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A Polynomial Approach to Linear Algebra - Fuhrmann, Paul A.
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ISBN: 9781461403371

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A Polynomial Approach to Linear Algebra is a text which is heavily biased towards functional methods. In using the shift operator as a central object, it makes linear algebra a perfect introduction to other areas of mathematics, operator theory in particular. This technique is very powerful as becomes clear from the analysis of canonical forms (Frobenius, Jordan). It should be emphasized that these functional methods are not only of great theoretical interest, but lead to computational algorithms. Quadratic forms are treated from the same perspective, with emphasis on the important examples of Bezoutian and Hankel forms. These topics are of great importance in applied areas such as signal processing, numerical linear algebra, and control theory. Stability theory and system theoretic concepts, up to realization theory, are treated as an integral part of linear algebra. This new edition has been updated throughout, in particular new sections have been added on rational interpolation, interpolation using H DEGREES{\nfty} functions, and tensor products of models. Review from first edition: the approach pursed by the author is of unconventional beauty and the material covered by the book is unique. (Mathematical Reviews) A Polynomial Approach to Linear Algebra Fuhrmann, Paul A., Springer

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A Polynomial Approach to Linear Algebra - Paul A. Fuhrmann
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ISBN: 9781461403371

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Mathematics; Linear and Multilinear Algebras, Matrix Theory; Systems Theory, Control; Calculus of Variations and Optimal Control; Optimization Elements of Model reduction, Linear Algebra, Rational interpolation, Tensor products and models Books, Springer Nature

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A Polynomial Approach to Linear Algebra Polynomial-Approach-To-Linear-Algebra~~Paul-Abraham-Fuhrmann Science>Mathematics>Mathematics Paperback, Springer New York

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A Polynomial Approach to Linear Algebra - Paul A. Fuhrmann
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A Polynomial Approach to Linear Algebra - Paperback

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A Polynomial Approach to Linear Algebra Polynomial-Approach-To-Linear-Algebra~~Paul-Abraham-Fuhrmann Science>Mathematics>Mathematics Paperback, Springer New York

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2011, ISBN: 9781461403371

ID: 19613835

[ED: 2], 2nd ed. 2012, Softcover, Buch, [PU: Springer-Verlag New York Inc.]

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A Polynomial Approach to Linear Algebra (Universitext)

A Polynomial Approach to Linear Algebra" is a text which is heavily biased towards functional methods. In using the shift operator as a central object, it makes linear algebra a perfect introduction to other areas of mathematics, operator theory in particular. This technique is very powerful as becomes clear from the analysis of canonical forms (Frobenius, Jordan). It should be emphasized that these functional methods are not only of great theoretical interest, but lead to computational algorithms. Quadratic forms are treated from the same perspective, with emphasis on the important examples of Bezoutian and Hankel forms. These topics are of great importance in applied areas such as signal processing, numerical linear algebra, and control theory. Stability theory and system theoretic concepts, up to realization theory, are treated as an integral part of linear algebra. New sections added on rational interpolation, interpolation using H^{\nfty} functions and tensor products and models (scalar case). Review from first edition: "Fuhrmann has written an interesting book bring a fresh approach to the structure theory of linear transformations and containing material that is not readily available elsewhere." (New Zealand Mathematical Society Newsletter, October 1999)

Details of the book - A Polynomial Approach to Linear Algebra (Universitext)


EAN (ISBN-13): 9781461403371
ISBN (ISBN-10): 1461403375
Hardcover
Paperback
Publishing year: 2011
Publisher: Springer-Verlag GmbH
411 Pages
Weight: 0,629 kg
Language: Englisch

Book in our database since 18.10.2009 04:07:56
Book found last time on 04.01.2018 10:26:43
ISBN/EAN: 9781461403371

ISBN - alternate spelling:
1-4614-0337-5, 978-1-4614-0337-1


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