A Book of Abstract Algebra, Second Edition (1982)
Chapter 1. WHY ABSTRACT ALGEBRA?
Chapter 3. THE DEFINITION OF GROUPS
Chapter 4. ELEMENTARY PROPERTIES OF GROUPS
Chapter 7. GROUPS OF PERMUTATIONS
Chapter 8. PERMUTATIONS OF A FINITE SET
Chapter 10. ORDER OF GROUP ELEMENTS
Chapter 12. PARTITIONS AND EQUIVALENCE RELATIONS
Chapter 16. THE FUNDAMENTAL HOMOMORPHISM THEOREM
Chapter 17. RINGS: DEFINITIONS AND ELEMENTARY PROPERTIES
Chapter 18. IDEALS AND HOMOMORPHISMS
Chapter 22. FACTORING INTO PRIMES
Chapter 23. ELEMENTS OF NUMBER THEORY (OPTIONAL)
Chapter 24. RINGS OF POLYNOMIALS
Chapter 25. FACTORING POLYNOMIALS
Chapter 26. SUBSTITUTION IN POLYNOMIALS
Chapter 27. EXTENSIONS OF FIELDS
Chapter 29. DEGREES OF FIELD EXTENSIONS
Chapter 31. GALOIS THEORY: PREAMBLE
Chapter 32. GALOIS THEORY: THE HEART OF THE MATTER
Chapter 33. SOLVING EQUATIONS BY RADICALS
APPENDIX A. REVIEW OF SET THEORY
APPENDIX B. REVIEW OF THE INTEGERS