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Elements Of Quaternions
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Book Synopsis Elements of Quaternions by : William Rowan Hamilton
Download or read book Elements of Quaternions written by William Rowan Hamilton and published by Franklin Classics. This book was released on 2018-10-11 with total page 856 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. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Book Synopsis Elements of Quaternions by : Arthur Sherburne Hardy
Download or read book Elements of Quaternions written by Arthur Sherburne Hardy and published by . This book was released on 1881 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Elements of Quaternions written by and published by . This book was released on 1901 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Visualizing Quaternions by : Andrew J. Hanson
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.
Book Synopsis Elements of Quaternions by : Arthur Sherburne Hardy
Download or read book Elements of Quaternions written by Arthur Sherburne Hardy and published by BoD – Books on Demand. This book was released on 2024-04-24 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reprint of the original, first published in 1881.
Book Synopsis Elements of Quaternions by : Sir William Rowan Hamilton
Download or read book Elements of Quaternions written by Sir William Rowan Hamilton and published by . This book was released on 1899 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Elements of Quaternions by : William Rowan Hamilton
Download or read book Elements of Quaternions written by William Rowan Hamilton and published by . This book was released on 1866 with total page 968 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Elements of Quaternions by : Arthur Sherburne Hardy
Download or read book Elements of Quaternions written by Arthur Sherburne Hardy and published by . This book was released on 1881 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Elements of Quaternions ... Edited by ... W. E. Hamilton by : Sir William Rowan Hamilton
Download or read book Elements of Quaternions ... Edited by ... W. E. Hamilton written by Sir William Rowan Hamilton and published by . This book was released on 1866 with total page 842 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Elements of Quaternions by : William Rowan Hamilton
Download or read book Elements of Quaternions written by William Rowan Hamilton and published by . This book was released on 1899 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Elements of Quaternions by : William Rowan Hamilton
Download or read book Elements of Quaternions written by William Rowan Hamilton and published by . This book was released on 1901 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Lectures on Quaternions by : Sir William Rowan Hamilton
Download or read book Lectures on Quaternions written by Sir William Rowan Hamilton and published by . This book was released on 1853 with total page 1016 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quaternions and Rotation Sequences by : J. B. Kuipers
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.
Book Synopsis Elements of Quaternions by : William Rowan Hamilton
Download or read book Elements of Quaternions written by William Rowan Hamilton and published by . This book was released on 2010-06-10 with total page 844 pages. Available in PDF, EPUB and Kindle. Book excerpt: A study of quaternions by their discoverer, Sir William Rowan Hamilton.
Book Synopsis Elements of Quaternions by : William Rowan Hamilton
Download or read book Elements of Quaternions written by William Rowan Hamilton and published by Forgotten Books. This book was released on 2015-06-27 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Elements of Quaternions, Vol. 2 I have reserved for the Appendix to this Volume the longer additional and illustrative notes which I have written for the new edition of the "Elements." Some of those notes would have been inconveniently long as footnotes; others would have been inconveniently placed. For example, although the Note on Screws relates naturally to Art. 416 and that on the Kinematical Treatment of Curves to Art. 396, I have placed the Note on Screws before the Note on Curves because Hamilton's remarks on screw motion in the earlier Article required some development in order to make the Note on Curves easily intelligible. Accordingly the order of the notes has been arranged with reference to the notes themselves rather than with reference to the text. The selection and treatment of the subjects of these notes have been subordinated to the illustration of quaternion methods. I have not hesitated to sacrifice brevity for suggestiveness, and above all I have tried to render the notation as explicit as possible. An analysis of the Appendix will be found on pages xlv-xlix. For greater convenience I have provided an Index to the whole work referring to the pages, the volumes being distinguished by the numbers i and ii. I take this opportunity of testifying to the extraordinary accuracy both of matter and of printing in the first edition of the "Elements." Every portion of the work bears evidence of Hamilton's unsparing pains. I cannot recall a single sentence ambiguous in its meaning, or a single case in which a difficulty is not honestly faced. I see no sign of diminished vigour or of relaxed care in those portions of the work written in his failing health. My task as editor has convinced me of the extreme caution with which any endeavour should be made to improve or modify the calculus of Quaternions. In conclusion, I desire to express my thanks to the College Printer, Mr. George Weldrick, for the great care he has taken in printing this edition for the Board of Trinity College, and for his unvarying courtesy to myself. 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.
Book Synopsis A Primer of Quaternions by : Arthur Hathaway
Download or read book A Primer of Quaternions written by Arthur Hathaway and published by Lulu.com. This book was released on 2018-09-06 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the Preface. The Theory of Quaternions is due to Sir William Rowan Hamilton, Royal Astronomer of Ireland, who presented his first paper on the subject to the Royal Irish Academy in 1843. His Lectures on Quaternions were published in 1853, and his Elements, in 1866, shortly after his death. "The Elements of Quaternions" by Tait is the accepted text-book for advanced students. The following development of the theory is prepared for average students with a thorough knowledge of the elements of algebra and geometry and is believed to be a simple and elementary treatment founded directly upon the fundamental ideas of the subject. This theory is applied in the more advanced examples to develop the principal formulas of trigonometry and solid analytical geometry, and the general properties and classification of surfaces of second order. ...
Book Synopsis Quaternion Algebras by : John Voight
Download or read book Quaternion Algebras written by John Voight and published by Springer Nature. This book was released on 2021-06-28 with total page 877 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access textbook presents a comprehensive treatment of the arithmetic theory of quaternion algebras and orders, a subject with applications in diverse areas of mathematics. Written to be accessible and approachable to the graduate student reader, this text collects and synthesizes results from across the literature. Numerous pathways offer explorations in many different directions, while the unified treatment makes this book an essential reference for students and researchers alike. Divided into five parts, the book begins with a basic introduction to the noncommutative algebra underlying the theory of quaternion algebras over fields, including the relationship to quadratic forms. An in-depth exploration of the arithmetic of quaternion algebras and orders follows. The third part considers analytic aspects, starting with zeta functions and then passing to an idelic approach, offering a pathway from local to global that includes strong approximation. Applications of unit groups of quaternion orders to hyperbolic geometry and low-dimensional topology follow, relating geometric and topological properties to arithmetic invariants. Arithmetic geometry completes the volume, including quaternionic aspects of modular forms, supersingular elliptic curves, and the moduli of QM abelian surfaces. Quaternion Algebras encompasses a vast wealth of knowledge at the intersection of many fields. Graduate students interested in algebra, geometry, and number theory will appreciate the many avenues and connections to be explored. Instructors will find numerous options for constructing introductory and advanced courses, while researchers will value the all-embracing treatment. Readers are assumed to have some familiarity with algebraic number theory and commutative algebra, as well as the fundamentals of linear algebra, topology, and complex analysis. More advanced topics call upon additional background, as noted, though essential concepts and motivation are recapped throughout.
