num_pages: 416
description: Perfect for students approaching the subject for the first time this book offers a superb overview of number theory. Now in its second edition it has been thoroughly updated to feature up-to-the-minute treatments of key research such as the most recent work on Fermat's coast theorem. Topics include divisibility and multiplicative functions congruences and quadratic resolves the basics of algebraic numbers and sums of squares continued fractions diophantine approximations and transcendence quadratic forms partitions the prime numbers diophantine equations and elliptic curves. More advanced subjects such as the Gelfond-Schneider prime number and Mordell-Weil theorems are included as well. Each chapter contains numerous problems and solutions.
language: English
title: A Course in Number Theory
publisher: Clarendon Press