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Rotations, Quaternions, And Double Groups

This self-contained text presents a consistent description of the geometric and quaternionic treatment of rotation operators, employing;

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Rethinking Quaternions

principal applications: to increase speed and reduce storage for calculations involving rotations, to avoid distortions arising from numerical;

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Geometry Of The Octonions, The

There are precisely two further generalizations of the real and complex numbers, namely, the quaternions and the octonions. The quaternions;

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Visualizing Quaternions

most important concepts in modern computer graphics. They offer a powerful way to represent rotations and compared to rotation matrices they;

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On Quaternions and Octonions

This book investigates the geometry of quaternion and octonion algebras. Following a comprehensive historical introduction, the book;

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Quaternions for Computer Graphics

Sir William Rowan Hamilton was a genius, and will be remembered for his significant contributions to physics and mathematics. The;

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Clifford Algebras

numbers and the quaternions. They are famously used in proofs of the Atiyah-Singer index theorem, to provide double covers (spin groups) of the;

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Clifford Algebras: An Introduction

numbers and the quaternions. They are famously used in proofs of the Atiyah-Singer index theorem, to provide double covers (spin groups) of the;

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Quaternions for Computer Graphics

If you have ever wondered what quaternions are - then look no further, John Vince will show you how simple and useful they are. This 2nd;

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Geometric Mechanics - Part Ii

See also GEOMETRIC MECHANICS - Part I: Dynamics and Symmetry (2nd Edition) This textbook introduces modern geometric mechanics to advanced;

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Algebra and Geometry

This text gives a basic introduction, and a unified approach, to algebra and geometry. Alan Beardon covers the ideas of complex numbers;

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Groups

university course. An introduction to vector spaces, leading to the study of linear groups, and an introduction to complex numbers, leading to the;

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Vector Analysis and Quaternions

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Dual-Quaternions and Computer Graphics

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Understanding Quaternions

rotation of objects. This book is about the mathematical basics and applications of quaternions. The first four chapters mainly concerns the;

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Matrix Groups for Undergraduates

an excellent one-semester course for students familiar with linear and abstract algebra and prepares them for a graduate course on Lie groups;

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Quantum Mechanics

This book introduces notation, terminology, and basic ideas of relativistic quantum theories. The discussion proceeds systematically from;

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Lectures on quaternions

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Lectures on quaternions

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A Manual of Quaternions

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Utility Of Quaternions In Physics

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Utility Of Quaternions In Physics

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Matrix Groups for Undergraduates

Matrix groups are a beautiful subject and are central to many fields in mathematics and physics. They touch upon an enormous spectrum;

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Elements of Quaternions; Volume 1

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Lie Groups and Lie Algebras - A Physicist's Perspective

This book is intended for graduate students in Physics. It starts with a discussion of angular momentum and rotations in terms of the;

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An Elementary Treatise on Quaternions, Clarendon Press Series

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Multiculturalism's Double Bind

Using a rich array of ethnographic and archival data closely considering the Irish and the manner in which 'Irishness' was rendered;

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