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A Polynomial Approach to Linear Algebra (Universitext) - Softcover

 
9780387946436: A Polynomial Approach to Linear Algebra (Universitext)

Synopsis

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. Finally there is a chapter on Hankel norm approximation for the case of scalar rational functions which allows the reader to access ideas and results on the frontier of current research.

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About the Author

Paul Fuhrmann is a Professor in the Department of Mathematics at Ben-Gurion University of the Negev.

Review

From the reviews of the second edition:

“This interesting and unusual text shows that the connections between linear algebra and polynomials go far deeper than this. ... This is certainly a linear algebra text with a distinct personality all its own. ... it can be used with profit by people interested in the special topics at the end ... or by good students in a graduate linear algebra course with a solid background in abstract algebra who are interested in learning the material in a rather nonstandard way.” (Mark Hunacek, The Mathematical Association of America, May, 2012)

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Fuhrmann, Paul A.
Published by Springer-Verlag, New York, 1996
ISBN 10: 0387946438 ISBN 13: 9780387946436
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Paperback. Condition: Very Good. New York: Springer-Verlag, 1996. 360 pp. 23.5 x 15.5 cm. Glossy stiff paper wrappers with dark blue titling to cover and spine. Sunning to spine and edges of covers near spine. 25 mm scuffed patch near tail of spine. Light rubbing to covers, with light bumping to corners. Light soil to edges of text block. Interior clean and unmarked. Binding firm with no creases or cracks. . Soft Cover. Very Good. Seller Inventory # 626344

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Fuhrmann, Paul A.
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Softcover. 1. XIII, 360 S. : graph. Darst. ; 24 cm Unread book. Like new. Minimum traces of storage. --- Ungelesenes Buch im neuwertigen Zustand. Minimale Lagerspuren. 9780387946436 Sprache: Englisch Gewicht in Gramm: 567. Seller Inventory # 200606

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Condition: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,600grams, ISBN:9780387946436. Seller Inventory # 4130113

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P. A. Fuhrmann, Paul Abraham Fuhrmann
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Trade Paperback. Condition: New. Reprint. 592 pages 100 illus., softcover. A Source Book for the History of Mathematics, but one which offers a different perspective by focusinng on algorithms. With the development of computing has come an awakening of interest in algorithms. Often neglected by historians and modern scientists, more concerned with the nature of concepts, algorithmic procedures turn out to have been instrumental in the development of fundamental ideas: practice led to theory just as much as the other way round. The purpose of this book is to offer a historical background to contemporary algorithmic practice. As New. Seller Inventory # 014019

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ISBN 10: 0387946438 ISBN 13: 9780387946436
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Trade Paperback. Condition: New. Reprint. 592 pages 100 illus., softcover. A Source Book for the History of Mathematics, but one which offers a different perspective by focusinng on algorithms. With the development of computing has come an awakening of interest in algorithms. Often neglected by historians and modern scientists, more concerned with the nature of concepts, algorithmic procedures turn out to have been instrumental in the development of fundamental ideas: practice led to theory just as much as the other way round. The purpose of this book is to offer a historical background to contemporary algorithmic practice. As New. Seller Inventory # 014018

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