Introduction to Infinitesimal Analysis

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Excerpt from Introduction to Infinitesimal Analysis: Functions of One Real VariableWhen this work was undertaken there was no convenient source in English containing a rigorous and systematic treat ment of the body of theorems usually included in even an ele mentary course on real functions, and it was necessary to refer to the French and German treatises. Since then one treatise, at least, has appeared in English on the Theory of Functions of Real Variables. Nevertheless it is hoped that the present volume, on account of its conciseness, will supply a real want.The authors are much indebted to Professor E. H. Moore of the University of Chicago for many helpful criticisms and suggestions, to Mr. E. B. Morrow of Princeton University for reading the manuscript and helping prepare the cuts, and to Professor G. A. Bliss of Princeton, who has suggested several desirable changes while reading the proof-sheets.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis 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.