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Papantonopoulou, Aigli : College of New Jersey
Preface.
0. Background.
A. Group Theory.
1. Groups.
2. Group Homomorphisms.
3. Direct Products and Abelian Groups.
4. Group Actions.
5. Composition Series.
B. Rings and Fields.
6. Rings.
7. Ring Homomorphisms.
8. Rings of Polynomials.
9. Euclidean Domains.
10. Field Theory.
11. Geometric Constructions.
12. Galois Theory.
13. Historical Notes.
C. Selected Topics.
14. Symmetries.
15. Gröbner Bases.
16. Coding Theory.
17. Boolean Algebras.
Answers and Hints to Selected Exercises.
Bibliography.
Index.
Papantonopoulou, Aigli : College of New Jersey
Preface.
0. Background.
A. Group Theory.
1. Groups.
2. Group Homomorphisms.
3. Direct Products and Abelian Groups.
4. Group Actions.
5. Composition Series.
B. Rings and Fields.
6. Rings.
7. Ring Homomorphisms.
8. Rings of Polynomials.
9. Euclidean Domains.
10. Field Theory.
11. Geometric Constructions.
12. Galois Theory.
13. Historical Notes.
C. Selected Topics.
14. Symmetries.
15. Gröbner Bases.
16. Coding Theory.
17. Boolean Algebras.
Answers and Hints to Selected Exercises.
Bibliography.
Index.
Papantonopoulou, Aigli : College of New Jersey
Preface.
0. Background.
A. Group Theory.
1. Groups.
2. Group Homomorphisms.
3. Direct Products and Abelian Groups.
4. Group Actions.
5. Composition Series.
B. Rings and Fields.
6. Rings.
7. Ring Homomorphisms.
8. Rings of Polynomials.
9. Euclidean Domains.
10. Field Theory.
11. Geometric Constructions.
12. Galois Theory.
13. Historical Notes.
C. Selected Topics.
14. Symmetries.
15. Gröbner Bases.
16. Coding Theory.
17. Boolean Algebras.
Answers and Hints to Selected Exercises.
Bibliography.
Index.