Download or read book The Outlines of Quaternions written by Henry William Lovett Hime and published by . This book was released on 1894 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Outlines of Quaternions Classic Reprint written by Henry William Lovett Hime and published by Forgotten Books. This book was released on 2017-05-26 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Quaternions and Rotation Sequences written by J. B. Kuipers and published by Princeton University Press. This book was released on 2020-03-31 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Culturgeschichtliche Novellen Classic Reprint written by W. H. Riehl and published by CUP Archive. This book was released on 2017-12-14 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Culturgeschichtliche Novellen It is as in some sort an introduction to such a study of German as I have endeavoured to indicate, so far as this is possible under the limitations of a commentary on a given text, that the present volume has been prepared. The notes are numerous and copious, but I trust they will commend themselves as not of the kind that paralyse the student's own mental activity by superseding the necessity for it; but rather as stimulating it by presenting suitable material in a workable form, and furnishing guidance in such a way as to lead to future independence. The material has of course been supplied in the first place by the text itself. This has been to a small extent supplemented, but chiefly elucidated and illustrated, by matter drawn from sources many of them inaccessible to the English reader. A not inconsiderable element may lay some claim to origi nality, and perhaps this will be the most valuable part of the book to the real student, because treating from the objective standpoint of the foreigner, specially of the Englishman, matters of idiomatic difficulty upon which only scattered hints are to be found in sources English or German. I may refer particularly to the notes on the particles, on the exact force, as felt in the original, of words like erst, z'ibrzlgms, vol lends, &c., and of certain familiar but peculiar modes of con ception and expression which are too completely ingrained in the consciousness of a native for him easily to make them the objects of analysis or of explanation to others. 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.
Download or read book Visualizing Quaternions written by Andrew J. Hanson and published by Elsevier. This book was released on 2006-02-06 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Outlines of the Philosophy of Aristotle written by and published by . This book was released on 1883 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Quaternions Clifford Algebras and Relativistic Physics written by Patrick R. Girard and published by Springer Science & Business Media. This book was released on 2007-06-25 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: The use of Clifford algebras in mathematical physics and engineering has grown rapidly in recent years. Whereas other developments have privileged a geometric approach, this book uses an algebraic approach that can be introduced as a tensor product of quaternion algebras and provides a unified calculus for much of physics. It proposes a pedagogical introduction to this new calculus, based on quaternions, with applications mainly in special relativity, classical electromagnetism, and general relativity.
Download or read book Outlines of the Philosophy of Aristotle written by and published by CUP Archive. This book was released on with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The United States Catalog written by and published by . This book was released on 1903 with total page 2162 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Notes on the Nalop khy nam written by John Peile and published by . This book was released on 1881 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Gospel according to s John with notes and intr by A Plummer written by John (st.) and published by . This book was released on 1882 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Naive Lie Theory written by John Stillwell and published by Springer Science & Business Media. This book was released on 2008-12-15 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Download or read book The anabis of xenophon with english notes written by and published by CUP Archive. This book was released on with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The United States Catalog Books in Print 1902 written by Marion E. Potter and published by . This book was released on 1903 with total page 2216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Acts of the Apostles with intr and notes by J R Lumby written by Joseph Rawson Lumby and published by . This book was released on 1882 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Gai Iuli Caesaris de bello Gallico commentariorum i ii octavus with notes by A G Peskett written by Gaius Julius Caesar and published by . This book was released on 1882 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to Quaternions with Numerous Examples written by Philip Kelland and published by BoD – Books on Demand. This book was released on 2024-04-09 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reprint of the original, first published in 1882.
