Outlines Of Quaternions

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The Outlines Of Quaternions

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Author : Henry William Lovett Hime
language : en
Publisher:
Release Date : 1894

The Outlines Of Quaternions written by Henry William Lovett Hime and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1894 with Quaternions categories.

The London Edinburgh And Dublin Philosophical Magazine And Journal Of Science

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Author :
language : en
Publisher:
Release Date : 1895

The London Edinburgh And Dublin Philosophical Magazine And Journal Of Science written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1895 with Physics categories.

Philosophical Magazine

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Author :
language : en
Publisher:
Release Date : 1895

Philosophical Magazine written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1895 with Physics categories.

Visualizing Quaternions

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Author : Andrew J. Hanson
language : en
Publisher: Elsevier
Release Date : 2006-02-06

Visualizing Quaternions written by Andrew J. Hanson and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-02-06 with Mathematics categories.

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.

Outline Course Of Pure Mathematics

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Author : A. F. Horadam
language : en
Publisher: Elsevier
Release Date : 2014-05-16

Outline Course Of Pure Mathematics written by A. F. Horadam and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-16 with Mathematics categories.

Outline Course of Pure Mathematics presents a unified treatment of the algebra, geometry, and calculus that are considered fundamental for the foundation of undergraduate mathematics. This book discusses several topics, including elementary treatments of the real number system, simple harmonic motion, Hooke's law, parabolic motion under gravity, sequences and series, polynomials, binomial theorem, and theory of probability. Organized into 23 chapters, this book begins with an overview of the fundamental concepts of differential and integral calculus, which are complementary processes for solving problems of the physical world. This text then explains the concept of the inverse of a function that is a natural complement of the function concept and introduces a convenient notation. Other chapters illustrate the concepts of continuity and discontinuity at the origin. This book discusses as well the significance of logarithm and exponential functions in scientific and technological contexts. This book is a valuable resource for undergraduates and advanced secondary school students.

Visualizing More Quaternions

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Author : Andrew J. Hanson
language : en
Publisher: Elsevier
Release Date : 2024-07-01

Visualizing More Quaternions written by Andrew J. Hanson and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-01 with Mathematics categories.

Visualizing More Quaternions, Volume Two updates on proteomics-related material that will be useful for biochemists and biophysicists, including material related to electron microscopy (and specifically cryo-EVisualizing. Dr. Andrew J. Hanson's groundbreaking book updates and extends concepts that have evolved since the first book published in 2005, adding entirely new insights that Dr. Hanson's research has recently developed. This includes the applications of quaternion methods to proteomics and molecular crystallography problems, which are domains with significant current research and application activity.In addition to readers interested in quaternions for their own sake, scientists involved in computer graphics, animation, shape modeling, and scientific visualization, and readers from several other disciplines will benefit from this new volume. Foremost among these, and the target of the first several chapters, are scientists involved in molecular chemistry where techniques based on quaternion eigensystems have become a standard tool for evaluating the quality of shape matching. - Establishes basic principles for visual display of quaternions and their applications. - Explores quaternion based approaches to the matching of point cloud pairs, including approaches to data from orthographic and perspective projections. - Develops extensive applications of quaternion frames to protein orientation analysis. - Analyzes the application of quaternion methods to physics problems ranging from quantum computing to special relativity and gravitational instantons.

A Reader S Guide To Contemporary Literature

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Author : William Swan Sonnenschein
language : en
Publisher:
Release Date : 1895

A Reader S Guide To Contemporary Literature written by William Swan Sonnenschein and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1895 with categories.

The American Mathematical Monthly

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Author :
language : en
Publisher:
Release Date : 1896

The American Mathematical Monthly written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1896 with Mathematicians categories.

Includes section "Recent publications."

Minutes Of Proceedings Of The Royal Artillery Institution

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Author :
language : en
Publisher:
Release Date : 1894

Minutes Of Proceedings Of The Royal Artillery Institution written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1894 with Artillery categories.

Nature

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Author :
language : en
Publisher:
Release Date : 1895

Nature written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1895 with categories.