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Fermat's Last Theorem For Amateurs.pdf

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文档介绍

文档介绍:Paulo Ribenboim
Department of Mathematics
and Statistics
Queen's University
Kingston, Ontario, K7L 3N6
Canada
With 2 Illustrations
Mathematics Subject Classification (1991): l!Axx
Library of Congress Cataloging-in-Publication Data
Ribenboim, Paulo.
Fermat's last theorem for amateurs l Paulo Ribenboim.
p. cm.
Includes bibliographical references and index.
ISBN 0-387-98508-5 (hc. : alk. paper)
l. Fermat's last theorem. l. Title.
1999
512'.74---dc21 98-41246
© 1999 Springer-Verlag New York, !ne.
Ali rights reserved. This work may not be translated or copied in whole or in part without the
written permission of the publisher (Springer-Verlag Ne w York, In c., 175 Fifth Avenue, Ne w Y ork,
NY 10010, USA), 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 of generai descriptive names, trade names, trademarks, etc., in this publication, even if the
former are not especially identified, is not to be taken as a sign that such names, as understood by
the Trade Marks and Merchandise Marks Act, may accordingly be used freely by anyone.
ISBN 0-387-98508-5 Springer-Verlag New York Berlin Heidelberg SPIN 10753540
Preface
It is now well known that Fermat’s last theorem has been proved. For
more than three and a half centuries, mathematicians — from the
great names to the clever amateurs — tried to prove Fermat’s famous
statement. The approach was new and involved very sophisticated
theories. Finally the long-sought proof was achieved. The arithmetic
theory of elliptic curves, modular forms, Galois representations, and
their deformations, developed by many mathematicians, were the
tools required plete the difficult proof.
Linked with this great mathematical feat are the names

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