Modern Algebra with Applications, 2nd Edition

Preface to the Second Edition.

List of Symbols.

1. Introduction.

2. Boolean Algebras.

3. Groups.

4. Quotient Groups.

5. Symmetry Groups in Three Dimensions.

6. Pólya–Burnside Method of Enumeration.

7. Monoids and Machines.

8. Rings and Fields.

9. Polynomial and Euclidean Rings.

10.Quotient Rings.

11. Field Extensions.

12. Latin Squares.

13. Geometrical Constructions.

14. Error-Correcting Codes.

Appendix 1: Proofs.

Appendix 2: Integers.

Bibliography and References.

Answers to the Odd-Numbered Exercises.

Index.