Quaternions and Rotation Sequences

Quaternions and Rotation Sequences

Author: J. B. Kuipers

Publisher: Princeton University Press

ISBN: 9780691211701

Category: Mathematics

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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.
A Primer of Quaternions
Language: en
Pages: 113
Authors: Arthur Stafford Hathaway
Categories: Quaternions
Type: BOOK - Published: 1896 - Publisher:

A Primer of Quaternions by Arthur Hathaway Stafford, first published in 1896, is a rare manuscript, the original residing in one of the great libraries of the world. This book is a reproduction of that original, which has been scanned and cleaned by state-of-the-art publishing tools for better readability and
A Primer of Quaternions
Language: en
Pages: 86
Authors: Arthur S. Hathaway
Categories: Quaternions
Type: BOOK - Published: 2017-06-03 - Publisher: Createspace Independent Publishing Platform

A Primer of Quaternions by Arthur S. Hathaway
A Primer of Quaternions
Language: en
Pages: 113
Authors: Arthur S. Hathaway
Categories: Quaternions
Type: BOOK - Published: 1896-01-01 - Publisher: Prabhat Prakashan

The Theory of Quaternions is due to Sir William Rowan Hamilton, Royal Astronomer of Ireland, who presented his first paper on the subject to the Royal Irish Academy in 1843. His Lectures on Quaternions were published in 1853, and his Elements, in 1866, shortly after his death. The Elements of
A Primer of Quaternions
Language: en
Pages: 78
Authors: Arthur S Hathaway
Categories: Quaternions
Type: BOOK - Published: 2019-12-20 - Publisher:

The Theory of Quaternions is due to Sir William Rowan Hamilton, Royal Astronomer of Ireland, who presented his first paper on the subject to the Royal Irish Academy in 1843. His Lectures on Quaternions were published in 1853, and his Elements, in 1866, shortly after his death. The Elements of
A Primer of Quaternions by Arthur S. Hathaway
Language: en
Pages: 150
Authors: Arthur S. Hathaway
Categories: Literary Collections
Type: BOOK - Published: 2009-03-03 - Publisher:

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