Excerpt from Elementary Theorems Relating to Determinants The variety of problems to which the Theory of Determinants has recently been applied renders it desirable that this branch of analysis should be made generally accessible. But although the principal theorems are familiar to the more advanced mathematicians, there has hitherto been no elementary work upon the subject, to which reference can be readily made by the student. The Theory is neither lengthy nor intricate, being in fact little else than a method of arrangement, by means of which the results of certain long algebraic processes may be discovered Without actually effecting the operations; and indeed, with the exception of a few theorems relating to the addition, multiplication, &c. Of determinants, it may be said to consist entirely in its application. Like all similar calculi, it may be carried out into very numerous details 5 but although this has not been attempted in the present investigations, the principal modifications of form and varieties of combination have been noticed, and the theorems throughout illustrated by examples. 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.