Research Catalog

Title

Quaternions and rotation sequences : a primer with applications to orbits, aerospace, and virtual reality / Jack B. Kuipers.

Author

Kuipers, Jack B., 1921-

Publication

Princeton, N.J. : Princeton University Press, [1999], ©1999.

Supplementary Content

Publisher description

Items in the Library & Off-site

Details

Description

xxii, 371 pages : illustrations; 26 cm

Summary

• "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.

Subject

• Quaternions

Bibliography (note)

• Includes bibliographical references (p. 365-366) and index.

Contents

1. Historical Matters -- 2. Algebraic Preliminaries -- 3. Rotations in 3-space -- 4. Rotation Sequences in R[superscript 3] -- 5. Quaternion Algebra -- 6. Quaternion Geometry -- 7. Algorithm Summary -- 8. Quaternion Factors -- 9. More Quaternion Applications -- 10. Spherical Trigonometry -- 11. Quaternion Calculus for Kinematics and Dynamics -- 12. Rotations in Phase Space -- 13. A Quaternion Process -- 14. Computer Graphics.

ISBN

• 0691058725 (cloth : alk. paper)
• 0691102988

LCCN

98035389

OCLC

• ocm39380160
• SCSB-4346228

Owning Institutions

Columbia University Libraries