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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

edition has been completely revised and includes extra detail on the invention of quaternions, a complete review of the text and equations, all;

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Visualizing Quaternions

Introduced 160 years ago as an attempt to generalize complex numbers to higher dimensions, quaternions are now recognized as one of the;

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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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The Outlines of Quaternions

attempt to remove books with imperfections introduced by the digitization process. Though we have made best efforts - the books may have;

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Understanding Quaternions

where each object contains 4 scalar variables, instead of Euler angles, which is useful to overcome the gimbal lock phenomenon when treating the;

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Rethinking Quaternions

inaccuracies caused by floating point computations with rotations, and to interpolate between two rotations for key frame animation. Yet while the;

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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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Elements of Quaternions; Volume 1

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Imaginary Mathematics for Computer Science

The imaginary unit i = -1 has been used by mathematicians for nearly five-hundred years, during which time its physical meaning has been a;

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Vector Analysis and Quaternions

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Lectures on quaternions

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Lectures on quaternions

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Dual-Quaternions and Computer Graphics

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Quaternions and Rotation Sequences

Ever since the Irish mathematician William Rowan Hamilton introduced quaternions in the nineteenth century--a feat he celebrated by carving;

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An Elementary Treatise on Quaternions, Clarendon Press Series

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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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Leptons

In Leptons: Classes, Properties and Interactions, the authors develop a model to calculate the masses of charged leptons by quantifying the;

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Mathematics for Computer Graphics

edition. The first five chapters cover a general introduction, number sets, algebra, trigonometry and coordinate systems, which are;

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Sir William Rowan Hamilton

One of the most imaginative mathematicians of the nineteenth century, Sir William Rowan Hamilton (1805-1865) changed the course of modern;

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Groups

This book follows the same successful approach as Dr Burn's previous book on number theory. It consists of a carefully constructed sequence;

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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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Hypercomplex Analysis

Hypercomplex analysis is the extension of complex analysis to higher dimensions where the concept of a holomorphic function is substituted;

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Mathematical Basics of Motion and Deformation in Computer Graphics

This synthesis lecture presents an intuitive introduction to the mathematics of motion and deformation in computer graphics. Starting with;

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The Life of Christ

The outlines for this book have been chosen from some of the most respected preachers in history. Each book in the Bryant Sermon Outlines;

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