Excerpt from Quaternions as the Result of Algebraic Operations Beginners in the subject of Quaternions are generally bewildered by the arbitrary manner in which the subject is developed. They are forcibly introduced into a new domain where the familiar rules of combination of symbols are not valid. New magnitudes are arbitrarily assumed, subject to arbitrary laws. The reader finds the logic con sistent and the results concordant with those of his previous courses, but he hardly knows why. He finds himself in a new country, but thoroughly and bewilderingly uncertain as to how he got there. It is in the attempt to avoid this uncertain journey, to lead the student from the known to the unknown by familiar steps, by steps which require no arbitrary limita tions of former laws, but merely their adaptation to new circumstances, that these class notes have grown into their present shape. 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.