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

## by J. B. Kuipers

**ISBN:**0691102988

**ISBN13:**978-0691102986

**Language:**English

**Publisher:**Princeton University Press (September 8, 2002)

**Pages:**400

**Category:**Mathematics

**Subategory:**Math Science

**ePub size:**1726 kb

**Fb2 size:**1884 kb

**DJVU size:**1945 kb

**Rating:**4.8

**Votes:**463

**Other Formats:**docx mobi azw lrf

In this book, J. B. Kuipers introduces quaternions for scientists and engineers who have not encountered . The book is primarily an exposition of the quaternion, a 4-tuple, and its primary application in a rotation operator.

In this book, J. 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. 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

Author: Jack B. Kuipers. Educational Games and Virtual Reality Augmented Reality Applications Sequences, discrepancies an. .

Author: Jack B. Educational Games and Virtual Reality Augmented Reality Applications. Artificial Life and Virtual Reality Sequences, discrepancies and applications. Sequences, discrepancies and applications.

oceedings{nsAR, title {Quaternions and Rotation Sequences: A Primer with . 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.

oceedings{nsAR, title {Quaternions and Rotation Sequences: A Primer with Applications to Orbits, Aerospace and Virtual Reality}, author {Jack B. Kuipers}, year {2002} }. Jack B. Kuipers introduces quaternions for scientists an. ONTINUE READING.

Quaternions and Rotation Sequences: a Primer with Applications to Orbits, Aerospace and Virtual Reality, J. Kuipers, Princeton University Press, 41 William Street, Princeton, NJ 08540, USA. 1999. Published online by Cambridge University Press: 04 July 2016.

Applications of Virtual Modules in Numerical Analysis. Abd Elrazig Awadelseed Edries Suliman.

Multidimensional Laplace Transforms over Quaternions, Octonions and Cayley-Dickson Algebras, Their Applications to PDE. Sergey Victor Ludkovsky. 22013 6 729 Downloads 12 610 Views Citations. Applications of Virtual Modules in Numerical Analysis. 1102299 910 Downloads 1 263 Views Citations.

Kuipers, Jack . Quaternions and Rotation Sequences A Primer with Applications to Orbits, Aerospace, and Virtual Reality, Princeton University Press, Princeton, NJ, 1999, p. 168, 83. Amoruso, Michael . Euler Angles and Quaternions in Six Degree of Freedom. Euler Angles and Quaternions in Six Degree of Freedom Simulations of Projectiles, US Army Armament, Munitions and Chemicals Command, Picatinny Arsenal, New Jersey, March, 1996, p. 35. Dam, Erik . Koch, Martin, Lillholm, Martin, Quaternions, Interpolation and Animation, Technical Report DIKU-TR-98/5, Department of Computer Science, University of Copenhagen, Denmark, July, .

This book is primarily an exposition of the quaternion, a 4-tuple, and its primary application in a rotation . J. Kuipers is Professor Emeritus of Mathematics at Calvin College

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. Kuipers is Professor Emeritus of Mathematics at Calvin College. He also developed a six-dimensional graphics system and, as a consequence, is regarded by some as the founder of virtual reality. Country of Publication.

Quaternions: theory and applications By Griffin, Sandra. Download all eBooks in PDF,ePub format for free. Reproduction of site books is authorized only for informative purposes and strictly for personal, private use. Quatitative Trading Systems By Bandy . Quatrain By Sharon Shinn.

This book is unique in that it is probably the only modern book to treat quaternions seriously. ""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. From the Inside Flap. 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. "This is the most complete discussion of quaternions and their applications that I have seen. 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.

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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