Download or read book An Elementary Treatise on Quaternions Clarendon Press Series Scholar s Choice Edition written by Peter Guthrie Tait and published by . This book was released on 2015-02-17 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Download or read book An elementary treatise on Quaternions written by P. G. Tait and published by . This book was released on 1867 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Elementary Treatise on Quaternions written by Peter Guthrie Tait and published by . This book was released on 1996 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Elementary Treatise on Quaternions Clarendon Press Series written by Peter Guthrie Tait and published by Legare Street Press. This book was released on 2022-10-26 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Download or read book Elementary Treatise on Quaternions written by P. G. Tait and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Athenaeum written by and published by . This book was released on 1874 with total page 894 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Treatise on Electricity and Magnetism written by James Clerk Maxwell and published by . This book was released on 1873 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Athenaeum and Literary Chronicle written by and published by . This book was released on 1874 with total page 1800 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Elementary Treatise on Quaternions written by Peter Guthrie Tait and published by . This book was released on 1873 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Athenaeum written by and published by . This book was released on 1874 with total page 896 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nature written by Sir Norman Lockyer and published by . This book was released on 1889 with total page 910 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Elementary Treatise on Quaternions written by P. G. Tait and published by BoD – Books on Demand. This book was released on 2023-11-20 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reprint of the original, first published in 1875.
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 Educational Times written by and published by . This book was released on 1887 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Elementary Treatise on Quaternions written by P. G. Tait and published by Forgotten Books. This book was released on 2015-06-26 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from An Elementary Treatise on Quaternions To the first edition of this work, published in 1867, the following was prefixed: - 'The present work was commenced in 1859, while I was a Professor of Mathematics, and far more ready at Quaternion analysis than I can now pretend to be. Had it been then completed I should have had means of testing its teaching capabilities, and of improving it, before publication, where found deficient in that respect. 'The duties of another Chair, and Sir W. Hamilton's wish that my volume should not appear till after the publication of his Elements, interrupted my already extensive preparations. I had worked out nearly all the examples of Analytical Geometry in Todhunter's Collection, and I had made various physical applications of the Calculus, especially to Crystallography, to Geometrical Optics, and to the Induction of Currents, in addition to those on Kinematics, Electrodynamics, Fresnel's Wave Surface, &c., which are reprinted in the present work from the Quarterly Mathematical Journal and the Proceedings of the Royal Society of Edinburgh. 'Sir W. Hamilton, when I saw him but a few days before his death, urged me to prepare my work as soon as possible, his being almost ready for publication. He then expressed, more strongly perhaps than he had ever done before, his profound conviction of the importance of Quaternions to the progress of physical science; and his desire that a really elementary treatise on the subject should soon be published. 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 An Elementary Treatise on Quaternions Classic Reprint written by Peter Guthrie Tait and published by Forgotten Books. This book was released on 2017-11-22 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from An Elementary Treatise on Quaternions Expression of a vector by one symbol, containing implicitly three distinct numbers. Extension of the signification of the symbol 518. The sign defined in accordance with the interpretation of a vector as representing translation, 5 19. Definition of It simply reverses a vector, 5 20. 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 Clifford Algebras and Their Applications in Mathematical Physics written by J.S.R. Chisholm and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: William Kingdon Clifford published the paper defining his "geometric algebras" in 1878, the year before his death. Clifford algebra is a generalisation to n-dimensional space of quaternions, which Hamilton used to represent scalars and vectors in real three-space: it is also a development of Grassmann's algebra, incorporating in the fundamental relations inner products defined in terms of the metric of the space. It is a strange fact that the Gibbs Heaviside vector techniques came to dominate in scientific and technical literature, while quaternions and Clifford algebras, the true associative algebras of inner-product spaces, were regarded for nearly a century simply as interesting mathematical curiosities. During this period, Pauli, Dirac and Majorana used the algebras which bear their names to describe properties of elementary particles, their spin in particular. It seems likely that none of these eminent mathematical physicists realised that they were using Clifford algebras. A few research workers such as Fueter realised the power of this algebraic scheme, but the subject only began to be appreciated more widely after the publication of Chevalley's book, 'The Algebraic Theory of Spinors' in 1954, and of Marcel Riesz' Maryland Lectures in 1959. Some of the contributors to this volume, Georges Deschamps, Erik Folke Bolinder, Albert Crumeyrolle and David Hestenes were working in this field around that time, and in their turn have persuaded others of the importance of the subject.
