First published in 1893, Byerly's classic treatise on Fourier's 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 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)

. and more.

Containing 190 exercises and a helpful appendix, this reissue of Fourier's Series will be welcomed by students of higher mathematics everywhere.

American mathematician WILLIAM ELWOOD BYERLY (1849-1935) also wrote Elements of Differential Calculus (1879) and Elements of Integral Calculus (1881).