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This title in other editions

Applied Linear Algebra and Matrix Analysis (Undergraduate Texts in Mathematics)

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Applied Linear Algebra and Matrix Analysis (Undergraduate Texts in Mathematics) Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

This text is intended as a one or two semester sophomore level course in linear algebra. It is designed to provide a balance of applications, theory and computation, and to emphasize their interdependence.

Synopsis:

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.

Synopsis:

This text is intended for a one or two semester sophomore level course in linear algebra. It is designed to provide a balance of applications, theory and computation, and to emphasize their interdependence. The text has a strong orientation towards numerical computation and the linear algebra needed in applied mathematics. At the same time, it contains a rigorous and self-contained development of most of the traditional topics in a linear algebra course. It provides background for numerous projects, which frequently require computational tools, but is not tied to any one computational platform. A comprehensive set of exercises and projects is included.

Table of Contents

Preface.- Linear Systems of Equations.- Matrix Algebra.- Vector Spaces.- Geometrical Aspects of Standard Spaces.- The Eigenvalue Problem.- Geometrical Aspects of Abstract Spaces.- Table of Symbols.- Answers to Selected Exercises.- References.- Index.

Product Details

ISBN:
9780387331942
Author:
Shores, Thomas S.
Publisher:
Springer
Subject:
Algebra - Linear
Subject:
Algebras, linear
Subject:
Matrix analytic methods
Subject:
Mathematics-Linear Algebra
Subject:
Linear and Multilinear Algebras, Matrix Theory
Edition Number:
3
Edition Description:
Book
Series:
Undergraduate Texts in Mathematics
Publication Date:
20061231
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
396
Dimensions:
235 x 178 mm 2150 gr

Related Subjects

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Science and Mathematics » Mathematics » General

Applied Linear Algebra and Matrix Analysis (Undergraduate Texts in Mathematics) New Hardcover
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Product details 396 pages Springer - English 9780387331942 Reviews:
"Synopsis" by , This text is intended as a one or two semester sophomore level course in linear algebra. It is designed to provide a balance of applications, theory and computation, and to emphasize their interdependence.
"Synopsis" by , 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.
"Synopsis" by , This text is intended for a one or two semester sophomore level course in linear algebra. It is designed to provide a balance of applications, theory and computation, and to emphasize their interdependence. The text has a strong orientation towards numerical computation and the linear algebra needed in applied mathematics. At the same time, it contains a rigorous and self-contained development of most of the traditional topics in a linear algebra course. It provides background for numerous projects, which frequently require computational tools, but is not tied to any one computational platform. A comprehensive set of exercises and projects is included.
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