Math you can really use - every day

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MATH YOU CAN REALLY USE— EVERY DAY

David Alan Herzog

Copyright © 2007 by Wiley Publishing, Inc., Hoboken, New Jersey. All rights reserved. Published by Wiley Publishing, Inc., Hoboken, New Jersey No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, scanning or otherwise,except as permitted under Sections 107 or 108 of the 1976 United States Copyright Act, without either the prior written permission of the Publisher, or authorization through payment of the appropriate per-copy fee to the Copyright Clearance Center, 222 Rosewood Drive, Danvers, MA 01923, (978) 750-8400, fax (978) 646-8600, or on the web at www.copyright.com. Requests to the Publisher for permissionshould be addressed to the Legal Department, Wiley Publishing, Inc., 10475 Crosspoint Blvd., Indianapolis, IN 46256, (317) 572-3447, fax (317) 572-4355, or online at http://www.wiley.com/go/permissions. Wiley, the Wiley Publishing logo, and related trademarks are trademarks or registered trademarks of John Wiley & Sons, Inc. and/or its affiliates. All other trademarks are the property of theirrespective owners. Wiley Publishing, Inc. is not associated with any product or vendor mentioned in this book. The publisher and the author make no representations or warranties with respect to the accuracy or completeness of the contents of this work and specifically disclaim all warranties, including without limitation warranties of fitness for a particular purpose. No warranty may be created orextended by sales or promotional materials. The advice and strategies contained herein may not be suitable for every situation. This work is sold with the understanding that the publisher is not engaged in rendering legal, accounting, or other professional services. If professional assistance is required, the services of a competent professional person should be sought. Neither the publisher nor theauthor shall be liable for damages arising here from. The fact that an organization or Website is referred to in this work as a citation and/or a potential source of further information does not mean that the author or the publisher endorses the information the organization or Website may provide or recommendations it may make. Further, readers should be aware that Internet Websites listed in thiswork may have changed or disappeared between when this work was written and when it is read. For general information on our other products and services or to obtain technical support please contact our Customer Care Department within the U.S. at (800) 762-2974, outside the U.S. at (317) 572-3993 or fax (317) 572-4002. Wiley also publishes its books in a variety of electronic formats. Some contentthat appears in print may not be available in electronic books. For more information about Wiley products, please visit our web site at www.wiley.com. Library of Congress Cataloging-in-Publication Data: Herzog, David Alan. Math you can really use : every day / David A. Herzog. p. cm. Includes index. ISBN-13: 978-0-470-05402-4 (pbk.) ISBN-10: 0-470-05402-6 (pbk.) 1. Mathematics—Popular works. I.Title. QA93.H4 2007 510—dc22 2007005095 Printed in the United States of America 10 9 8 7 6 5 4 3 2 1 Book production by Wiley Publishing, Inc., Composition Services Wiley Bicentennial Logo: Richard J. Pacifico

This book is dedicated to the memory of my sister, Lois Herzog Cullen, who was taken from us much too soon. It is also dedicated to Francesco, Sebastian, and Gino Nicholas Bubba, HaileeFoster, Rocio, Myles, Kira, and Reese Herzog, Jakob and Alex Cherry, Marcelo, all their parents, Uncle Ian, and Grandma Birdie.

Acknowledgments
I find it only fitting that I should acknowledge the two Wiley acquisitions editors who have kept me in projects over the past several years, Greg Tubach and Roxane Cerda. Also deserving of mention is Suzanne Snyder, who with this volume has project...
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