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 S. Hathaway - Project Gutenberg
The book is prepared for average students with a thorough knowledge of the elements of algebra and geometry, and is believed to be a simple and elementary treatment founded directly upon the fundamental ideas of the subject.
by Douglas B. Sweetser
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.
by Erik B. Dam, Martin Koch, Martin Lillholm - University of Copenhagen
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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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.