Skip to main content

Research Repository

Advanced Search

An Introduction to Number Theory

Everest, G; Ward, T

An Introduction to Number Theory Thumbnail


G Everest

T Ward


An Introduction to Number Theory provides an introduction to the main streams of number theory. Starting with the unique factorization property of the integers, the theme of factorization is revisited several times throughout the book to illustrate how the ideas handed down from Euclid continue to reverberate through the subject. In particular, the book shows how the Fundamental Theorem of Arithmetic, handed down from antiquity, informs much of the teaching of modern number theory. The result is that number theory will be understood, not as a collection of tricks and isolated results, but as a coherent and interconnected theory. A number of different approaches to number theory are presented, and the different streams in the book are brought together in a chapter that describes the class number formula for quadratic fields and the famous conjectures of Birch and Swinnerton-Dyer. The final chapter introduces some of the main ideas behind modern computational number theory and its applications in cryptography. Written for graduate and advanced undergraduate students of mathematics, this text will also appeal to students in cognate subjects who wish to learn some of the big ideas in number theory.


Everest, G., & Ward, T. (2005). An Introduction to Number Theory. Springer Verlag

Book Type Authored Book
Publication Date Jan 1, 2005
Deposit Date Oct 11, 2012
Publicly Available Date Oct 23, 2012
Publisher Springer Verlag
Series Title Graduate texts in mathematics
Publisher URL


Accepted Book (394 Kb)

Copyright Statement
The original publication is available at

You might also like

Downloadable Citations