Borrow it
 Architecture Library
 Bizzell Memorial Library
 Boorstin Collection
 Chinese Literature Translation Archive
 Engineering Library
 Fine Arts Library
 Harry W. Bass Business History Collection
 History of Science Collections
 John and Mary Nichols Rare Books and Special Collections
 Library Service Center
 Price College Digital Library
 Western History Collections
The Resource A Polynomial Approach to Linear Algebra, by Paul A. Fuhrmann, (electronic resource)
A Polynomial Approach to Linear Algebra, by Paul A. Fuhrmann, (electronic resource)
Resource Information
The item A Polynomial Approach to Linear Algebra, by Paul A. Fuhrmann, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item A Polynomial Approach to Linear Algebra, by Paul A. Fuhrmann, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 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^{\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)
 Language

 eng
 eng
 Edition
 2nd ed.
 Extent
 1 online resource (421 p.)
 Note
 Description based upon print version of record
 Contents

 Preliminaries
 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
 Isbn
 9781461403388
 Label
 A Polynomial Approach to Linear Algebra
 Title
 A Polynomial Approach to Linear Algebra
 Statement of responsibility
 by Paul A. Fuhrmann
 Language

 eng
 eng
 Summary
 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^{\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)
 http://library.link/vocab/creatorName
 Fuhrmann, Paul A
 Dewey number
 512.5
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 3ZruVWJzaP0
 Language note
 English
 LC call number
 QA184205
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement

 Universitext
 Universitext,
 http://library.link/vocab/subjectName

 Matrix theory
 Systems theory
 Mathematical optimization
 Linear and Multilinear Algebras, Matrix Theory
 Systems Theory, Control
 Calculus of Variations and Optimal Control; Optimization
 Label
 A Polynomial Approach to Linear Algebra, by Paul A. Fuhrmann, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references (p. 403405) and index
 Carrier category
 online resource
 Carrier category code
 cr
 Content category
 text
 Content type code
 txt
 Contents
 Preliminaries  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
 Dimensions
 unknown
 Edition
 2nd ed.
 Extent
 1 online resource (421 p.)
 Form of item
 online
 Isbn
 9781461403388
 Media category
 computer
 Media type code
 c
 Other control number
 10.1007/9781461403388
 Specific material designation
 remote
 System control number

 (CKB)3390000000021203
 (EBL)3070361
 (SSID)ssj0000610566
 (PQKBManifestationID)11381074
 (PQKBTitleCode)TC0000610566
 (PQKBWorkID)10639420
 (PQKB)11488992
 (DEHe213)9781461403388
 (MiAaPQ)EBC3070361
 (EXLCZ)993390000000021203
 Label
 A Polynomial Approach to Linear Algebra, by Paul A. Fuhrmann, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references (p. 403405) and index
 Carrier category
 online resource
 Carrier category code
 cr
 Content category
 text
 Content type code
 txt
 Contents
 Preliminaries  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
 Dimensions
 unknown
 Edition
 2nd ed.
 Extent
 1 online resource (421 p.)
 Form of item
 online
 Isbn
 9781461403388
 Media category
 computer
 Media type code
 c
 Other control number
 10.1007/9781461403388
 Specific material designation
 remote
 System control number

 (CKB)3390000000021203
 (EBL)3070361
 (SSID)ssj0000610566
 (PQKBManifestationID)11381074
 (PQKBTitleCode)TC0000610566
 (PQKBWorkID)10639420
 (PQKB)11488992
 (DEHe213)9781461403388
 (MiAaPQ)EBC3070361
 (EXLCZ)993390000000021203
Library Locations

Architecture LibraryBorrow itGould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US35.205706 97.445050



Chinese Literature Translation ArchiveBorrow it401 W. Brooks St., RM 414, Norman, OK, 73019, US35.207487 97.447906

Engineering LibraryBorrow itFelgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US35.205706 97.445050

Fine Arts LibraryBorrow itCatlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US35.210371 97.448244

Harry W. Bass Business History CollectionBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

History of Science CollectionsBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

John and Mary Nichols Rare Books and Special CollectionsBorrow it401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US35.207487 97.447906


Price College Digital LibraryBorrow itAdams Hall 102 307 West Brooks St., Norman, OK, 73019, US35.210371 97.448244

Western History CollectionsBorrow itMonnet Hall 630 Parrington Oval, Rm. 300, Norman, OK, 73019, US35.209584 97.445414
Embed (Experimental)
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/APolynomialApproachtoLinearAlgebrabyPaul/PXFQN0gr1I/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.libraries.ou.edu/portal/APolynomialApproachtoLinearAlgebrabyPaul/PXFQN0gr1I/">A Polynomial Approach to Linear Algebra, by Paul A. Fuhrmann, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.libraries.ou.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.libraries.ou.edu/">University of Oklahoma Libraries</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data  Experimental
Data Citation of the Item A Polynomial Approach to Linear Algebra, by Paul A. Fuhrmann, (electronic resource)
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/APolynomialApproachtoLinearAlgebrabyPaul/PXFQN0gr1I/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.libraries.ou.edu/portal/APolynomialApproachtoLinearAlgebrabyPaul/PXFQN0gr1I/">A Polynomial Approach to Linear Algebra, by Paul A. Fuhrmann, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.libraries.ou.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.libraries.ou.edu/">University of Oklahoma Libraries</a></span></span></span></span></div>