Crystallographic texture and group representations / Chi-Sing Man.
2023
QD921
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Details
Title
Crystallographic texture and group representations / Chi-Sing Man.
Author
ISBN
9789402421583 (electronic bk.)
9402421580 (electronic bk.)
9789402421576
9402421580 (electronic bk.)
9789402421576
Published
Dordrecht : Springer, [2023]
Copyright
©2023
Language
English
Description
1 online resource (xv, 430 pages) : illustrations
Item Number
10.1007/978-94-024-2158-3 doi
Call Number
QD921
Dewey Decimal Classification
548/.7
Summary
This book starts with an introduction to quantitative texture analysis (QTA), which adopts conventions (active rotations, definition of Euler angles, Wigner D-functions) that conform to those of the present-day mathematics and physics literature. Basic concepts (e.g., orientation; orientation distribution function (ODF), orientation density function, and their relationship) are made precise through their mathematical definition. Parts II and III delve deeper into the mathematical foundations of QTA, where the important role played by group representations is emphasized. Part II includes one chapter on generalized QTA based on the orthogonal group, and Part III one on tensorial Fourier expansion of the ODF and tensorial texture coefficients. This work will appeal to students and practitioners who appreciate a precise presentation of QTA through a unifying mathematical language, and to researchers who are interested in applications of group representations to texture analysis. Previously published in the Journal of Elasticity, Volume 149, issues 1-2, April, 2022.
Note
"Previously published in Journal of elasticity, volume 149, issues 1-2, April, 2022."
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Digital File Characteristics
text file PDF
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed January 25, 2023).
Available in Other Form
Printed edition 9789402421576
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