Geodesic
Two proofs of invariance of rotor w.r.t. replacement of a basis as an example of the relationship of courses of physics and mathematics
Matematičeskoe obrazovanie, no. 2 (2022), pp. 9-12 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the paper, using the example of two different proofs of the invariance of the rotor with respect to a replacement of a basis, the methodology of teaching vector calculations in coordinates is demonstrated; the methodological justification of the need to master this technique for solving problems in physics is given; the possibility of using the studied methodology to create an interdisciplinary connection between mathematics and physics in the educational process of technical and physical areas of study of university students is shown. 
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M. R. Bortkovskaya; T. R. Stepanova. Two proofs of invariance of rotor w.r.t. replacement of a basis as an example of the relationship of courses of physics and mathematics. Matematičeskoe obrazovanie, no. 2 (2022), pp. 9-12. http://geodesic.mathdoc.fr/item/MO_2022_2_a1/

[1] L. D. Kudryavtsev, Kurs matematicheskogo analiza, v. 2, Differentsialnoe i integralnoe ischisleniya funktsii mnogikh peremennykh., FIZMATLIT, M., 2010, 424 pp.

[2] A. E. Umnov, Analiticheskaya geometriya i lineinaya algebra, ucheb. posobie, 3-e izd., ispr. i dop., MFTI, M., 2011, 544 pp. https://mipt.ru/education/chair/mathematics/study/uchebniki/Umnov-AnGeom-i-LinAl.pdf

[3] I. E. Irodov, Zadachi po obschei fizike, uchebnoe posobie, 9-e izd., ster., Izdatelstvo “Lan”, SPb, 2005, 416 pp.