Numbers, Rings, and Fields: A Rigorous Introduction to Numbers and Algebraic Structures - Paperback

Useful both for beginners and advanced students, this rigorous introduction to numbers and algebraic structures provides a solid foundation that's essential for higher studies. The reader, after reviewing set theory and the axiomatic of real numbers (the very foundation of the mathematical language) will progress through residual arithmetic and other fundamental subjects, to arrive at the understanding of the ubiquity of the structures of rings and fields-algebraic structures that provide unity and economy of thought. Equations, polynomials, quaternions, and octonions, complete the contents of this outstanding work, which combines rigor and clarity.