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Author: Sir William Rowan Hamilton
Publisher:
ISBN:
Category :
Languages : en
Pages : 842
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Author: Sir William Rowan Hamilton
Publisher:
ISBN:
Category :
Languages : en
Pages : 842
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Book Description
Author: Sir William Rowan Hamilton
Publisher: Arkose Press
ISBN: 9781343926431
Category :
Languages : en
Pages : 846
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Book Description
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.
Author: Sir William Rowan Hamilton
Publisher:
ISBN:
Category : Quaternions
Languages : en
Pages : 1016
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Book Description
Author: Sir William Rowan Hamilton
Publisher:
ISBN:
Category : Quaternions
Languages : en
Pages : 628
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Author: Josiah Willard Gibbs
Publisher:
ISBN:
Category : Vector analysis
Languages : en
Pages : 90
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Author: John Voight
Publisher: Springer Nature
ISBN: 3030566943
Category : Mathematics
Languages : en
Pages : 877
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Book Description
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.
Author: J. B. Kuipers
Publisher: Princeton University Press
ISBN: 0691211701
Category : Mathematics
Languages : en
Pages : 396
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Book Description
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.
Author: British Museum. Department of Printed Books
Publisher:
ISBN:
Category : Best books
Languages : en
Pages : 626
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Book Description
Author: Charles Mollan
Publisher: Charles Mollan
ISBN: 0860270556
Category : Biography & Autobiography
Languages : en
Pages : 1892
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Book Description
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.
Author: South Kensington Museum. Science Library
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 520
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Book Description
