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

## J. B. Kuipers

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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.

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From the Inside Flap:

"The text is written in a clear and readable style well suited for students wishing to master fundamental quaternion concepts."--Mark C. Allman, Senior Engineer, The Boeing Company

"This is the most complete discussion of quaternions and their applications that I have seen."--Alan C. Tribble, author of A Tribble's Guide to Space

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.

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

ISBN 10: 0691102988 ISBN 13: 9780691102986
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Books_Universe
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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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## 2.Quaternions And Rotation Sequences: A Primer With Applications To Orbits, Aerospace And Virtual Reality

ISBN 10: 0691102988 ISBN 13: 9780691102986
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BWB
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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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## 3.Quaternions and Rotation Sequences and#8211; A Primer with Applications to Orbits, Aerospace and Virtual Reality

Editorial: Princeton University Press (2002)
ISBN 10: 0691102988 ISBN 13: 9780691102986
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Books2Anywhere
(Fairford, GLOS, Reino Unido)
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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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## 4.Quaternions and Rotation Sequences

Editorial: Princeton University Press 2002-09-19, Princeton, N.J. |Oxford (2002)
ISBN 10: 0691102988 ISBN 13: 9780691102986
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Blackwell's
(Oxford, OX, Reino Unido)
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Descripción Princeton University Press 2002-09-19, Princeton, N.J. |Oxford, 2002. paperback. Estado de conservación: New. Nº de ref. de la librería 9780691102986

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## 5.Quaternions and Rotation Sequences: A Primer with Applications to Orbits, Aerospace and Virtual Reality (Paperback)

Editorial: Princeton University Press, United States (2011)
ISBN 10: 0691102988 ISBN 13: 9780691102986
Librería
The Book Depository US
(London, Reino Unido)
Valoración

Descripción Princeton University Press, United States, 2011. Paperback. Estado de conservación: New. Reprint. 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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## 6.Quaternions and Rotation Sequences: A Primer with Applications to Orbits, Aerospace and Virtual Reality (Paperback)

Editorial: Princeton University Press, United States (2011)
ISBN 10: 0691102988 ISBN 13: 9780691102986
Librería
The Book Depository
(London, Reino Unido)
Valoración

Descripción Princeton University Press, United States, 2011. Paperback. Estado de conservación: New. Reprint. 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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## 7.Quaternions and Rotation Sequences: A Primer with Applications to Orbits, Aerospace, and Virtual Reality (Paperback)

ISBN 10: 0691102988 ISBN 13: 9780691102986
Librería
Speedy Hen LLC
(Sunrise, FL, Estados Unidos de America)
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Descripción Estado de conservación: New. Bookseller Inventory # ST0691102988. Nº de ref. de la librería ST0691102988

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

Editorial: Princeton University Press (2002)
ISBN 10: 0691102988 ISBN 13: 9780691102986
Librería
Nearfine Books
(Brooklyn, NY, Estados Unidos de America)
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Descripción Princeton University Press, 2002. Estado de conservación: new. Shiny and new! Expect delivery in 20 days. Nº de ref. de la librería 9780691102986-1

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## 9.Quaternions and Rotation Sequences

Editorial: Princeton University Press (2002)
ISBN 10: 0691102988 ISBN 13: 9780691102986
Librería
Valoración

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

Editorial: Princeton University Press
ISBN 10: 0691102988 ISBN 13: 9780691102986
Librería
THE SAINT BOOKSTORE
(Southport, Reino Unido)
Valoración

Descripción Princeton University Press. Paperback. Estado de conservación: new. BRAND NEW, Quaternions and Rotation Sequences: A Primer with Applications to Orbits, Aerospace and Virtual Reality, J.B. Kuipers, 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 B9780691102986

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