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Titlebook: Linear Algebra and Geometry; Igor R. Shafarevich,Alexey O. Remizov Textbook 2013 Springer-Verlag Berlin Heidelberg 2013 groups, rings, mod

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Jordan Normal Form,s applications of the Jordan normal form: raising a matrix to a power, analytic functions of matrices, solution of systems of linear differential equations with constant coefficients. Linear differential equations in the plane and their singular points are investigated in greater detail.
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Igor R. Shafarevich,Alexey O. RemizovClearly written and easy to read.Contains also rather deep and not trivial subjects and theorems and can also be useful for professionals.Good introduction to the subject.Numerous examples and applica
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https://doi.org/10.1007/978-3-642-30994-6groups, rings, modules; linear algerba; matrix; projective space; vector space; matrix theory
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Elements of Representation Theory,r instance, it is proved that every representation of a finite group is a direct sum of irreducible representations, and that a finite group has only a finite number of distinct (up to equivalence) irreducible representations. At the end of the chapter, irreducible representations (characters) of abelian finite groups are considered.
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Euclidean Spaces,atures, Euler’s formula, etc.). At the end of the chapter, pseudo-Euclidean vector spaces and Lorentz transformations (analogue of orthogonal transformations for pseudo-Euclidean spaces) are considered in greater detail.
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