文档介绍：ADVANCED
NUMBERTHEORY
Harvey Cohn
Distinguished Professor of Mathematics
City University of New York
Dover Publications, Inc.
NewYork
dedicated to TONY and SUSAN
Copyright 0 1962 by Harvey Cohn.
All rights reserved under Pan American and Inter-
national Copyright Conventions.
Published in Canada by General -
pany, Ltd., 30 Lesmill Road, Don Mills, Toronto, On-
tario.
Published in the United Kingdom by Constable and
Company, Ltd., 10 Orange Street, London WC2H 7EG.
This Dover edition, first published in 1980, is an un-
abridged and corrected republication of the work first
published in 1962 by John Wiley & Sons, Inc., under the
title A Second Course in Number Theory.
International Standard Book Number: 0-486-64023-X
Library of Congres Catalog Cord Number: BO-65862
Manufactured in the United States of America
Dover Publications, Inc.
100 Varick Street
New York. . 10014
PREFACE
The prerequisites for this book are the “standard” first-semester course
in number theory (with incidental elementary algebra) and elementary
calculus. There is no lack of suitable texts for these prerequisites (for
example, An Introduction to the Theory of Numbers, by 1. Niven and H. S.
Zuckerman, John Wiley and Sons, 1960, cari be cited as a book that intro-
duces the necessary algebra as part of number theory). Usually, very little
else cari be managed in that first semester beyond the transition from
binatorial amusements of antiquity to the coherently
organized background for quadratic reciprocity, which was achieved in
the eighteenth Century.
The present text constitutes slightly more than enough for a second-
semester course, carrying the student on to the twentieth Century by
motivating some heroic eenth-Century developments in algebra and
analysis. The relation of this textbook to the great treatises Will necessarily
be like that of a hisforical novel to chronicles. We hope that