Tools

LEADER 07026cam 2200973 i 4500

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005 20260127093919.0;

008 060817s2007 nyua b 001 0 eng ;

010 a| 2006932970;

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019 a| 594203437a| 1109704578;

020 a| 9780387331942q| (acid-free paper);

020 a| 0387331948q| (acid-free paper);

020 a| 9780387331959q| (eISBN);

020 a| 0387331956q| (eISBN);

020 a| 9780387489476;

020 a| 0387489479;

024 3 a| 9780387331942;

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049 a| EREE;

050 00 a| QA184.2b| .S56 2007;

082 00 a| 512/.52| 221| https://id.oclc.org/worldcat/ddc/E3wRfTKWGcHJvHmR6QXmMgPtGB;

084 a| 31.122| bcl;

090 a| QA184.2b| .S565 2007;

100 1 a| Shores, Thomas S.,e| author.=| ^A708629;

245 10 a| Applied linear algebra and matrix analysis /c| Thomas S. Shores.;

264 1 a| New York :b| Springer,c| 2007.;

300 a| xii, 383 pages :b| illustrations ;c| 25 cm.;

336 a| textb| txt2| rdacontent;

337 a| unmediatedb| n2| rdamedia;

338 a| volumeb| nc2| rdacarrier;

490 1 a| Undergraduate texts in mathematics;

504 a| Includes bibliographical references and index.;

505 00 t| 1.t| Linear systems of equations --g| 1.1.t| Some examples --g| 1.2.t| Notation and a review of numbers --g| 1.3.t| Gaussian elimination: basic ides --g| 1.4.t| Gaussian elimination : general procedure --g| 1.5.t| *Computational notes and projects --g| 2.t| Matrix algebra --g| 2.1.t| Matrix addition and scalar multiplication --g| 2.2.t| Matrix multiplication --g| 2.3.t| Applications of matrix arithmetic --g| 2.4.t| Special matrices and transposes --g| 2.5.t| Matrix inverses --g| 2.6.t| Basic properties of determinants --g| 2.7.t| *Computational notes and projects --g| 3.t| Vector spaces --g| 3.1.t| Definitions and basic concepts --g| 3.2.t| Subspaces --g| 3.3.t| Linear combinations --g| 3.4.t| Subspaces associated with matrices and operators --g| 3.5.t| Bases and dimension --g| 3.6.t| Linear systems revisited --g| 3.7.t| *Computational notes and projects --g| 4.t| Geometrical aspects of standard spaces --g| 4.1.t| Standard norm and inner product --g| 4.2.t| Applications of norms and inner products --g| 4.3.t| Orthogonal and unitary matrices --g| 4.4.t| *Change of basis and linear operators --g| 4.5.t| *Computational notes and projects.;

505 00 g| 5.t| The Eigenvalue problem --g| 5.1.t| Definitions and basic properties --g| 5.2.t| Similarity and diagonalization --g| 5.3.t| Applications to discrete dynamical systems --g| 5.4.t| Orthogonal diagonalization --g| 5.5.t| *Schur form and applications --g| 5.6. *Thet| singular value decomposition --g| 5.7.t| *Computational notes and projects --g| 6.t| Geometrical aspects of abstract spaces --g| 6.1.t| Normed spaces --g| 6.2.t| Inner product spaces --g| 6.3.t| Gram-Schmidt algorithm --g| 6.4.t| Linear systems revisited --g| 6.5.t| *Operator norms --g| 6.6.t| *Computational notes and projects --t| Table of symbols --t| Solutions to selected exercises --t| References --t| Index.;

520 1 a| "This book offers a fresh approach to matrix and linear algebra by providing a balanced blend of applications, theory, and computation, while highlighting their interdependence. Intended for a one-semester course, Applied Linear Algebra and Matrix Analysis places special emphasis on linear algebra as an experimental science, with numerous examples, computer exercises, and projects. While the flavor is heavily computational and experimental, the text is independent of any specific hardware or software platforms." "For many students, the tools of matrix and linear algebra will be as fundamental in their professional work as the tools of calculus; thus it is important to ensure that students appreciate the utility and beauty of these subjects as well as the mechanics. By including applied mathematics and mathematical modeling, this textbook will teach students how concepts of matrix and linear algebra make concrete problems workable."--Jacket.;

650 0 a| Algebras, Linear.=| ^A26285;

650 0 a| Matrix analytic methods.=| ^A1096794;

650 0 a| Algebras, Linearv| Textbooks.=| ^A26285;

650 0 a| Algebras, Linearv| Problems, exercises, etc.=| ^A990009;

650 0 a| Vector algebrav| Textbooks.=| ^A73610;

650 0 a| Vector algebrav| Problems, exercises, etc.=| ^A73610;

650 7 a| Vector algebra.2| fast0| (OCoLC)fst01164648;

650 7 a| Algebras, Linear.2| fast0| (OCoLC)fst00804946;

650 7 a| Matrix analytic methods.2| fast0| (OCoLC)fst01739436;

650 7 a| Lineare Algebra.2| gnd0| (DE-588)4035811-2;

650 7 a| Matrizenalgebra.2| gnd0| (DE-588)4139347-8;

650 7 a| Álgebra linear.2| larpcal;

650 7 a| Matrizes.2| larpcal;

650 7 a| Linjär algebra.2| sao;

650 7 a| Matriser (matematik)2| sao;

655 7 a| Textbooks.2| fast0| (OCoLC)fst01423863;

655 7 a| Problems and exercises.2| fast0| (OCoLC)fst01423783;

758 i| has work:a| Applied linear algebra and matrix analysis (Text)1| https://id.oclc.org/worldcat/entity/E39PCGTkrK8JhfVbkFGV6Crvf34| https://id.oclc.org/worldcat/ontology/hasWork;

830 0 a| Undergraduate texts in mathematics.=| ^A236098;

856 41 3| Table of contentsu| http://catdir.loc.gov/catdir/toc/fy0706/2006932970.html;

856 41 3| Table of contentsq| application/pdfu| http://swbplus.bsz-bw.de/bsz255771169inh.htmv| 20090303190932;

856 41 u| https://doi.org/10.1007/978-0-387-48947-6z| Rutgers restrictedz| Full text available from Springer;

856 42 3| Publisher descriptionu| http://catdir.loc.gov/catdir/enhancements/fy0824/2006932970-d.html;

856 4 3| Coverq| text/htmlu| http://swbplus.bsz-bw.de/bsz255771169cov.htm;

856 4 3| Inhaltstextu| http://deposit.ddb.de/cgi-bin/dokserv?id=2779385&prov=M&dok_var=1&dok_ext=htm;

856 4 3| Vorwort 1q| application/pdfu| http://swbplus.bsz-bw.de/bsz255771169vor.htmv| 20081120103215;

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938 a| Baker & Taylorb| BKTYc| 69.95d| 69.95i| 0387331948n| 0006757482s| active;

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999 a| QA184.2 .S565 2007w| LCc| 1i| 30372014063777d| 12/3/2013e| 8/26/2013f| 3/25/2013g| 1l| JGESm| JOYNERn| 2p| $58.76q| 2r| Ys| Yt| JGESBKu| 2/19/2007x| BOOKz| JSTACKSo| .STAFF. 0;

Applied linear algebra and matrix analysis / Thomas S. Shores.

Author/creator	Shores, Thomas S. author.
Format	Book
Publication	New York : Springer, 2007.
Copyright Date	©2007
Description	xii, 383 pages : illustrations ; 25 cm.
Supplemental Content	Table of contents
Supplemental Content	Table of contents
Supplemental Content	Rutgers restricted Full text available from Springer
Supplemental Content	Publisher description
Supplemental Content	Cover
Supplemental Content	Inhaltstext
Supplemental Content	Vorwort 1
Subjects	Algebras, Linear. Matrix analytic methods. Algebras, Linear--Textbooks. Algebras, Linear--Problems, exercises, etc. Vector algebra--Textbooks. Vector algebra--Problems, exercises, etc.

Series	Undergraduate texts in mathematics Undergraduate texts in mathematics. ^A236098
Contents	1. Linear systems of equations -- 1.1. Some examples -- 1.2. Notation and a review of numbers -- 1.3. Gaussian elimination: basic ides -- 1.4. Gaussian elimination : general procedure -- 1.5. Computational notes and projects -- 2. Matrix algebra -- 2.1. Matrix addition and scalar multiplication -- 2.2. Matrix multiplication -- 2.3. Applications of matrix arithmetic -- 2.4. Special matrices and transposes -- 2.5. Matrix inverses -- 2.6. Basic properties of determinants -- 2.7. Computational notes and projects -- 3. Vector spaces -- 3.1. Definitions and basic concepts -- 3.2. Subspaces -- 3.3. Linear combinations -- 3.4. Subspaces associated with matrices and operators -- 3.5. Bases and dimension -- 3.6. Linear systems revisited -- 3.7. Computational notes and projects -- 4. Geometrical aspects of standard spaces -- 4.1. Standard norm and inner product -- 4.2. Applications of norms and inner products -- 4.3. Orthogonal and unitary matrices -- 4.4. Change of basis and linear operators -- 4.5. *Computational notes and projects.
Contents	5. The Eigenvalue problem -- 5.1. Definitions and basic properties -- 5.2. Similarity and diagonalization -- 5.3. Applications to discrete dynamical systems -- 5.4. Orthogonal diagonalization -- 5.5. Schur form and applications -- 5.6. The singular value decomposition -- 5.7. Computational notes and projects -- 6. Geometrical aspects of abstract spaces -- 6.1. Normed spaces -- 6.2. Inner product spaces -- 6.3. Gram-Schmidt algorithm -- 6.4. Linear systems revisited -- 6.5. Operator norms -- 6.6. *Computational notes and projects -- Table of symbols -- Solutions to selected exercises -- References -- Index.
Review	"This book offers a fresh approach to matrix and linear algebra by providing a balanced blend of applications, theory, and computation, while highlighting their interdependence. Intended for a one-semester course, Applied Linear Algebra and Matrix Analysis places special emphasis on linear algebra as an experimental science, with numerous examples, computer exercises, and projects. While the flavor is heavily computational and experimental, the text is independent of any specific hardware or software platforms." "For many students, the tools of matrix and linear algebra will be as fundamental in their professional work as the tools of calculus; thus it is important to ensure that students appreciate the utility and beauty of these subjects as well as the mechanics. By including applied mathematics and mathematical modeling, this textbook will teach students how concepts of matrix and linear algebra make concrete problems workable."--Jacket.
Bibliography note	Includes bibliographical references and index.
Genre/form	Textbooks.
Genre/form	Problems and exercises.
LCCN	2006932970
ISBN	9780387331942 (acid-free paper)
ISBN	0387331948 (acid-free paper)
ISBN	9780387331959 (eISBN)
ISBN	0387331956 (eISBN)
ISBN	9780387489476
ISBN	0387489479
Standard identifier#	9780387331942
Publisher number	11556145

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Applied linear algebra and matrix analysis / Thomas S. Shores.

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