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Visualizing More Quaternions by Andrew J. Hanson: New
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eBay-Artikelnr.:277228753301
Artikelmerkmale
- Artikelzustand
- Publication Date
- 2024-07-08
- Book Title
- Visualizing More Quaternions
- ISBN
- 9780323992022
Über dieses Produkt
Product Identifiers
Publisher
Elsevier Science & Technology
ISBN-10
0323992021
ISBN-13
9780323992022
eBay Product ID (ePID)
10057245130
Product Key Features
Number of Pages
600 Pages
Language
English
Publication Name
Visualizing more Quaternions
Publication Year
2024
Subject
General, Applied
Type
Textbook
Subject Area
Mathematics
Format
Hardcover
Dimensions
Item Length
9.2 in
Item Width
7.5 in
Additional Product Features
Intended Audience
Scholarly & Professional
Dewey Edition
23
Dewey Decimal
512.5
Table Of Content
1. Introduction and Review of Quaternion Methodology 2. Synopsis of Useful Applications of Quaternions 3. Quaternion maps of global protein orientation-frame structure 4. Quaternion methods for the Root Mean Square Deviation (RMSD) problem 5. Quaternion methods for the Quaternion Frame Alignment (QFA) problem for 3D molecular and protein structures 6. Quaternion methods for the RMSD coordinate matching problem in 4D 7. Quaternion methods for Quaternion Frame Alignment QFA of molecular and protein structures in 4D 8. Quaternion methods for the robotics hand-eye matching problem 9. Quaternion methods for the machine vision multicamera alignment problem 10. Elements and applications of Dual Quaternions for 6 degree-of-freedom motion analysis 11. Bar-Itzhack method for finding quaternions from numerical rotation matrices 12. Methods for calculating the quaternion barycenter 13. Quaternion frame approach to Cryo-Electron-Microscopy 14. Extraction of quaternion camera viewpoint information from 3D data using deep AI and machine learning methods 15. Quaternion projective geometry and invariant cross-ratios 16. Special Relativity using complexified quaternions18. Relativistic spinning top dynamics with quaternions 17. Skyrmions in Quaternion Form 18. Quaternion maps of the Kleinian Groups 19. Extension of quaternion shape matching methods in 3D and 4D to arbitrary dimension N using Clifford Algebras 20. Conclusion and Philosophical Remarks on Quaternions
Synopsis
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.
LC Classification Number
QA196.H3 2024
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