Advanced Algebra.pdf

Cornerstones

Series Editors

Charles L. Epstein, University of Pennsylvania, Philadelphia

Steven G. Krantz, Washington University, St. Louis

Advisory Board

Anthony W. Knapp, State University of New York at Stony Brook, Emeritus

Anthony W. Knapp

Advanced Algebra

Along with a companion volume

Basic Algebra

Birkhauser

Boston • Basel • Berlin

Anthony W. Knapp

81 Upper Sheep Pasture Road

East Setauket, NY 11733-1729

U.S.A.

e-mail to: aknapp@math.sunysb.edu

http://www.math.sunysb.edu/˜aknapp/books/a-alg.html

Cover design by Mary Burgess.

Mathematics Subject Classiciﬁcation (2000): 11-01, 13-01, 14-01, 16-01, 18G99, 55U99, 11R04, 11S15,

12F99, 14A05, 14H05, 12Y05, 14A10, 14Q99

Library of Congress Control Number: 2007936880

ISBN-13: 978-0-8176-4522-9

eISBN-13: 978-0-8176-4613-4

Basic Algebra

ISBN-13: 978-0-8176-3248-9

Basic Algebra and Advanced Algebra (Set)

ISBN-13: 978-0-8176-4533-5

Printed on acid-free paper.

2007 Anthony W. Knapp

permission of the publisher (Birkhauser Boston, c/o Springer Science + Business Media LLC, 233 Spring

Street, New York, NY 10013, USA) and the author, except for brief excerpts in connection with reviews

or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic

adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed

is forbidden.

The use in this publication of trade names, trademarks, service marks and similar terms, even if they are

not identiﬁed as such, is not to be taken as an expression of opinion as to whether or not they are subject to

proprietary rights.

987654321

www.birkhauser.com

(MP)

ToSusan

and

ToMyAlgebraTeachers:

RalphFox, JohnFraleigh,RobertGunning,

JohnKemeny,BertramKostant,RobertLanglands,

GoroShimura,HaleTrotter,RichardWilliamson

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