Finite-Dimensional Linear Algebra

by Mark S. Gockenbach

Overview

This text provides a solid foundation for the study of advanced mathematics and covers many interesting applications of linear algebra, which show how linear algebra is essential in such diverse areas as combinatorics, differential equations, optimization, and approximation. The book discusses important concepts and methods from numerical linear algebra and contains a range of exercises in each section, including some that can be solved using a computer package such as MATLAB. It also incorporates mini-projects that encourage students to develop topics not covered in the text. A forthcoming solutions manual is available for qualifying instructors.

Product Details

ISBN-13:	9781040052693
Publisher:	CRC Press
Publication date:	05/06/2010
Series:	Discrete Mathematics and Its Applications
Sold by:	Barnes & Noble
Format:	eBook
Pages:	672
File size:	2 MB

About the Author

Mark S. Gockenbach is a professor and chair of the Department of Mathematical Sciences at Michigan Technological University.

Table of Contents

Some Problems Posed on Vector Spaces. Fields and Vector Spaces. Linear Operators. Determinants and Eigenvalues. The Jordan Canonical Form. Orthogonality and Best Approximation. The Spectral Theory of Symmetric Matrices. The Singular Value Decomposition. Matrix Factorizations and Numerical Linear Algebra. Analysis in Vector Spaces. Appendices. Bibliography. Index.