Quaternions and Rotation Sequences. A Primer with Applications to Orbits, Aerospace, and Virtual Reality.

Kuipers, Jack B.:

ISBN 10: 0691058725 / ISBN 13: 9780691058726

Published by Princeton, New Jersey: Princeton University Press, 1998

About this Item

XXII, 371 Seiten, Fadenheftung, Format 19 x 26,2 cm, hartgebundener u. glanzkaschierter Original-Pappband. * References + Index auf den Seiten 365-31. Mit vielen Abbildungen (Zeichnungen, Diagramme u.a. grafische Darstellungen). Erhaltung: Auf dem rückseitigen Deckel ein Preis-Etikett (DM 110,00). Sonst keine weiteren Mängel und insgesamt ein sehr gutes und frisches Exemplar [Eine größere Sammlung Physik, Mathematik, Astronomie und verwandte Gebiete wird derzeit in den Bestand eingearbeitet. Sie finden diese Titel bei uns in den gleichnamigen Rubriken]. BITTE BEACHTEN: Gewicht mit Verpackung rund 1,4 Kilo. Geht im Inland nicht als Büchersendung, sondern nur als Paket mit dem entsprechenden Porto. Das vom ABEBOOKS/ZVAB-Computer ausgeworfene Einheitsporto für Büchersendungen ist nicht zutreffend. Sprache: Englisch.

Seller Inventory # 29858

Bibliographic Details

• Title: Quaternions and Rotation Sequences. A Primer with Applications to Orbits, Aerospace, and Virtual Reality.
• Publisher: Princeton, New Jersey: Princeton University Press
• Publication Date: 1998
• ISBN 10: 0691058725
• ISBN 13: 9780691058726
• Edition: 1st Edition
• Seller catalogs:
  • Astronomie

About this title

Synopsis

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 in virtual reality. In this book, J. 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.


The book is primarily an exposition of the quaternion, a 4-tuple, and its primary application in a rotation operator. But Kuipers also presents the more conventional and familiar 3 x 3 (9-element) matrix rotation operator. These parallel presentations allow the reader to judge which approaches are preferable for specific applications. The volume is divided into three main parts. The opening chapters present introductory material and establish the book's terminology and notation. The next part presents the mathematical properties of quaternions, including quaternion algebra and geometry. It includes more advanced special topics in spherical trigonometry, along with an introduction to quaternion calculus and perturbation theory, required in many situations involving dynamics and kinematics. In the final section, Kuipers discusses state-of-the-art applications. He presents a six degree-of-freedom electromagnetic position and orientation transducer and concludes by discussing the computer graphics necessary for the development of applications in virtual reality.

About the Author

J. B. Kuipers is Professor Emeritus of Mathematics at Calvin College. In addition to publishing papers and research notes on quaternions, he spent seventeen years in the aerospace industry where his work included developing applications of quaternion theory for aerospace systems. He also developed a six-dimensional graphics system and, as a consequence, is regarded by some as the founder of virtual reality.