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Quaternions and Rotation Sequences: A Primer with Applications to Orbits, Aerosp

Description: Quaternions and Rotation Sequences by J.B. Kuipers 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. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description Ever since the Irish mathematician William Rowan Hamilton introduced quaternions in the 19th century - a feat he celebrated by carving the founding equations into a stone bridge - mathematicians and engineers have been fascinated by these mathematical objects. They are used in applications as various as describing the geometry of space-time, guiding the Space Shuttle and developing computer applications in virtual reality. In this book, Jack 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. Notes 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 Tribbles Guide to Space" Back Cover "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 Tribbles Guide to Space Author Biography 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. Table of Contents List of FiguresAbout This BookAcknowledgements1Historical Matters32Algebraic Preliminaries133Rotations in 3-space454Rotation Sequences in R[superscript 3]775Quaternion Algebra1036Quaternion Geometry1417Algorithm Summary1558Quaternion Factors1779More Quaternion Applications20510Spherical Trigonometry23511Quaternion Calculus for Kinematics and Dynamics25712Rotations in Phase Space27713A Quaternion Process30314Computer Graphics333Further Reading and References365Index367 Review "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 Promotional 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 Tribbles Guide to Space" Long Description Ever since the Irish mathematician William Rowan Hamilton introduced quaternions in the 19th century - a feat he celebrated by carving the founding equations into a stone bridge - mathematicians and engineers have been fascinated by these mathematical objects. They are used in applications as various as describing the geometry of space-time, guiding the Space Shuttle and developing computer applications in virtual reality. In this book, Jack 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. Review Quote 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 Details ISBN0691102988 Short Title QUATERNIONS & ROTATION SEQUENC Publisher Princeton University Press Language English ISBN-10 0691102988 ISBN-13 9780691102986 Media Book Format Paperback Year 2002 Imprint Princeton University Press Subtitle A Primer with Applications to Orbits, Aerospace and Virtual Reality Place of Publication New Jersey Country of Publication United States Illustrations 121 figures Translated from English DOI 10.1604/9780691102986 UK Release Date 2002-09-08 NZ Release Date 2002-09-08 US Release Date 2002-09-08 Author J.B. Kuipers Publication Date 2002-09-08 Alternative 9780691058726 DEWEY 512.5 Audience Professional & Vocational AU Release Date 2002-11-17 Pages 394 We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:631186;

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Quaternions and Rotation Sequences: A Primer with Applications to Orbits, Aerosp

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ISBN-13: 9780691102986

Book Title: Quaternions and Rotation Sequences

Number of Pages: 400 Pages

Language: English

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

Publisher: Princeton University Press

Publication Year: 2002

Subject: Engineering & Technology, Mathematics, Physics

Item Height: 254 mm

Item Weight: 794 g

Type: Textbook

Author: J. B. Kuipers

Item Width: 191 mm

Format: Paperback

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