03332nam a22004215i 4500 978-0-387-48947-6 DE-He213 20260521091922.0 cr nn 008mamaa 100301s2007 xxu| s |||| 0|eng d 9780387489476 99780387489476 10.1007/978-0-387-48947-6 doi CICY 512.5 23 Shores, Thomas S. author. Applied Linear Algebra and Matrix Analysis [recurso electrónico] / by Thomas S. Shores. New York, NY : Springer New York, 2007. online resource. text txt rdacontent computer c rdamedia recurso en línea cr rdacarrier text file PDF rda Undergraduate Texts in Mathematics, 0172-6056 Linear Systems Of Equations -- Matrix Algebra -- Vector Spaces -- Geometrical Aspects Of Standard Spaces -- The Eigenvalue Problem -- Geometrical Aspects Of Abstract Spaces. This 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. MATHEMATICS. MATRIX THEORY. MATHEMATICS. LINEAR AND MULTILINEAR ALGEBRAS, MATRIX THEORY. SpringerLink (Online service) Springer eBooks Printed edition: 9780387331942 Undergraduate Texts in Mathematics, 0172-6056 http://dx.doi.org/10.1007/978-0-387-48947-6 Ver el texto completo en las instalaciones del CICY ddc ER 33752 33752 0 0 ddc 0 0 LE CICY CICY EL 2025-07-10 0 512.5 2025-07-10 08:40:03 2025-07-10 ER