Roger cooke classical algebra its nature, origins, and uses (2008)

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Roger cooke classical algebra its nature, origins, and uses (2008)

Classical AlgebraIts Nature, Origins, and UsesRoger CookeWilliams Professor of Mathematics EmeritusThe University of VermontDepartment of MathematicsB

Roger cooke classical algebra its nature, origins, and uses (2008) Burlington, VT/^WILEY-______INTERSCIENCEA JOHN WILEY & SONS, INC., PUBLICATIONCopyright 2008 by John Wiley & Sons, Inc. All rights reserved.Published

by John Wiley & Sons, Inc.. Hoboken. New Jersey.Published simultaneously in Canada.No part of this publication may be reproduced, stored in a retrieva Roger cooke classical algebra its nature, origins, and uses (2008)

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Roger cooke classical algebra its nature, origins, and uses (2008)

der Section 107 OI 108 of the 1976 United States Copyright Act, without either the prior written permission of the Publisher, or authorization through

Classical AlgebraIts Nature, Origins, and UsesRoger CookeWilliams Professor of Mathematics EmeritusThe University of VermontDepartment of MathematicsB

Roger cooke classical algebra its nature, origins, and uses (2008) -4470, or on the web at www.copyright.com. Requests to the Publisher for permission should be addressed to the Permissions Department, John Wiley & So

ns. Inc.. 111 River Street. Hoboken. NJ 07030. (201) 748-601 J. fax (201) 748-6008. or online at hrtpt/Avww.wiley.contfgo/pennission.Limit of Liabilit Roger cooke classical algebra its nature, origins, and uses (2008)

y/Disclaimer of Warranty: While the publisher and author have used their best efforts in preparing this book, they make no representations or warranti

Roger cooke classical algebra its nature, origins, and uses (2008)

es with respect to the accuracy or completeness of lhe contents of this book and specifically disclaim any implied warranties of merchantability or fi

Classical AlgebraIts Nature, Origins, and UsesRoger CookeWilliams Professor of Mathematics EmeritusThe University of VermontDepartment of MathematicsB

Roger cooke classical algebra its nature, origins, and uses (2008) contained herein may not be suitable for your situation. You should consult with a professional where appropriate. Neither the publisher nor author sh

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s.For general information on our other products and services or for technical support, please contact our Customer Care Department within the United S

Roger cooke classical algebra its nature, origins, and uses (2008)

tates at (800) 762-2974, oulside the United Stales at (317) 572-3993 or fax (317) 572-4002.Wiley also publishes its books in a variety of electronic f

Classical AlgebraIts Nature, Origins, and UsesRoger CookeWilliams Professor of Mathematics EmeritusThe University of VermontDepartment of MathematicsB

Roger cooke classical algebra its nature, origins, and uses (2008) iley.com.Library of Congress Cataloging-in-Publication Data:Cooke, Roger. 1942-Classical algebra : its nature, origins, and uses ’ Roger Cooke.p. cm.I

ncludes bibliographical references and indexes.ISBN 978-0-470-25952-8 (pbk. . acid-free paper)I Algebra. 2 Algebra—History. 3. Algebraic logic. I. Tit Roger cooke classical algebra its nature, origins, and uses (2008)

le.QAI55.C665 2008512—dc222007041610Printed 111 the United States of America.10 9 X 7 6 5 4 3 2 IContentsPrefaceixPart I.Numbers and Equations1Lesson

Roger cooke classical algebra its nature, origins, and uses (2008)

1.What Algebra Is31.Numbers in disguise31.1.“Classical” and modern algebra52.Arithmetic arid algebra73.The “environment” of algebra: Number systems8

Classical AlgebraIts Nature, Origins, and UsesRoger CookeWilliams Professor of Mathematics EmeritusThe University of VermontDepartment of MathematicsB