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 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 Alexander McAulay - Macmillan and co
Quaternions are especially useful in Physical applications. Here is the table of contents of this classical book: Introduction; Quaternion theorems; Elastic solids; Electricity and magnetism; Hydrodynamics; The vortex-atom theory.
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.