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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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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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Imaginary Mathematics for Computer Science

algebra resolves geometric problems, and quaternions rotate 3D vectors. There are two short chapters on the Riemann hypothesis and the Mandelbrot;

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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

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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Linear Algebra

, over the sets of real and complex numbers, and linear transformations between such vector spaces. Later on, this setting is extended to general;

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Quaternions for Computer Graphics

rings. It also includes chapters on imaginary quantities, complex numbers and the complex plane, which are essential to understanding;

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Lectures on quaternions

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Lectures on quaternions

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Rethinking Quaternions

quaternions, appropriate for contemporary computer graphics, based on mass-points; to present better ways to visualize quaternions, and the effect;

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Introduction to Modern Algebra and Its Applications

-Hellman Scheme and ElGamal cryptosystem based on discrete logarithm problem. It also presents Buchberger's algorithm which is one of the important;

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Introduction to Modern Algebra and Its Applications

-Hellman Scheme and ElGamal cryptosystem based on discrete logarithm problem. It also presents Buchberger's algorithm which is one of the important;

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An Elementary Treatise on Quaternions, Clarendon Press Series

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Vector Analysis and Quaternions

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Dual-Quaternions and Computer Graphics

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Understanding Quaternions

sinkage is investigated and validated with experiments. In Chapter 6, the ballast flying phenomenon based on Discrete Discontinuous Analysis;

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Foundation Mathematics for Computer Science

chapters on systems of counting, area and volume. These subjects complement the existing chapters on visual mathematics, numbers, algebra, logic;

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Foundation Mathematics for Computer Science

chapters on combinatorics, probability, modular arithmetic and complex numbers. These subjects complement the existing chapters on number systems;

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Octonions, Jordan Algebras and Exceptional Groups

of those notes, completely updated and revised. The part of the book dealing with the algebraic structures is on a fairly elementary level;

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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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Introduction to Abstract Algebra

updates based on feedback from first edition adopters, as well as improved and simplified proofs of a number of important theorems. Many new;

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Quaternions and Rotation Sequences

the founding equations into a stone bridge--mathematicians and engineers have been fascinated by these mathematical objects. Today, they are;

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Partial Differential Equations

This book includes research on the Lax-Milgram theorem, which can be used to prove existence and uniqueness of weak solutions to partial;

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Exceptional Lie Algebras

field of real numbers. The models given are based on the algebras ofCayley numbers (octonions) and on exceptional Jordan algebras. They are also;

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