An Introduction to the Theory of Linear Spaces

by Georgi E. Shilov, Richard A. Silverman

Overview

This introduction to linear algebra and functional analysis offers a clear expository treatment, viewing algebra, geometry, and analysis as parts of an integrated whole rather than separate subjects. All abstract ideas receive a high degree of motivation, and numerous examples illustrate many different fields of mathematics. Abundant problems include hints or answers.

Product Details

ISBN-13:	9780486630700
Publisher:	Dover Publications
Publication date:	11/18/2010
Series:	Dover Books on Mathematics
Pages:	320
Product dimensions:	5.30(w) x 8.40(h) x 0.70(d)

About the Author

Soviet mathematician Georgi E. Shilov (1917-75) was a longtime Professor of Mathematics at Moscow State University and the author of several other successful Dover reprints.

Table of Contents

1. Determinants
2. Linear Spaces
3. Systems of Linear Equations
4. Linear Functions of a Vector Argument
5. Coordinate Transformations
6. Bilinear and Quadratic Forms
7. Euclidean Spaces
8. Orthogonalization and the Measurement of Volume
9. Invariant Subspaces and Eigenvectors
10. Quadratic Forms in a Euclidean Space
11. Quadric Surfaces
12. Infinite-Dimensional Euclidean Spaces
Bibliography
Index