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Crystallographic texture and group r...

Man, Chi-Sing.

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Crystallographic texture and group representations

Record Type:	Electronic resources : Monograph/item
Title/Author:	Crystallographic texture and group representations/ by Chi-Sing Man.
Author:	Man, Chi-Sing.
Published:	Dordrecht :Springer Netherlands : : 2023.,
Description:	xv, 430 p. :ill., digital ;24 cm.
Notes:	"Previously published in Journal of elasticity, volume 149, issues 1-2, April, 2022."
Contained By:	Springer Nature eBook
Subject:	Texture (Crystallography) -
Online resource:	https://doi.org/10.1007/978-94-024-2158-3
ISBN:	9789402421583

Crystallographic texture and group representations
Man, Chi-Sing.

Crystallographic texture and group representations[electronic resource] /by Chi-Sing Man. - Dordrecht :Springer Netherlands :2023. - xv, 430 p. :ill., digital ;24 cm.

"Previously published in Journal of elasticity, volume 149, issues 1-2, April, 2022."

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.

ISBN: 9789402421583

Standard No.: 10.1007/978-94-024-2158-3doiSubjects--Topical Terms:

745548
Texture (Crystallography)

LC Class. No.: QD921

Dewey Class. No.: 548.7

Crystallographic texture and group representations
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100 1 $a Man, Chi-Sing. $3 831905
245 1 0 $a Crystallographic texture and group representations $h [electronic resource] / $c by Chi-Sing Man.
260 $a Dordrecht : $b Springer Netherlands : $b Imprint: Springer, $c 2023.
300 $a xv, 430 p. : $b ill., digital ; $c 24 cm.
500 $a "Previously published in Journal of elasticity, volume 149, issues 1-2, April, 2022."
520 $a 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.
650 0 $a Texture (Crystallography) $3 745548
650 0 $a Representations of groups. $3 519598
650 1 4 $a Materials Engineering. $3 2071625
650 2 4 $a Applications of Mathematics. $3 890893
650 2 4 $a Characterization and Analytical Technique. $3 3538501
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-94-024-2158-3
950 $a Engineering (SpringerNature-11647)