An Introduction to the Theory of Infinite Series

Download or read book An Introduction to the Theory of Infinite Series written by Thomas John I'Anson Bromwich and published by American Mathematical Soc.. This book was released on 2005 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edition consists largely of a reproduction of the first edition (which was based on lectures on Elementary Analysis given at Queen's College, Galway, from 1902-1907), with additional theorems and examples. Additional material includes a discussion of the solution of linear differential equations of the second order; a discussion of elliptic function formulae; expanded treatment of asymptomatic series; a discussion of trigonometrical series, including Stokes' transformation and Gibbs' phenomenon; and an expanded Appendix II that includes an account of Napier's invention of logarithms.