Advanced Linear Algebra
2nd Edition
Published on 20. April 2005
Book
Hardback
XVI, 486 pages
978-0-387-24766-3 (ISBN)
Description
Covers a notably broad range of topics, including some topics not generally found in linear algebra books
Contains a discussion of the basics of linear algebra
More details
Series
Edition
2nd ed.
Language
English
Place of publication
NY
United States
Target group
College/higher education
Edition type
Revised edition
Illustrations
18 s/w Abbildungen
18 illus.
Dimensions
Height: 23.5 cm
Width: 15.5 cm
Thickness: 28 mm
Weight
880 gr
ISBN-13
978-0-387-24766-3 (9780387247663)
DOI
10.1007/0-387-27474-X
Schweitzer Classification
Other editions
New editions
Additional editions
Previous edition
Person
Dr. Roman has authored 32 books, including a number of books on mathematics, such as Introduction to the Finance of Mathematics, Coding and Information Theory, and Field Theory, published by Springer-Verlag. He has also written Modules in Mathematics, a series of 15 small books designed for the general college-level liberal arts student. Besides his books for O'Reilly, Dr. Roman has written two other computer books, both published by Springer-Verlag.
Content
* Vector Spaces * Linear Transformations * The Isomorphism Theorems * Modules I: Basic Properties * Modules II: Free and Noetherian Modules * Modules over a Principal Ideal Domain * The Structure of a Linear Operator * Eigenvalues and Eigenvectors * Real and Complex Inner Product Spaces * Structure Theory for Normal Operators * Metric Vector Spaces: The Theory of Bilinear Forms * Metric Spaces * Hilbert Spaces * Tensor Products * Positive Solutions to Linear Systems: Convexity and Separation * Affine Geometry * Operator Factorizations: QR and Singular Value * The Umbral Calculus * References * Index