000			01619nam a2200229 4500
001			1240588
010			_a 71113864
020			_a0486626245
082	0	0	_a512.22 _bSMI/L
100	1		_aSmirnov, V. I
240	1	0	_aKurs vyssheĭ matematiki
245	1	0	_aLinear algebra and group theory
260			_aNew York _bDover Publications _c[1970, c1961]
300			_ax, 464 p.
500			_aTranslation of selected material from Kurs vyssheĭ matematiki.
520			_aDerived from an encyclopedic six-volume survey, this accessible text by a prominent Soviet mathematician offers a concrete approach to linear algebra and group theory that emphasizes applications. Containing material not otherwise available to English-language readers, it forms a highly suitable text for undergraduate students of mathematics as well as a reference for mathematicians, theoretical physicists, and engineers. The three-part approach begins with an exposition of the properties of determinants and systems of equations, including correlative material on applications. The second part provides a simple but complete treatment of matrix theory, covering covariance, contravariance, tensor algebra, eigenvalues, infinite-dimensional spaces, and reduction of matrices to canonical forms. The final section introduces various ideas of group theory, with particular emphasis on rotation and Lorentz groups. A large and rich set of problems, complete with hints and answers, concludes each chapter.
650		0	_aGroup theory.
650		0	_aAlgebras, Linear.
650		0	_aMatrices.
700	1		_aSilverman, Richard A.,
942			_cBK
999			_c64452 _d64452