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A first course in linear algebra / Minking Eie, Shou-Te Chang New Jersey : World Scientific, 2016376tr. ; 24cm.This book provides a solid foundation for the theory dealing with finite dimensional vector spaces. It explains in details the relation between linear transformations and matrices. One may thus use different viewpoints to manipulate a matrix instead of a one-sided approach. Although most of the examples are for real and complex matrices, a vector space over a general field is briefly discussed. Several optional sections are devoted to applications to demonstrate the power of Linear Algebra.
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Matrices : algebra, analysis, and applications / Shmuel Friedland New Jersey : World Scientific, 2016582tr. ; 23cm.This volume presents advanced topics in matrix theory using methods from algebra, analysis, geometry, and numerical analysis. It explores new results on matrix properties over integral domains, canonical forms, and different types of matrix similarity, including analytic and rational similarity. The book also covers operators in inner product spaces, tensor products, multilinear algebra, and the theory of non-negative matrices. It is intended for graduate students and researchers in mathematics and related fields such as computer science, engineering, physics, and statistics.
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Symplectic matrices : First order systems and special relativity / Mark Kauderer Singapore : World Scientific, 1994320tr. ; 23cm.The recent developments in canonical transforms, matrix theory, block Kronecker multiplications, and other areas are applied to extend and simplify results in the theory of first order systems and special relativity
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