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Preface
Note to the Instructor
For the Student
Number Theory
Operations
Semigroups and Groups
Properties of Groups
Functions and Homomorphisms
Subgroups
Generating Sets, Cyclic Groups, and Products of Groups
Permutation Groups
Cayley's Theorem and the Fundamental Theorem on Finite Abelian Groups
Relations and Cosets
Lagrange's Theorem
Normal Subgroups and Quotient Groups
Rings
Subrings and Ideals
Polynomial Rings
Quotient Rings and Field Extensions
Appendix A: Matrices
Appendix B: Composition of Functions and Associativity
Appendix C: Set Notation
Index