This is an elementary introduction to algebra and number theory. Starting with a recalling of the preliminaries of groups, rings and fields, the topics in algebra portion consists of polynomial rings, UFD, PID and Euclidean domains, field extensions, modules and Dedckind domains. In the number theory part, apart from covering elementary congruence results, the laws of quadratic reciprocity and basics of algebraic number fields, this book attempts to give glimpse of various aspects of the subject. Thus, Warning's and Chevally's theorems in the section of finite fields and many results of...
This is an elementary introduction to algebra and number theory. Starting with a recalling of the preliminaries of groups, rings and fields, the topic...