Overview

Derived 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.

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9780486482224

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Vladimir Smirnov (1887-1974) was a famous Soviet mathematician whose areas of expertise included complex and conjugate functions in Euclidean spaces. His theoretical work had important applications to the propagation of waves in elastic media and the oscillation of elastic spheres.

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