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.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.