The Outlines Of Quaternions Classic Reprint
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Outlines Of Quaternions
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Author : Henry William Lovett Hime
language : en
Publisher:
Release Date : 1894
Outlines Of Quaternions written by Henry William Lovett Hime and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1894 with Quaternions categories.
The Outlines Of Quaternions Classic Reprint
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Author : Henry William Lovett Hime
language : en
Publisher: Forgotten Books
Release Date : 2017-05-26
The Outlines Of Quaternions Classic Reprint written by Henry William Lovett Hime and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-26 with Mathematics categories.
Excerpt from The Outlines of Quaternions It follows that a straight line, ab, considered as having not only length but direction, is a vector. Its initial point, A, is called its Origin and its final point, B, is called its Term. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Quaternions And Rotation Sequences
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Author : J. B. Kuipers
language : en
Publisher: Princeton University Press
Release Date : 2020-03-31
Quaternions And Rotation Sequences written by J. B. Kuipers and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-31 with Mathematics categories.
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.
Visualizing Quaternions
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Author : Andrew J. Hanson
language : en
Publisher: Elsevier
Release Date : 2006-02-06
Visualizing Quaternions written by Andrew J. Hanson and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-02-06 with Mathematics categories.
Introduced 160 years ago as an attempt to generalize complex numbers to higher dimensions, quaternions are now recognized as one of the most important concepts in modern computer graphics. They offer a powerful way to represent rotations and compared to rotation matrices they use less memory, compose faster, and are naturally suited for efficient interpolation of rotations. Despite this, many practitioners have avoided quaternions because of the mathematics used to understand them, hoping that some day a more intuitive description will be available.The wait is over. Andrew Hanson's new book is a fresh perspective on quaternions. The first part of the book focuses on visualizing quaternions to provide the intuition necessary to use them, and includes many illustrative examples to motivate why they are important—a beautiful introduction to those wanting to explore quaternions unencumbered by their mathematical aspects. The second part covers the all-important advanced applications, including quaternion curves, surfaces, and volumes. Finally, for those wanting the full story of the mathematics behind quaternions, there is a gentle introduction to their four-dimensional nature and to Clifford Algebras, the all-encompassing framework for vectors and quaternions. - Richly illustrated introduction for the developer, scientist, engineer, or student in computer graphics, visualization, or entertainment computing. - Covers both non-mathematical and mathematical approaches to quaternions.
Outlines Of The Philosophy Of Aristotle
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Author :
language : en
Publisher:
Release Date : 1883
Outlines Of The Philosophy Of Aristotle written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1883 with categories.
Introduction To Quaternions
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Author : Philip Kelland
language : en
Publisher:
Release Date : 1882
Introduction To Quaternions written by Philip Kelland and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1882 with Quaternions categories.
Outlines Of The Philosophy Of Aristotle
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Author :
language : en
Publisher: CUP Archive
Release Date :
Outlines Of The Philosophy Of Aristotle written by and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
The United States Catalog Books In Print 1902
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Author : Marion E. Potter
language : en
Publisher:
Release Date : 1903
The United States Catalog Books In Print 1902 written by Marion E. Potter and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1903 with American literature categories.
The Anabis Of Xenophon With English Notes
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Author :
language : en
Publisher: CUP Archive
Release Date :
The Anabis Of Xenophon With English Notes written by and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Naive Lie Theory
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Author : John Stillwell
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-12-15
Naive Lie Theory written by John Stillwell and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-15 with Mathematics categories.
In this new textbook, acclaimed author John Stillwell presents a lucid introduction to Lie theory suitable for junior and senior level undergraduates. In order to achieve this, he focuses on the so-called "classical groups'' that capture the symmetries of real, complex, and quaternion spaces. These symmetry groups may be represented by matrices, which allows them to be studied by elementary methods from calculus and linear algebra. This naive approach to Lie theory is originally due to von Neumann, and it is now possible to streamline it by using standard results of undergraduate mathematics. To compensate for the limitations of the naive approach, end of chapter discussions introduce important results beyond those proved in the book, as part of an informal sketch of Lie theory and its history. John Stillwell is Professor of Mathematics at the University of San Francisco. He is the author of several highly regarded books published by Springer, including The Four Pillars of Geometry (2005), Elements of Number Theory (2003), Mathematics and Its History (Second Edition, 2002), Numbers and Geometry (1998) and Elements of Algebra (1994).