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Elements Of Quaternions Volume 1
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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 Arkose Press. This book was released on 2015-10-03 with total page 846 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.
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 978 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 It's Part of What We Are - Volumes 1 and 2 - Volume 1: Richard Boyle (1566-1643) to John Tyndall (1820-1893); Volume 2: Samuel Haughton (18210-1897) to John Stewart Bell (1928-1990) by : Charles Mollan
Download or read book It's Part of What We Are - Volumes 1 and 2 - Volume 1: Richard Boyle (1566-1643) to John Tyndall (1820-1893); Volume 2: Samuel Haughton (18210-1897) to John Stewart Bell (1928-1990) written by Charles Mollan and published by Charles Mollan. This book was released on 2007-11-15 with total page 1892 pages. Available in PDF, EPUB and Kindle. Book excerpt: Biographies of more than 100 Irish scientists (or those with strong Irish connections), in the disciplines of Chemistry and Physics, including Astronomy, Mathematics etc., describing them in their Irish and international scientific, social, educational and political context. Written in an attractive informal style for the hypothetical 'educated layman' who does not need to have studied science. Well received in Irish and international reviews.
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 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 Aperiodic Order: Volume 1, A Mathematical Invitation by : Michael Baake
Download or read book Aperiodic Order: Volume 1, A Mathematical Invitation written by Michael Baake and published by Cambridge University Press. This book was released on 2013-08-22 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quasicrystals are non-periodic solids that were discovered in 1982 by Dan Shechtman, Nobel Prize Laureate in Chemistry 2011. The underlying mathematics, known as the theory of aperiodic order, is the subject of this comprehensive multi-volume series. This first volume provides a graduate-level introduction to the many facets of this relatively new area of mathematics. Special attention is given to methods from algebra, discrete geometry and harmonic analysis, while the main focus is on topics motivated by physics and crystallography. In particular, the authors provide a systematic exposition of the mathematical theory of kinematic diffraction. Numerous illustrations and worked-out examples help the reader to bridge the gap between theory and application. The authors also point to more advanced topics to show how the theory interacts with other areas of pure and applied mathematics.
Book Synopsis Grassmann Algebra Volume 1: Foundations by : John Browne
Download or read book Grassmann Algebra Volume 1: Foundations written by John Browne and published by John M Browne. This book was released on 2012-10-25 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: Grassmann Algebra Volume 1: Foundations Exploring extended vector algebra with Mathematica Grassmann algebra extends vector algebra by introducing the exterior product to algebraicize the notion of linear dependence. With it, vectors may be extended to higher-grade entities: bivectors, trivectors, … multivectors. The extensive exterior product also has a regressive dual: the regressive product. The pair behaves a little like the Boolean duals of union and intersection. By interpreting one of the elements of the vector space as an origin point, points can be defined, and the exterior product can extend points into higher-grade located entities from which lines, planes and multiplanes can be defined. Theorems of Projective Geometry are simply formulae involving these entities and the dual products. By introducing the (orthogonal) complement operation, the scalar product of vectors may be extended to the interior product of multivectors, which in this more general case may no longer result in a scalar. The notion of the magnitude of vectors is extended to the magnitude of multivectors: for example, the magnitude of the exterior product of two vectors (a bivector) is the area of the parallelogram formed by them. To develop these foundational concepts, we need only consider entities which are the sums of elements of the same grade. This is the focus of this volume. But the entities of Grassmann algebra need not be of the same grade, and the possible product types need not be constricted to just the exterior, regressive and interior products. For example quaternion algebra is simply the Grassmann algebra of scalars and bivectors under a new product operation. Clifford, geometric and higher order hypercomplex algebras, for example the octonions, may be defined similarly. If to these we introduce Clifford's invention of a scalar which squares to zero, we can define entities (for example dual quaternions) with which we can perform elaborate transformations. Exploration of these entities, operations and algebras will be the focus of the volume to follow this. There is something fascinating about the beauty with which the mathematical structures that Hermann Grassmann discovered describe the physical world, and something also fascinating about how these beautiful structures have been largely lost to the mainstreams of mathematics and science. He wrote his seminal Ausdehnungslehre (Die Ausdehnungslehre. Vollständig und in strenger Form) in 1862. But it was not until the latter part of his life that he received any significant recognition for it, most notably by Gibbs and Clifford. In recent times David Hestenes' Geometric Algebra must be given the credit for much of the emerging awareness of Grassmann's innovation. In the hope that the book be accessible to scientists and engineers, students and professionals alike, the text attempts to avoid any terminology which does not make an essential contribution to an understanding of the basic concepts. Some familiarity with basic linear algebra may however be useful. The book is written using Mathematica, a powerful system for doing mathematics on a computer. This enables the theory to be cross-checked with computational explorations. However, a knowledge of Mathematica is not essential for an appreciation of Grassmann's beautiful ideas.
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 1969 with total page 584 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 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 The Publishers' Circular and General Record of British and Foreign Literature by :
Download or read book The Publishers' Circular and General Record of British and Foreign Literature written by and published by . This book was released on 1873 with total page 1138 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Mathematical Papers of Sir William Rowan Hamilton: Volume 4, Geometry, Analysis, Astronomy, Probability and Finite Differences, Miscellaneous by : William Rowan Hamilton
Download or read book The Mathematical Papers of Sir William Rowan Hamilton: Volume 4, Geometry, Analysis, Astronomy, Probability and Finite Differences, Miscellaneous written by William Rowan Hamilton and published by Cambridge University Press. This book was released on 2000-12-07 with total page 866 pages. Available in PDF, EPUB and Kindle. Book excerpt: Final part of Hamilton's Collected Papers; also contains a CD of all four volumes.
Book Synopsis Quaternions for Computer Graphics by : John Vince
Download or read book Quaternions for Computer Graphics written by John Vince and published by Springer Science & Business Media. This book was released on 2011-06-11 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sir William Rowan Hamilton was a genius, and will be remembered for his significant contributions to physics and mathematics. The Hamiltonian, which is used in quantum physics to describe the total energy of a system, would have been a major achievement for anyone, but Hamilton also invented quaternions, which paved the way for modern vector analysis. Quaternions are one of the most documented inventions in the history of mathematics, and this book is about their invention, and how they are used to rotate vectors about an arbitrary axis. Apart from introducing the reader to the features of quaternions and their associated algebra, the book provides valuable historical facts that bring the subject alive. Quaternions for Computer Graphics introduces the reader to quaternion algebra by describing concepts of sets, groups, fields and rings. It also includes chapters on imaginary quantities, complex numbers and the complex plane, which are essential to understanding quaternions. The book contains many illustrations and worked examples, which make it essential reading for students, academics, researchers and professional practitioners.
Book Synopsis Power Engineering and Information Technologies in Technical Objects Control by : Genadiy Pivnyak
Download or read book Power Engineering and Information Technologies in Technical Objects Control written by Genadiy Pivnyak and published by CRC Press. This book was released on 2017-02-03 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Improved knowledge in the field of technical objects operation and control helps manufacturers to decrease energy consumption and keep construction costs low. Moreover, it helps dealing effectively with environmental problems and switching to renewable forms of energy on the path of sustainable development of the society. The methods and technologies presented in this book will allow to improve the effectiveness of technical objects control and helps achieving safe, economical, high-quality usage of power engineering and information technologies. The book presents recent advances in power engineering, electric drives, transport systems, power electronics, cybersecurity and others. Vital issues of innovative small vehicles with using hydrogen fuel as well as boring rigs and underwater hydraulic transport pipelines are considered. The book offers a fresh look at energy-saving and energy efficiency in industry, new ideas in information technologies, paying much attention to interdisciplinary specification of the results obtained.
Download or read book Isis written by George Sarton and published by . This book was released on 1914 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Brief table of contents of vols. I-XX" in v. 21, p. [502]-618.
Author :Paul Adrien Maurice Dirac Publisher :Cambridge University Press ISBN 13 :9780521362313 Total Pages :1374 pages Book Rating :4.3/5 (623 download)
Book Synopsis The Collected Works of P. A. M. Dirac: Volume 1 by : Paul Adrien Maurice Dirac
Download or read book The Collected Works of P. A. M. Dirac: Volume 1 written by Paul Adrien Maurice Dirac and published by Cambridge University Press. This book was released on 1995-10-26 with total page 1374 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive collection of the scientific papers of one of this century's most outstanding physicists.
