Finite-Dimensional Linear Algebra

ISBN-13: 9781439815632 / Angielski / Twarda / 2010 / 672 str.

Mark S. Gockenbach

Opis

This text provides a broad foundation for the study of advanced mathematics and applications of linear algebra to other areas of mathematics. Featured application areas include linear ordinal differential equations, polynomial approximation, and finite element methods. It offers numerous exercises covering a range of difficulties.

Spis treści

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.

O autorze

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