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 subject–effectively holding your interest and creating a more seamless method of instruction. Filled with in-depth insights and over 600 exercises of varying difficulty, Modern Algebra with Applications, Second Edition can help anyone appreciate and understand this subject.

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. Polya 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.

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