Editorial Boar d Gerald B. Folland Brad Osgood Robin Forman (Chair) Michael Starbird Originally published in the German language by Friedr. Vieweg & Sohn Verlag, 65189 Wiesbaden, Germany, as "Jorg Bewersdorff: Algebra fur Einsteiger. 2. Auflage (2 n d edition)". © Friedr. Vieweg & Sohn Verlag|GWV Fachverlage GmbH, Wiesbaden, 2004 Translated by David Kramer with additions and corrections by the author. 2000 Mathematics Subject Classification. Primary 12-01 Secondary 12F10. For additional information and updates on this book, visit w w w . a m s . o r g / b o o k p a g e s / s t m l - 3 5 Library of Congress Cataloging-in-Publication Data Bewersdorff, Jorg. [Algebra fur Einsteiger. English] Galois theory for beginners : a historical perspective / Jorg Bewersdorff translated by David Kramer. p. cm. (Student mathematical library, ISSN 1520-9121 v. 35) Includes index. ISBN-13: 978-0-8218-3817-4 (acid-free paper) 1. Galois theory. 2. Polynomials. I. Title. QA214.B49 2006 512/.32—dc22 2006048423 Copying and reprinting. Individual readers of this publication, and nonprofit libraries acting for them, are permitted to make fair use of the material, such as to copy a chapter for use in teaching or research. Permission is granted to quote brief passages from this publication in reviews, provided the customary acknowledgment of the source is given. Republication, systematic copying, or multiple reproduction of any material in this publication is permitted only under license from the American Mathematical Society. Requests for such permission should be addressed to the Acquisitions Department, American Mathematical Society, 201 Charles Street, Providence, Rhode Island 02904- 2294 USA. Requests can also be made by e-mail to reprint-permissionOams.org. © 2006 by the American Mathematical Society. All rights reserved. Reprinted with corrections by the American Mathematical Society, 2010. The American Mathematical Society retains all rights except those granted to the United States Government. Printed in the United States of America. @ The paper used in this book is acid-free and falls within the guidelines established to ensure permanence and durability. Visit the AMS home page at http://www.ams.org/ 10 9 8 7 6 5 4 3 2 15 14 13 12 11 10
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