MARC Record from harvard_bibliographic_metadata

LEADER: 02559cam a2200373Ma 4500
001 013077098-1
005 20140910154304.0
008 110809s2012 nyu b 001 0 eng d
015 $aGBB196953$2bnb
016 7 $a015869344$2Uk
020 $a9781461403371 (pbk.)
020 $a1461403375 (pbk.)
035 0 $aocn751752898
040 $aUKMGB$beng$cUKMGB$dOHX$dYDXCP$dBWX
050 $aQA184$b.F8 2012
082 04 $a512.5$223
100 1 $aFuhrmann, Paul Abraham.
245 12 $aA polynomial approach to linear algebra /$cPaul A. Fuhrmann.
250 $a2nd ed.
260 $aNew York ;$aLondon :$bSpringer,$cc2012.
300 $axvi, 411 p. ;$c24 cm.$c24 cm.
490 1 $aUniversitext
504 $aIncludes bibliographical references (p. 403-405) and index.
505 0 $aPreliminaries -- Linear Spaces -- Determinants -- Linear Transformations -- The Shift Operator -- Structure Theory of Linear Transformations -- Inner Product Spaces -- Quadratic Forms -- Stability -- Elements of System Theory -- Hankel Norm Approximation.
520 $aA 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 {\nfty} functions, and tensor products of models. Review from first edition: “…the approach pursued by the author is of unconventional beauty and the material covered by the book is unique.” (Mathematical Reviews, A. Böttcher)
650 0 $aAlgebras, Linear.
650 0 $aMathematical optimization.
650 0 $aMathematics.
650 0 $aMatrix theory.
650 0 $aSystems theory.
830 0 $aUniversitext.
988 $a20120125
049 $aCLSL
906 $0OCLC