Titlebook: Matrices; Theory and Applicati Denis Serre Textbook 2010Latest edition The Editor(s) (if applicable) and The Author(s), under exclusive lic

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0072-5285 cluding but not limited to the Dunford decomposition, tensorIn this book, Denis Serre begins by providing a clean and concise introduction to the basic theory of matrices. He then goes on to give many interesting applications of matrices to different aspects of mathematics and also other areas of sc

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Square Matrices,th coefficients in .).We assume that the ring of scalars .is a commutative (meaning that the multiplication is commutative) integral domain (meaning that it does not have divisors of zero: .=0 implies either .= 0 or .= 0), with a unit denoted by 1, that is, an element satisfying 1.= .1 = .for every ...

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Approximation of Eigenvalues,.(.) = 0, where . is a polynomial of degree d ≥ 5, is not solvable using algebraic operations and roots of any order. For this reason, there exists no direct method, even an expensive one, for the computation of Sp(.).

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the main results of the Kolmogorov theory of incompressible turbulence, attempts to treat compressible turbulence with a similar theoretical framework are considered. In the case of isothermal gas, which plays an important role for the theory of star formation, an important aspect is the log-normal

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Denis Serreency and optimization of metal-forming processes. The contents of this book have therefore been carefully planned to provide both an introduction to the fundamental theory of material deformation simulation, and also a comprehensive survey of the "state-of-the-art" of deformation modelling technique