A Guide to Elementary Number Theory
A Guide to Elementary Number Theory by Underwood Dudley, published by MAA in 2009, offers a concise overview of topics typically covered in an introductory number theory course. This edition, comprising 141 pages, is designed for readers who may have some prior exposure to the subject or those interested in understanding number theory without delving into more traditional, extensive texts.
Readers will find an exploration of key concepts and important results in number theory, including proofs of significant theorems such as the Quadratic Reciprocity Theorem as originally demonstrated by Gauss. The guide aims to present the material in a way that is both broad and accessible, making it suitable for those looking to refresh their knowledge or gain insight into this fascinating area of mathematics.
Official synopsis Publisher
A Guide to Elementary Number Theory is a short exposition of the topics considered in a first course in number theory. It is intended for those who have had some exposure to the material before but have half-forgotten it, and also for those who may have never taken a course in number theory but who want to understand it without having to engage with the more traditional texts which are often extensive, and dense. Number theory has an impressive history, which this guide investigates. Rather than being a textbook with exercises and solutions, this guide is an exploration of this interesting and exciting field. Its important results are all included, usually with accompanying proofs: the Quadratic Reciprocity Theorem is proved as Gauss did it. The material has been chosen to be maximally broad whilst remaining concise and accessible.
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