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

Alexander McAulay

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

Couverture souple

ISBN 10 : 1332346456 ISBN 13 : 9781332346455

Editeur : Forgotten Books, 2018

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Explore the roots and rules of Octonions in a self-contained, historically informed treatment. This edition develops Clifford’s bi-quaternions into a broader framework, offering clear definitions, explanations, and a practical path through a complex mathematical landscape. It reveals how early ideas evolved into a unified algebraic system while staying grounded in Euclidean geometry.

The work presents a careful preface on its aims, methods, and historical context, then lays out a comprehensive glossary of terms. You’ll find formal quaternion concepts, vector and scalar octonions, and the various motors, rotors, and translators that make the octonion world tick. The text also discusses how octonions relate to quaternions, and why the author chose the name Octonions for this subject.

What you’ll experience in this book:
- A structured introduction to the terminology and basic objects, from axioms to operators.
- A guided pathway through the main constructions: rotor, lator, convertor, and their roles in octonions.
- Connections to Screws theory and other established ideas, with practical examples and cautions.
- Reflections on historical development, method, and the author’s editorial decisions.

Ideal for readers who enjoy mathematical history, foundational algebra, and the development of higher-dimensional number systems. It’s especially suited to those seeking a self-contained, carefully argued exploration of octonions and their relation to quaternions.

Les informations fournies dans la section � Synopsis � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteur: Forgotten Books
Date d'�dition: 2018
Langue: anglais
ISBN 10: 1332346456
ISBN 13: 9781332346455
Reliure: Broch�
Nombre de pages: 269
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Octonions: A Development of Clifford's Bi-Quaternions (Classic Reprint)

Alexander McAulay

Edit� par Forgotten Books, 2018

ISBN 10 : 1332346456 ISBN 13 : 9781332346455

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Vendeur : Forgotten Books, London, Royaume-Uni

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Paperback. Etat : New. Print on Demand. This book delves into the fascinating world of quaternions, a mathematical system developed by Sir William Rowan Hamilton in the 19th century. The author explores the potential of quaternions to offer new and unexpected interpretations of geometrical concepts, going beyond their traditional applications. The book examines the fundamental laws of quaternions, separating them from their usual geometrical interpretations. This allows the author to explore a new system of symbols called "octonions," which involve a doubling of the ordinary scalars used in the traditional quaternion system. The author skillfully connects their work to the influential "Ausdehnungslehre" by Hermann Grassmann, another 19th-century mathematical system. This connection provides a powerful framework for further investigating the properties of octonions and their applications to geometry and physics. The book's unique perspective on quaternions and octonions, along with its insightful connections to Grassmann's work, makes a significant contribution to the understanding of these powerful mathematical tools. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. N� de r�f. du vendeur 9781332346455_0

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