A Gentle Introduction To Abstract Algebra by B.A. Sethuraman

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A Gentle Introduction To Abstract Algebra written by B.A. Sethuraman
. This is an other great mathematics book cover the following topics.

To the Student: How to Read a Mathematics Book

To the Student: Proofs

Divisibility in the Integers Further Exercises

Rings and Fields Rings: Definition and Examples, Subrings, Integral Domains and Fields, Ideals, Quotient Rings, Ring Homomorphisms and Isomorphisms, Further Exercises

Vector Spaces Vector Spaces: Definition and Examples, Linear Independence, Bases, Dimension, Subspaces and Quotient Spaces, Vector Space Homomorphisms: Linear Transformations, Further Exercises

Groups Groups: Definition and Examples, Subgroups, Cosets, Lagrange’s Theorem, Normal Subgroups, Quotient Groups, Group Homomorphisms and Isomorphisms, Further Exercises