An Elementary Treatise on Fourier's Series and Spherical, Cylindric, and Ellipsoidal Harmonics

Download or read book An Elementary Treatise on Fourier's Series and Spherical, Cylindric, and Ellipsoidal Harmonics written by William Elwood Byerly and published by Cosimo, Inc.. This book was released on 2007-01-01 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).