By Lindsay N. Childs

This publication is an off-the-cuff and readable creation to better algebra on the post-calculus point. The strategies of ring and box are brought via research of the commonplace examples of the integers and polynomials. the recent examples and conception are in-built a well-motivated style and made appropriate via many purposes - to cryptography, coding, integration, historical past of arithmetic, and particularly to straight forward and computational quantity conception. The later chapters comprise expositions of Rabiin's probabilistic primality try out, quadratic reciprocity, and the category of finite fields. Over 900 routines are came upon in the course of the book.