence on Fouriers series . solution of problems in physics by the aid of Fouriers integrals and Fouriers series . zonal harmonics . s