Blending the theoretical with the practical in the instruction of modern algebra, "Modern Algebra with Applications, Second Edition provides interesting and important applications of this subjecteffectively holding your interest and creating a more seamless method of instruction. Filled with in-depth insights and over six hundred exercises of varying difficulty, this invaluable text can help anyone appreciate and understand this subject.
Inhaltsverzeichnis
Preface to the First 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. Pó lya-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.
