Abstract Algebra Books Abstract algebra, as an undergraduate course, presents the following topics: mappings, operations, groups, subgroups, equivalence relations, congruence, generators, cosets, homomorphisms, isomorphisms, and quotient groups. The goal is to be able to construct correct and rigorous mathematical arguments based on definitions and theorems to prove true statements in abstract algebra. The term abstract in abstract algebra means to give a distinction from earlier elementary algebra and freshman college algebra to more advanced algebra involving the study of more abstract structures such as groups, rings, and modules.
|
