Quaternions, Interpolation and Animation
by Erik B. Dam, Martin Koch, Martin Lillholm
Publisher: University of Copenhagen 1998
Number of pages: 103
The main topics of this technical report are 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 the well-known matrix implementations.
Download or read it online for free here:
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.
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 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.