Complex Integration and Cauchy's Theorem (Classic Reprint)

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Excerpt from Complex Integration and Cauchy's Theorem My endeavour has been to place the whole theory on a definitely arithmetical basis without appealing to geometrical intuitions. With that end in View, it seemed necessary to include an account of various propositions of Analysis Sirius, on which depends the proof of the theorem in its most general form. In proving these propositions, I have followed the general course of a memoir by Ames, my indebtedness to it and to the textbooks on Analysis by Goursat and by de la Vallée Poussin Will be obvious to those who are acquainted with those works. 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.