Excerpt from Seven Lessons in Theory of Inversions of Order and Determinants No student should enter upon the study of analytic geom etry without an elementary knowledge of that part of the theory of determinants which treats of elimination and the so lation of simultaneous equations. This will be the more readily conceded when it is shown that such knowledge may be gained in fewer than a dozen lessons. Seven introductory lessons in theory of inversions and determinants would scarcely suffice per se to make a lasting impression upon the student; but if the elementary principles thus learned are immediately ap plied to the solution of problems in analytic geometry the good gained from such a brief course should be very consider able. In whatever manner the student be introduced to a sub ject, it is, in most cases, only by constant recurrence and many varied illustrations that the value of a process is finally realized. 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.