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Elementary Number Theory -- David M. Burton -- 6th Ed.

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Elementary Number Theory -- David M. Burton -- 6th Ed.

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ELEMENTARY

NUMBER

THEORY

Sixth

Edition

David M. Burton

University

New Hampshire

Higher

Education

Boston

Burr

Ridge,

Dubuque,

Madison,

New

York

San

Francisco

St.

Louis

Bangkok Bogota Caracas Kuala Lumpur Lisbon London Madrid Mexico City

Milan Montreal

New Delhi Santiago

Seoul

Singapore Sydney

Taipei

Toronto

_.p~r19h4,Wj«II!.Ud,Z.Ijll¥

Higher

Education

ELEMENTARY NUMBER THEORY, SIXTH EDITION

Published by McGraw-Hill, a business unit

The McGraw-Hill Companies, Inc.,

I22I

Avenue

the

Americas, New York, NY

10020.

2007 by The McGraw-Hill Companies, Inc. All rights

reserved. No part

this publication may be reproduced or distributed in any form or by any means,

stored in a database or retrieval system, without the prior written consent

The McGraw-Hill

Companies, Inc., including, but not limited to, in any network or other electronic storage or

transmission, or broadcast for distance learning.

Some ancillaries, including electronic and print components, may not be available to customers

outside the United

States.

This book is printed on acid-free paper.

I 2 3 4

5 6 7 8 9 0 DOC/DOC 0 9 8 7 6 5

ISBN-13 978--0--07-305I88-8

ISBN-IO

0-07-305I88-8

Publisher: Elizabeth

Haefele

Director

Development: David Dietz

Senior Sponsoring Editor: Elizabeth Covello

Developmental Editor: Dan Seibert

Senior Marketing Manager: Nancy Anselment Bradshaw

Project Manager: April

Southwood

Senior Production Supervisor: Kara Kudronowicz

Cover Designer: Rick

Noel

(USE) Cover Images: © Sandved.com, Kjell Sandved, Butterfly Numerals

Senior Photo Research Coordinator: John

Leland

Supplement Producer: Melissa

Leick

Compositor: The GTS Companies

Typeface:

10.5112 Times Roman

Printer:

R. R.

Donnelley Crawfordsville,

Library

Congress Cataloging-in-Publication Data

Burton, David M.

Elementary number theory

I David M. Burton. - 6th ed.

p. em.

Includes index.

ISBN

978-0--07-305I88-8-

ISBN

0-07-305I88-8

Number theory. I. Title.

QA24l.B83

2007

5I2.7--dc22

200505223I

CIP

MARTHA

ABOUT THE AUTHOR

David M. Burton received his B.A. from Clark University and his M.A. and Ph.D.

degrees from the University

Rochester. He joined the faculty

the University

New Hampshire, where he is now Professor Emeritus

Mathematics, in 1959. His

teaching experience also includes a year at Yale University, numerous summer insti-

tutes for high school teachers, and presentations at meetings

high school teachers'

organizations. Professor

Bv.rton is also the author

The History

Mathematics:

Introduction (McGraw-Hill, Sixth edition, 2007), and five textbooks on abstract

and linear algebra.

In addition to his work in mathematics, he spent sixteen years coaching a high

school girls' track and field team. When not writing, he is likely to

found jogging

or reading (mainly history and detective fiction). He is married and has three grown

children and two German shepherd dogs.

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Elementary Number Theory with Programming

Bridging an existing gap between mathematics and programming, Elementary Number Theory with Programming provides a unique introduction to elementary number theory with fundamental coverage of computer programming. Written by highly-qualified experts in the fields of computer science and mathematics, the book features accessible coverage for readers with various levels of experience and explores number theory in the context of programming without relying on advanced prerequisite knowledge and concepts in either area. Elementary Number Theory with Programming features comprehensive coverage of the methodology and applications of the most well-known theorems, problems, and concepts in number theory. Using standard mathematical applications within the programming field, the book presents modular arithmetic and prime decomposition, which are the basis of the public-private key system of cryptography.

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Elementary Number Theory -- David M. Burton -- 6th Ed.

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Elementary Number Theory -- David M. Burton -- 6th Ed.

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