Linear Algebra and Group Theory

by Smirnov, V.I.; Silverman, Richard A.

• ISBN13: 9780486482224
• ISBN10: 0486482227
• Edition: Reprint
• Format: Paperback
• Copyright: 2011-08-18
• Publisher: Dover Publications

Summary

Derived from an encyclopedic six-volume survey, this accessible text by a prominent Soviet mathematician offers a concrete approach, with an emphasis on applications. Containing material not otherwise available to English-language readers, the three-part treatment covers determinants and systems of equations, matrix theory, and group theory. Problem sets, with hints and answers, conclude each chapter. 1961 edition.

Author Biography

Vladimir Smirnov (1887–1974) was a famous Soviet mathematician whose areas of expertise included complex and conjugate functions in Euclidean spaces. His theoretical work had important applications to the propagation of waves in elastic media and the oscillation of elastic spheres.

Table of Contents

Preface

1. Determinants and Their Properties

2. Solution of Systems of Linear Equations

3. Linear Transformations

4. Quadratic Forms

5. Infinite-Dimensional Spaces

6. Reduction of Matrices to Canonical Form

7. Elements of the General Theory of Groups

8. Representations of Groups

9. Continuois Groups

Appendix

Bibliography

Hints and Answers

Index