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Abstract Algebra eBooks . We hope mathematician or person who’s interested in mathematics like these books.

Abstract Algebra written by Irena Swanson
. This is an other great mathematics book cover the following topics of Problem Solving.

Definition and examples

What follows immediately from the definition

Bijections

Commutativity

Frequent groups and groups with names

Group generators

Subgroups

Plane groups

Orders of groups and elements

One-generated subgroups

The Euler φ function – an aside

Permutation groups

Group homomorphisms

Group isomorphisms

Group actions

Cosets and Lagrange’s Theorem

RSA public key encryption scheme

Stabilizers, orbits

Centralizer and the class equation

External direct products/sums

Normal subgroups

Factor (or quotient) groups

The internal direct product

The isomorphism theorems

Fundamental Theorem of Finite Abelian Groups

Sandpile groups

Rings

Some unsurprising definitions

Something new: ideals

More that’s new: characteristic of a ring

Quotient (or factor) rings

(Integral) Domains

Prime ideals and maximal ideals

Division algorithm in polynomial rings

Irreducibility

Unique factorization domains

Monomial orderings (all in exercises)

Modules

Finitely generated modules over principal ideal domains