Finite-Dimensional Linear Algebra

Mark S. Gockenbach

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English

CRC Press
14 October 2024

Algebra; Physics; Life sciences: general issues

Series: Discrete Mathematics and Its Applications

Linear algebra forms the basis for much of modern mathematics—theoretical, applied, and computational. Finite-Dimensional Linear Algebra provides a solid foundation for the study of advanced mathematics and discusses applications of linear algebra to such diverse areas as combinatorics, differential equations, optimization, and approximation.

The author begins with an overview of the essential themes of the book: linear equations, best approximation, and diagonalization. He then takes students through an axiomatic development of vector spaces, linear operators, eigenvalues, norms, and inner products. In addition to discussing the special properties of symmetric matrices, he covers the Jordan canonical form, an important theoretical tool, and the singular value decomposition, a powerful tool for computation. The final chapters present introductions to numerical linear algebra and analysis in vector spaces, including a brief introduction to functional analysis (infinite-dimensional linear algebra).

Drawing on material from the author’s own course, this textbook gives students a strong theoretical understanding of linear algebra. It offers many illustrations of how linear algebra is used throughout mathematics.

By: Mark S. Gockenbach
Imprint: CRC Press
Country of Publication: United Kingdom
Dimensions: Height: 234mm, Width: 156mm,
Weight: 1.242kg
ISBN: 9781032917856
ISBN 10: 1032917857
Series: Discrete Mathematics and Its Applications
Pages: 674
Publication Date: 14 October 2024
Audience: College/higher education , Primary
Format: Paperback
Publisher's Status: Active

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