Excerpt from Some Theorems on the Summation of Divergent Series: Dissertation In general it seems desirable to seek methods of summing divergent series which make the sum bear the closest possible analogy to the ordinary sum of convergent series. However, in this paper we shall be concerned only with the above restrictions, which are indeed most essential. 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.