The Modern Origin of Matrices and Their Applications

Autor/in	Debnath, L.
Titel	The Modern Origin of Matrices and Their Applications
Quelle	In: International Journal of Mathematical Education in Science and Technology, 45 (2014) 4, S.528-551 (24 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0020-739X
DOI	10.1080/0020739X.2013.851808
Schlagwörter	Matrices; Mathematics Instruction; Mathematical Concepts; Geometry; Mechanics (Physics); Numbers; Algebra; Mathematical Logic; History; Quantum Mechanics; Secondary School Mathematics; High Schools; College Mathematics; Secondary School Science; College Science + Suchen Sie Ihr Suchwort? Matrizenrechnung; Mathematics lessons; Mathematikunterricht; Geometrie; Mechanik; Zahlenraum; Mathematical logics; Mathematische Logik; Geschichte; Geschichtsdarstellung; Quantenmechanik; High school; Oberschule
Abstract	This paper deals with the modern development of matrices, linear transformations, quadratic forms and their applications to geometry and mechanics, eigenvalues, eigenvectors and characteristic equations with applications. Included are the representations of real and complex numbers, and quaternions by matrices, and isomorphism in order to show that matrices form a ring in abstract algebra. Some special matrices, including Hilbert's matrix, Toeplitz's matrix, Pauli's and Dirac's matrices in quantum mechanics, and Einstein's Pythagorean formula are discussed to illustrate diverse applications of matrix algebra. Included also is a modern piece of information that puts mathematics, science and mathematics education professionals at the forefront of advanced study and research on linear algebra and its applications. (As Provided).
Anmerkungen	Taylor & Francis, Ltd. 325 Chestnut Street Suite 800, Philadelphia, PA 19106. Tel: 800-354-1420; Fax: 215-625-2940; Web site: http://www.tandf.co.uk/journals
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10