Quaternions as the Result of Algebraic Operations (Classic Reprint) - Softcover

Arthur Latham Baker

Softcover

ISBN 10: 1330393015 ISBN 13: 9781330393017

Publisher: Forgotten Books, 2020

Synopsis

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 consistent 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 limitations of former laws, but merely their adaptation to new circumstances, that these class notes have grown into their present shape. The backbone of the method of presentation is the use of a one-to-one correspondence between the mathematical concept and what I have ventured to call its idiographic symbol, that is, a symbol whose spatial properties are the same as the mathematical properties of the concept it symbolizes. From this similarity of properties there exists a one-to-one correspondence between the results of spatial operations upon the symbols and the corresponding mathematical operations upon the concept. 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

About this edition

• Publisher: Forgotten Books
• Publication date: 2020
• ISBN 10: 1330393015
• ISBN 13: 9781330393017
• Binding: Paperback
• Number of pages: 150