Quaternions and rotation sequences
Subtitle: a primer with applications to orbits, aerospace, and virtual reality
By: Jack B. Kuipers.
Publisher: Princeton University Press
Published: 1999
Place of publication: Princeton, N.J
Language: eng
Number of pages: 371
Subjects: Quaternions.
Description: "Ever since the Irish mathematician William Rowan Hamilton introduced quaternions in the nineteenth century - a feat he celebrated by carving the founding equations into a stone bridge - mathematicians and engineers have been fascinated by these mathematical objects. Today, they are used in applications as various as describing the geometry of spacetime, guiding the Space Shuttle, and developing computer applications for virtual reality. In this book, Jack B.

Kuipers introduces quaternions for scientists and engineers who have not encountered them before and shows how they can be used in a variety of practical situations."--BOOK JACKET.
Notes: Includes bibliographical references (p. 365-366) and index.
Table of contents: title: 1	Historical Matters	3; title: 2	Algebraic Preliminaries	13; title: 3	Rotations in 3-space	45; title: 4	Rotation Sequences in R[superscript 3]	77; title: 5	Quaternion Algebra	103; title: 6	Quaternion Geometry	141; title: 7	Algorithm Summary	155; title: 8	Quaternion Factors	177; title: 9	More Quaternion Applications	205; title: 10	Spherical Trigonometry	235; title: 11	Quaternion Calculus for Kinematics and Dynamics	257; title: 12	Rotations in Phase Space	277; title: 13	A Quaternion Process	303; title: 14	Computer Graphics	333