Octonions (Classic Reprint): A Development of Clifford's Bi-Quaternions: A Development of Clifford's Bi-Quaternions (Classic Reprint) - Softcover
Inhaltsangabe
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.
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Octonions: A Development of Clifford's Bi-Quaternions (Classic Reprint)
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Paperback. Zustand: 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. Bestandsnummer des Verkäufers 9781332346455_0
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Octonions
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781332346455
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Octonions: A Development of Clifford's Bi-Quaterions (Classic Reprint)
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Paperback. Zustand: Brand New. 269 pages. 8.43x5.85x0.73 inches. This item is printed on demand. Bestandsnummer des Verkäufers zk1332346456
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