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Quaternions and Clifford Geometric Algebras
by Robert B. Easter - viXra.org , 2015
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 ...
Quaternions, Interpolation and Animation
by Erik B. Dam, Martin Koch, Martin Lillholm - University of Copenhagen , 1998
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.
Vector Analysis and Quaternions
by Alexander Macfarlane - John Wiley & Sons , 1906
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.
A Primer of Quaternions
by Arthur S. Hathaway - Project Gutenberg , 2006
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.
Utility of Quaternions in Physics
by Alexander McAulay - Macmillan and co , 1893
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.
Doing Physics with Quaternions
by Douglas B. Sweetser , 2005
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.