Quaternions and Clifford Geometric Algebras
by Robert B. Easter
Publisher: viXra.org 2015
Number of pages: 187
This book provides an introduction to quaternions and Clifford geometric algebras. Quaternion rotations are covered extensively. A reference manual on the entities and operations of conformal (CGA) and quadric geometric algebras (QGA) is given. The Space-Time Algebra (STA) is introduced and offers an example of its use for special relativity velocity addition.
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by Arthur Sherburne Hardy - Ginn, Heath, & co.
The object of the following treatise is to exhibit the elementary principles and notation of the Quaternion Calculus. This presentation shall afford the undergraduate student a glimpse of this elegant and powerful instrument of analytical research.
by Alexander Macfarlane - John Wiley & Sons
Contents: Addition of Coplanar Vectors; Products of Coplanar Vectors; Coaxial Quaternions; Addition of Vectors in Space; Product of Two Vectors; Product of Three Vectors; Composition of Quantities; Spherical Trigonometry; Composition of Rotations.
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This text introduces quaternions, their mathematical properties, and how they can be used to rotate objects. We introduce quaternion mathematics and discuss why quaternions are a better choice for implementing rotation than matrix implementations.
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Quaternions, like the real numbers, can be added, subtracted, multiplied, and divided. They are composed of four numbers that work together as one. This book contains a brief summary of important laws in physics written as quaternions.