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Crystallographic Texture and Group Representations - Chi-Sing Man

Crystallographic Texture and Group Representations

(Autor)

Buch | Hardcover
430 Seiten
2023 | 1st ed. 2023
Springer (Verlag)
978-94-024-2157-6 (ISBN)
CHF 249,95 inkl. MwSt
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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
Erscheinungsdatum
Zusatzinfo 4 Illustrations, black and white; XV, 430 p. 4 illus.
Verlagsort Dordrecht
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Angewandte Mathematik
Technik Maschinenbau
ISBN-10 94-024-2157-2 / 9402421572
ISBN-13 978-94-024-2157-6 / 9789402421576
Zustand Neuware
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