000 03382nam a22004455i 4500
001 978-0-387-48947-6
003 DE-He213
005 20161121231123.0
007 cr nn 008mamaa
008 100301s2007 xxu| s |||| 0|eng d
020 _a9780387489476
_9978-0-387-48947-6
024 7 _a10.1007/978-0-387-48947-6
_2doi
050 4 _aQA184-205
072 7 _aPBF
_2bicssc
072 7 _aMAT002050
_2bisacsh
082 0 4 _a512.5
_223
100 1 _aShores, Thomas S.
_eauthor.
245 1 0 _aApplied Linear Algebra and Matrix Analysis
_h[electronic resource] /
_cby Thomas S. Shores.
264 1 _aNew York, NY :
_bSpringer New York,
_c2007.
300 _aXII, 384 p. 27 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aUndergraduate Texts in Mathematics,
_x0172-6056
505 0 _aLinear Systems Of Equations -- Matrix Algebra -- Vector Spaces -- Geometrical Aspects Of Standard Spaces -- The Eigenvalue Problem -- Geometrical Aspects Of Abstract Spaces.
520 _aThis new 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 specific hardware or software platforms. Throughout the book, significant motivating examples are woven into the text, and each section ends with a set of exercises. The student will develop a solid foundation in the following topics *Gaussian elimination and other operations with matrices *basic properties of matrix and determinant algebra *standard Euclidean spaces, both real and complex *geometrical aspects of vectors, such as norm, dot product, and angle *eigenvalues, eigenvectors, and discrete dynamical systems *general norm and inner-product concepts for abstract vector spaces 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 new textbook will teach students how concepts of matrix and linear algebra make concrete problems workable. Thomas S. Shores is Professor of Mathematics at the University of Nebraska, Lincoln, where he has received awards for his teaching. His research touches on group theory, commutative algebra, mathematical modeling, numerical analysis, and inverse theory.
650 0 _aMathematics.
650 0 _aMatrix theory.
650 0 _aAlgebra.
650 1 4 _aMathematics.
650 2 4 _aLinear and Multilinear Algebras, Matrix Theory.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387331942
830 0 _aUndergraduate Texts in Mathematics,
_x0172-6056
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-387-48947-6
912 _aZDB-2-SMA
950 _aMathematics and Statistics (Springer-11649)
999 _c508884
_d508884