Undergraduate Algebra, 3Ed (Undergraduate Texts In Mathematics) (Serge Lang) 0387220259.pdf

Undergraduate Texts in Mathematics
Editors
S. Axler
. Gehring
. Ribet
Springer Books on Elementary Mathematics by Serge Lang
MATH! Encounters with High School Students
1985, ISBN 96129-1
The Beauty of Doing Mathematics
1985, ISBN 96149-6
Geometry. A High School Course (with G. Murrow), Second Edition
1989, ISBN 96654-4
Basic Mathematics
1988, ISBN 96787-7
A First Course in Calculus
1986, ISBN 96201-8
Calculus of Several Variables
1987, ISBN 96405-3
Introduction to Linear Algebra
1986, ISBN 96205-0
Linear Algebra
1987, ISBN 96412-6
Undergraduate Algebra, Third Edition
2005, ISBN 22025-9
Undergraduate Analysis
1983, ISBN 90800-5
Complex Analysis
1985, ISBN 96085-6
Math Talks for Undergraduates
1999, ISBN 98749-5
Serge Lang
Undergraduate
Algebra
Third Edition
Sprin ge r
Serge Lang
Department of Mathematics
Yale University
New Haven, CT 06520
USA
Editorial Board
S. Axler . Gehring . Ribet
Mathematics Department Mathematics Department Mathematics Department
San Francisco State East Hall University of California,
University University of Michigan Berkeley
San Francisco, CA 94132 Ann Arbor, MI 48109 Berkeley, CA 94720-3840
USA USA USA
Mathematics Subject Classification (2000); 13-01, 15-01
Library of Congress Cataloging-in-Publication Data
Lang, Serge, 1927-
Undergraduate algebra / Serge Lang. — 3rd ed.
p. cm. —(Undergraduate texts in mathematics)
Includes bibliographical references and index.
ISBN 0-387-22025-9 (alk. paper)
1. Algebra. I. Title. II. Series.
2004
512—dc22 2004049194
ISBN 0-387-22025-9 Printed on acid-free paper.
© 2005, 1990, 1987 Springer Science-I-Business Media, Inc.
All rights reserved. This work may not be translated or copied in whole or in part without the
written permission of the pubUsher (Springer Science-f Business Media, Inc., 233 Spring Street,
New York, NY 10013, USA), exce