000 02819nam a22005055i 4500
001 978-94-024-2158-3
003 DE-He213
005 20240207153515.0
007 cr nn 008mamaa
008 230113s2023 ne | s |||| 0|eng d
020 _a9789402421583
_9978-94-024-2158-3
050 4 _aTA401-492
072 7 _aTGM
_2bicssc
072 7 _aTEC021000
_2bisacsh
072 7 _aTGM
_2thema
082 0 4 _a620.11
_223
100 1 _aMan, Chi-Sing.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aCrystallographic Texture and Group Representations
_h[electronic resource] /
_cby Chi-Sing Man.
250 _a1st ed. 2023.
264 1 _aDordrecht :
_bSpringer Netherlands :
_bImprint: Springer,
_c2023.
300 _aXV, 430 p. 4 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
500 _aAcceso multiusuario
520 _aThis 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.
541 _fUABC ;
_cPerpetuidad
650 0 _aMaterials.
650 0 _aMathematics.
650 0 _aMaterials
_xAnalysis.
650 1 4 _aMaterials Engineering.
650 2 4 _aApplications of Mathematics.
650 2 4 _aCharacterization and Analytical Technique.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9789402421576
856 4 0 _zLibro electrónico
_uhttp://libcon.rec.uabc.mx:2048/login?url=https://doi.org/10.1007/978-94-024-2158-3
912 _aZDB-2-ENG
912 _aZDB-2-SXE
942 _cLIBRO_ELEC
999 _c260871
_d260870