Finite-Dimensional Linear Algebra

Informationen zum Autor Mark S. Gockenbach is a professor and chair of the Department of Mathematical Sciences at Michigan Technological University. Klappentext 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 solutions manual is available with qualifying course adoption. Zusammenfassung Linear algebra forms the basis for much of modern mathematics - theoretical, applied, and computational. Thsi book provides a foundation for the study of advanced mathematics and discusses applications of linear algebra to such diverse areas as combinatorics, differential equations, optimization, and approximation. Inhaltsverzeichnis 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.

Product details

• Authors: Mark Gockenbach, Mark S. Gockenbach, Mark S. (Michigan Technological Univer Gockenbach, Mark S. (Michigan Technological University Gockenbach, GOCKENBACH MARK S
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Hardback
• Released: 06.05.2010
• EAN: 9781439815632
• ISBN: 978-1-4398-1563-2
• No. of pages: 674
• Series: Discrete Mathematics and Its Applications; Discrete Mathematics and Its Applications
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra; Non-fiction book > Nature, technology > Astronomy: general, reference works; Algebra, MATHEMATICS / Algebra / General