Product Information
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.Product Identifiers
PublisherTaylor & Francis INC International Concepts
ISBN-139781439815632
eBay Product ID (ePID)93274410
Product Key Features
Number of Pages672 Pages
LanguageEnglish
Publication NameFinite-Dimensional Linear Algebra
Publication Year2010
SubjectMathematics
TypeTextbook
AuthorMark S. Gockenbach
SeriesDiscrete Mathematics and Its Applications
Dimensions
Item Height234 mm
Item Weight1066 g
Additional Product Features
Country/Region of ManufactureUnited States
Title_AuthorMark S. Gockenbach