Advanced Linear Algebra
Published on 20. October 1995
Book
Hardback
XII, 370 pages
978-0-387-97837-6 (ISBN)
Description
This book covers an especially broad range of topics, including some topics not generally found in linear algebra books The first part details the basics of linear algebra. Coverage then proceeds to a discussion of modules, emphasizing a comparison with vector spaces. A thorough discussion of inner product spaces, eigenvalues, eigenvectors, and finite dimensional spectral theory follows, culminating in the finite dimensional spectral theorem for normal operators.
More details
Series
Edition
1st ed. 1992. Corr. 2nd printing
Language
English
Place of publication
NY
United States
Target group
College/higher education
Illustrations
26 figs. in 33 parts
Dimensions
Height: 23.5 cm
Width: 15.5 cm
Thickness: 20 mm
Weight
538 gr
ISBN-13
978-0-387-97837-6 (9780387978376)
DOI
10.1007/978-1-4757-2178-2
Schweitzer Classification
Other editions
New editions
Steven Roman
Advanced Linear Algebra
Book
04/2005
2nd Edition
Springer
€58.80
Article exhausted; check for reprint
Additional editions
Content
0 Preliminaries.- 1 Vector Spaces.- 2 Linear Transformations.- 3 The Isomorphism Theorems.- 4 Modules I.- 5 Modules II.- 6 Modules over Principal Ideal Domains.- 7 The Structure of a Linear Operator.- 8 Eigenvalues and Eigenvectors.- 9 Real and Complex Inner Product Spaces.- 10 The Spectral Theorem for Normal Operators.- 11 Metric Vector Spaces.- 12 Metric Spaces.- 13 Hilbert Spaces.- 14 Tensor Products.- 15 Affine Geometry.- 16 The Umbral Calculus.- References.- Index of Notation.