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

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9780691102986: Quaternions and Rotation Sequences: A Primer with Applications to Orbits, Aerospace, and Virtual Reality
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"This book will appeal to anyone with an interest in three-dimensional geometry. It is a competent and comprehensive survey. . . . This book is unique in that it is probably the only modern book to treat quaternions seriously. . . . A valuable asset." --Aeronautical Journal


"[A] splendid book . . . everything one could wish for in a primer. It is also beautifully set out with an attractive layout, clear diagrams, and wide margins with explanatory notes where appropriate. It must be strongly recommended to all students of physics, engineering or computer science." --Peter Rowlands, Contemporary Physics

Reseña del editor:


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.


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Jack B Kuipers
Editorial: Princeton University Press (2002)
ISBN 10: 0691102988 ISBN 13: 9780691102986
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Descripción Princeton University Press, 2002. PAP. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería WP-9780691102986

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Descripción Estado de conservación: New. Brand New. US Edition Book. We do not ship to Military Addresses. Fast Shipping with Order Tracking. For Standard Shipping 7-8 business days & Expedite Shipping 4-6 business days, after shipping. Nº de ref. de la librería 0691102988-RMX

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J.B. Kuipers
Editorial: Princeton University Press, United States (2011)
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Descripción Princeton University Press, United States, 2011. Paperback. Estado de conservación: New. Reprint. 251 x 196 mm. Language: English . Brand New Book. 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. Nº de ref. de la librería AAZ9780691102986

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J.B. Kuipers
Editorial: Princeton University Press, United States (2011)
ISBN 10: 0691102988 ISBN 13: 9780691102986
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Descripción Princeton University Press, United States, 2011. Paperback. Estado de conservación: New. Reprint. 251 x 196 mm. Language: English . Brand New Book. 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. Nº de ref. de la librería AAZ9780691102986

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Kuipers, Jack B.
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Descripción Estado de conservación: New. Bookseller Inventory # ST0691102988. Nº de ref. de la librería ST0691102988

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J.B. Kuipers
Editorial: Princeton University Press 2002-08-19, New Jersey (2002)
ISBN 10: 0691102988 ISBN 13: 9780691102986
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Descripción Princeton University Press 2002-08-19, New Jersey, 2002. paperback. Estado de conservación: New. Nº de ref. de la librería 9780691102986

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Kuipers, J.B.
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ISBN 10: 0691102988 ISBN 13: 9780691102986
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Descripción Princeton University Press, 2002. Estado de conservación: New. 2002. Paperback. Introduces quaternions for scientists and engineers, and shows how they can be used in a variety of practical situations. This book is primarily an exposition of the quaternion, a 4-tuple, and its primary application in a rotation operator. It also presents the conventional and familiar 3 x 3 (9-element) matrix rotation operator. Num Pages: 400 pages, 121 figures. BIC Classification: PBF; PDE; TBJ. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 194 x 254 x 23. Weight in Grams: 776. . . . . . . Nº de ref. de la librería V9780691102986

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Kuipers, J. B.
Editorial: Princeton University Press (2002)
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Descripción Princeton University Press, 2002. Paperback. Estado de conservación: New. book. Nº de ref. de la librería 0691102988

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Descripción Paperback. Estado de conservación: New. Not Signed; 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 application. book. Nº de ref. de la librería ria9780691102986_rkm

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Descripción Estado de conservación: New. Depending on your location, this item may ship from the US or UK. Nº de ref. de la librería 97806911029860000000

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