An Introduction to Number Theory (Graduate Texts in Mathematics) Hardcover - 2006 - 1st Edition
by G. Everest
First line
This book is written from the perspective of several passionately held beliefs about mathematical education.
From the rear cover
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 be introduced to some of the main themes in number theory.
Details
- Title An Introduction to Number Theory (Graduate Texts in Mathematics)
- Author G. Everest
- Binding Hardcover
- Edition number 1st
- Edition 1
- Pages 294
- Language ENG
- Publisher Springer, London
- Date October 26, 2006
- ISBN 9781852339173
Media reviews
Citations
- Choice, 02/01/2006, Page 1046
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