03411nam a22004455i 4500001001800000003000900018005001700027007001500044008004100059020003700100024003500137050001400172072001600186072002300202082001400225100003100239245009400270264004600364300004400410336002600454337002600480338003600506347002400542490005100566505017800617520175300795650001702548650001902565650001302584650001702597650005202614710003402666773002002700776003602720830005102756856004802807912001402855999001902869952007702888978-0-387-48947-6DE-He21320180115171409.0cr nn 008mamaa100301s2007 xxu| s |||| 0|eng d a97803874894769978-0-387-48947-67 a10.1007/978-0-387-48947-62doi 4aQA184-205 7aPBF2bicssc 7aMAT0020502bisacsh04a512.52231 aShores, Thomas S.eauthor.10aApplied Linear Algebra and Matrix Analysish[electronic resource] /cby Thomas S. Shores. 1aNew York, NY :bSpringer New York,c2007. aXII, 384 p. 27 illus.bonline resource. atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda1 aUndergraduate Texts in Mathematics,x0172-60560 aLinear Systems Of Equations -- Matrix Algebra -- Vector Spaces -- Geometrical Aspects Of Standard Spaces -- The Eigenvalue Problem -- Geometrical Aspects Of Abstract Spaces. 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. 0aMathematics. 0aMatrix theory. 0aAlgebra.14aMathematics.24aLinear and Multilinear Algebras, Matrix Theory.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9780387331942 0aUndergraduate Texts in Mathematics,x0172-605640uhttp://dx.doi.org/10.1007/978-0-387-48947-6 aZDB-2-SMA c369524d369524 001040708EBookaelibbelibd2018-01-15r2018-01-15w2018-01-15yEBOOK