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Crystallographic texture and group representations

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Crystallographic texture and group representationsby Chi-Sing Man.
作者:	Man, Chi-Sing.
出版者:	Dordrecht :Springer Netherlands :2023.
面頁冊數:	xv, 430 p. :ill., digital ;24 cm.
附註:	"Previously published in Journal of elasticity, volume 149, issues 1-2, April, 2022."
Contained By:	Springer Nature eBook
標題:	Texture (Crystallography)
電子資源:	https://doi.org/10.1007/978-94-024-2158-3
ISBN:	9789402421583$q(electronic bk.)

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$q(electronic bk.)

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

225321
Texture (Crystallography)

LC Class. No.: QD921

Dewey Class. No.: 548.7

Crystallographic texture and group representations
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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.
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650 0 $a Representations of groups. $3 191076
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