Excerpt from The Messenger of Mathematics, Vol. 43: May, 1913 April, 1914 See also Briosclii's attempt, in 1855, in Crelle's Journ, vol. 1ii., pp. 133 - 141 and my commentary on it in the Mess. Of Math vol. Xxxvii., pp. 107 - 111. T Orders of infinity, ' Comb. Jfath. Tracts, No. 12; Properties of logarithmico exponential functions, Prnc. Lond. Math. Soc vol. X., p. 54; Oscillating birichlet's Integrals, Quarterly Journal, vol. Xliv., p. 1.10 Mr. Hardy, On some points in tbe integral calculus. 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.