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Excerpt from Functions of a Complex Variable If two or more quantities are such that no one of them suf fers any restriction in regard to the values which it can assume when any values whatsoever are assigned to the others, the quantities are said to be independent. A quantity is said to be a function of another quantity or of several independent quantities if the former is determined in value whenever particular values are assigned to the latter. The quantity or quantities upon the values of which the value of the function depends, are said to be the independent vari ables of the function. A function is one-valued, or uniform, when to every set of values assigned to the independent variables there cor responds but one value of the function. It is said to be ri-valued when to every set of values of the independent variables n values of the function correspond. 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.