Book Name
Topics in Number Theory VOLUMES I AND II
Author William Judson LeVeque
Book Publishers
DOVER PUBLICATIONS, INC. Mineóla, New York
Language. English USA
Category Book ----- MATHEMATICS
Book Code 222
Paper Black
Pages: 511
RS 1800
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Copyright
Copyright © 1956, 1984 by William Judson LeVeque
All rights reserved under Pan American and International Copyright
Conventions.
About Book
The theory of numbers, one of the oldest branches of mathematics,
has engaged the attention of many gifted mathematicians during the
past 2300 years. The Greeks, Indians, and Chinese made significant
contributions prior to 1000 a .d., and in more modern times the sub-
ject has developed steadily since Fermat, one of the fathers of Western
mathematics. It is therefore rather surprising that there has never
been a strong tradition in number theory in America, although a few
men of the stature of L. E. Dickson have emerged to keep the flame
alive. But in most American universities the theory of numbers is
regarded as a slightly peripheral subject* which has an unusual flavor
and unquestioned historical importance, but probably merits no more
than a one-term course on the senior or first-year graduate level. It
seems to me that this is an inappropriate attitude to maintain toward
a subject which is flourishing in European hands, and which has
contributed so much to the mathematics of the past and which
promises exciting developments in the future. Changing its status is
complicated, however, by the paucity of advanced works suitable
for use as textbooks in American institutions. There are several
excellent elementary texts available, and an ever-increasing number
of monographs, mostly European, but to the best of my knowledge
no general book designed for a second course in the theory of numbers
has appeared since Dickson ceased writing. In Volume II of the
present work I have attempted partially to fill this gap.
When I began to write Volume II, the number of introductory
texts was very small, and no one of them contained all the informa-
tion I found occasion to refer to. Since I had already written lecture
notes for a first course, there seemed to be some advantage in expand-
ing them into a more complete exposition of the standard elementary
topics. Volume I is the result; it is designed to serve either as a self-
contained textbook for a one-term course in number theory, or as a
preliminary to the second volume. The two volumes together are
intended to provide an introduction to some of the important tech-
niques and results of classical and modern number theory; I hope
they will prove useful as a first step in the training of students who are
or might become seriously interested in the subject.
Bibliographical Note
This Dover edition, first published in 2002, is an unabridged republi-
cation of the work published in two volumes by the Addison-Wesley
Publishing Company, Inc., Reading, Massachusetts, 1956. The Errata
List was prepared especially for this edition by the author.
The two volumes contained in this book are paginated separately (and
have separate tables of contents). Volume II begins following page 202 of
Volume I.
Library of Congress Cataloging-in-Publication Data
LeVeque, William Judson.
Topics in number theory / by William Judson LeVeque.—Dover ed.
p. cm.
Originally published: Reading, Mass., Addison-Wesley Pub., [1956].
Includes bibliographical references and index.
ISBN 0-486-42539-8 (pbk. : set)
1. Number theory. I. Title.
QA241 .L58 2002
512\7—dc21
2002067433
Manufactured in the United States of America
Dover Publications, Inc., 31 East 2nd Street, Mineola, N.Y. 11501
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