Octonions (Classic Reprint): A Development of Clifford's Bi-Quaternions: A Development of Clifford's Bi-Quaternions (Classic Reprint) - Softcover

McAulay, Alexander Georgina

9781332346455: Octonions (Classic Reprint): A Development of Clifford's Bi-Quaternions: A Development of Clifford's Bi-Quaternions (Classic Reprint)

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ISBN 10: 1332346456 ISBN 13: 9781332346455

Verlag: Forgotten Books, 2018

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Excerpt from Octonions

Most of the methods and some of the results which follow are to some extent, I believe, novel. But I fear that many references to the work of others which ought to occur are wanting. The treatise was written at a distance from all mathematical libraries. I believe I should have been able to improve it in many respects if I had been able to consult the many authorities cited by Sir Robert Ball in his Theory of Screws.

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Excerpt from Octonions: A Development of Clifford's Bi-Quaternions

Most of the methods and some of the results which follow are to some extent, I believe, novel. But I fear that many references to the work of others which ought to occur are wanting. The treatise was written at a distance from all mathematical libraries. I believe I should have been able to improve it in many respects if I had been able to consult the many authorities cited by Sir Robert Ball in his Theory of Screws.

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.

Rese�a del editor

Excerpt from Octonions: A Development of Clifford's Bi-Quaterions

I owe a great debt of gratitude to an old pupil for the results of a casual conversation I had with him some six or seven years ago. On that occasion Mr P. a M. Parker discoursed of rotors and motors in such wise that it seemed to his tutor high time to rub the dust from the volume of Clifford's Mathematical Papers lying on the shelves; for otherwise the tutor and pupil bade fair to change places. Many days of most interesting work and thought have been the sequel of that talk within the walls of Ormond College.

The treatment below of what Clifford called Bi-quaternions runs on two sharply-defined lines. Quaternions and the Ausdehnungslehre have both been pressed into the service, and the help from them has led to very different kinds of development. Neither development could, in my opinion, be well spared. The first seems to be allied to metrical geometry and the second to descriptive. At any rate I do not see how, in few words, better to describe the essential characteristics of the two. For more precise ideas the reader must study the subject itself.

So far as the present treatise is concerned, these developments took place in two periods. I had done what I could on the quaternion model, but being dissatisfied because so many questions which presented themselves were thereby but imperfectly answered, I put the work aside.

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.

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