An Introduction to Abstract Algebra
Publisher: Bookboon.com
Published: 2013
ISBN-13: 9788740303674
Table of contents: title: Content; title: 1. Preliminaries; title: 1.1. Introduction to Abstract Algebra; title: 1.2. Logic and Proof; title: 1.3. Set Theory; title: 1.4. Mappings and Equivalence Relations; title: 2. Group Theory; title: 2.1. Binary Operations; title: 2.2. Introduction to Groups; title: 2.3. Cyclic Groups; title: 2.4. Dihedral Groups; title: 2.5. Groups of Permutations; title: 2.6. Alternating Groups; title: 2.7. Subgroups; title: 2.8. Homomorphisms and Isomorphisms; title: 2.9. Cosets and Normal Subgroups; title: 2.10. Quotient Groups; title: 2.11. Direct Products; title: 2.12. Catalog of Finite Groups; title: 3. Field Theory; title: 3.1. Introduction to Fields; title: 3.2. Polynomials; title: 3.3. Irreduciblity; title: 3.4. Vector Spaces; title: 3.5. Extension Fields; title: 3.6. Algebraic Extensions; title: 3.7. Geometric Constructions; title: 4. Ring Theory; title: 4.1. Introduction to Rings; title: 4.2. Integral Domains; title: 4.3. Ideals; title: 5. Bibliography