文档介绍：Universitext
Editorial Board
(North America):
S. Axler
. Ribet
Falko Lorenz
Algebra
Volume I:
Fields and Galois Theory
With the collaboration of the translator, Silvio Levy
Falko Lorenz
FB Mathematik Institute
University Mu¨nster
Mu¨nster, 48149
Germany
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Editorial Board
(North America):
S. Axler . Ribet
Mathematics Department Mathematics Department
San Francisco State University University of California at Berkeley
San Francisco, CA 94132 Berkeley, CA 94720-3840
USA USA
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Mathematics Subject Classification (2000): 11-01, 12-01, 13-01
Library of Congress Control Number: 2005932557
ISBN-10: 0-387-28930-5 Printed on acid-free paper.
ISBN-13: 978-0387-28930-4
© 2006 Springer Science+Business Media, Inc.
All rights reserved. This work may not be translated or copied in whole or in part without the
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York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis.
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Printed in the United States of America. (SHER)
987654321
“Though what I’m saying is perhaps not new, I have
felt it quite vividly on this new occasion.”
J. W. Goethe, in a letter from Naples, 17 May 1787
Foreword
The present textbook is my best effort to write a lively, problem-oriented and under-
standable introduction to classical modern algebra. Besides careful exposition, my
goals were to lead the reader right away to interesting