Excerpt from Functions of a Complex Variable, Vol. 3 As these students often do not intend to specialize in mathe maties, many topics which might properly find a place in a first course in the function theory have not been treated; for example, Riemann's surfaces. On the other hand the author, having in mind the needs of students of applied mathematics, has dwelt at some length on the theory of linear differential equations, especially as regards the functions of Legendre, Laplace, Bessel, and Lame. As a Splendid application of the principles of the function theory and also on account of their intrinsic value, three chapters have been devoted to the elliptic functions. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.