The book provides an introduction to modern abstract algebra and its applications. It covers all major topics of classical theory of numbers, groups, rings, fields and finite dimensional algebras.

Introduction. Elements of Number Theory. Elements of the Theory of Groups. Examples of Groups. Elements of the Ring Theory. Polynomial Rings. Elements of the Theory of Fields. Examples of Applications. Polynomials in Several Variables. Finite Fields and their Applications. Finite Dimensional Algebras. Applications of Quarternions and Octionions.