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Visualizing More Quaternions by Andrew J. Hanson (Emeritus Professor of Computer Science, Indiana University, IN, USA) at Abbey's Bookshop,
Visualizing More Quaternions
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Andrew J. Hanson (Emeritus Professor of Computer Science, Indiana University, IN, USA)

Visualizing More Quaternions

Andrew J. Hanson (Emeritus Professor of Computer Science, Indiana University, IN, USA)

$220.95

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English
Morgan Kaufmann
08 July 2024
Applied mathematics
Visualizing More Quaternions is a sequel to

Dr. Andrew J. Hanson’s first book, Visualizing Quaternions, which appeared in 2006.

This new volume develops and extends concepts that have attracted the author’s attention in the intervening 18 years, providing new insights into existing scholarship,

and detailing results from Dr. Hanson’s own published and unpublished investigations relating to quaternion applications.

Among the topics covered are the introduction of new approaches to depicting quaternions and their properties, applications of quaternion methods to cloud matching, including both orthographic and perspective projection problems, and orientation feature analysis for proteomics and bioinformatics.

The quaternion adjugate variables are introduced to embody the nontrivial quaternion topology on the three-sphere and incorporate it into machine learning

tasks.

Other subjects include quaternion applications to a wide variety of problems in physics, including

quantum computing, complexified quaternions in special relativity, and a detailed study of the Kleinian “ADE” discrete groups of the ordinary two-sphere.

Quaternion geometry is also incorporated into the isometric embedding of the Eguchi–Hanson gravitational instanton corresponding to the k = 1 Kleinian cyclic group.

Visualizing More Quaternions endeavors to explore novel ways of thinking about challenging problems that are relevant to a broad audience involved in a wide variety of scientific disciplines.
By:  
Imprint:   Morgan Kaufmann
Country of Publication:   United Kingdom
Dimensions:   Height: 235mm,  Width: 191mm, 
Weight:   450g
ISBN:   9780323992022
ISBN 10:   0323992021
Pages:   600
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active

Andrew J. Hanson Ph.D. is an Emeritus Professor of Computer Science at Indiana University. He earned a bachelor’s degree in Chemistry and Physics from Harvard University in 1966 and a PhD in Theoretical Physics from MIT under Kerson Huang in 1971. His interests range from general relativity to computer graphics, artificial intelligence, and bioinformatics; he is particularly concerned with applications of quaternions and with exploitation of higher-dimensional graphics for the visualization of complex scientific contexts such as Calabi-Yau spaces. He is the co-discoverer of the Eguchi-Hanson “gravitational instanton” Einstein metric (1978), author of Visualizing Quaternions (Elsevier, 2006), and designer of the iPhone Apps “4Dice” and “4DRoom” (2012) for interacting with four-dimensional virtual reality.

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