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How Math Can Save Your Life: (And Make You Rich, Help You Find The One, and Avert Catastrophes) PDF

260 Pages·2010·1.93 MB·English
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ffffiirrss..iinndddd iiii 11//77//1100 99::0033::4444 AAMM How Math Can Save Your Life ffffiirrss..iinndddd ii 11//77//1100 99::0033::4444 AAMM ffffiirrss..iinndddd iiii 11//77//1100 99::0033::4444 AAMM How Math Can Save Your Life JAMES D. STEIN John Wiley & Sons, Inc. ffffiirrss..iinndddd iiiiii 11//77//1100 99::0033::4444 AAMM Copyright © 2010 by James D. Stein. 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 retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopy- ing, recording, scanning, or otherwise, except as permitted under Section 107 or 108 of the 1976 United States Copyright Act, without either the prior writ- ten 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 permission should be addressed to the Permissions Department, John Wiley & Sons, Inc., 111 River Street, Hoboken, NJ 07030, (201) 748–6011, fax (201) 748–6008, or online at http://www.wiley.com/go/permissions. Limit of Liability/Disclaimer of Warranty: While the publisher and the author have used their best efforts in preparing this book, they make no representations or warranties with respect to the accuracy or completeness of the contents of this book and specifi cally disclaim any implied warranties of merchantability or fi tness for a particular purpose. No warranty may be created or extended by sales representatives or written sales materials. The advice and strategies contained herein may not be suitable for your situation. You should consult with a profes- sional where appropriate. Neither the publisher nor the author shall be liable for any loss of profi t or any other commercial damages, including but not limited to special, incidental, consequential, or other damages. For general information about our other products and services, please contact our Customer Care Department within the United States at (800) 762–2974, outside the United States at (317) 572–3993 or fax (317) 572–4002. Wiley also publishes its books in a variety of electronic formats. Some content that appears in print may not be available in electronic books. For more informa- tion about Wiley products, visit our web site at www.wiley.com. Library of Congress Cataloging-in-Publication Data: Stein, James D., date. How math can save your life / James D. Stein. p. cm. Includes index. ISBN 978-0-470-43775-9 (cloth) 1. Mathematics—Miscellanea. I. Title. QA99.S735 2010 510—dc22 2009028776 Printed in the United States of America 10 9 8 7 6 5 4 3 2 1 ffffiirrss..iinndddd iivv 11//77//1100 99::0033::4444 AAMM For Maxine and James, my fi rst arithmetic teachers ffffiirrss..iinndddd vv 11//77//1100 99::0033::4444 AAMM ffffiirrss..iinndddd vvii 11//77//1100 99::0033::4455 AAMM C O N T E N T S Preface xi Introduction: What Math Can Do for You 1 1 The Most Valuable Chapter You Will Ever Read 5 Are service contracts for electronics and appliances just a scam? (cid:129) How likely are you to win at roulette? (cid:129) Is it worth going to college? 2 How Math Can Help You Understand Sports Strategy 21 Why could Bart Simpson probably beat you at rock, paper, scissors? (cid:129) What are “pure” and “mixed” strategies? (cid:129) Is a pass play or a run play more likely to make a first down? 3 How Math Can Help Your Love Life 37 How do you know when he or she is “the one”? (cid:129) Whom should you ask to the senior prom? (cid:129) Why are women reputed to be fickle while men are steadfast? 4 How Math Can Help You Beat the Bookies 47 Why should your lottery ticket contain numbers greater than 31? (cid:129) Can you overcome a negative expectation? (cid:129) When should you bluff and when should you fold? vii ffttoocc..iinndddd vviiii 11//77//1100 99::0066::4477 AAMM viii Contents 5 How Math Can Improve Your Grades 65 Will guessing on a multiple-choice test get you a better score? (cid:129) What test subject should you spend the most time studying for? (cid:129) What subject should you major in? 6 How Math Can Extend Your Life Expectancy 77 How dangerous is it to speed? (cid:129) Why might your prescription show the wrong dosage? (cid:129) Should you have a risky surgery or not? 7 How Math Can Help You Win Arguments 89 Was the bailout the only way to save the banks? (cid:129) Do you really have logic on your side? (cid:129) What are the first arithmetic tables learned by children on Spock’s home planet? 8 How Math Can Make You Rich 107 How can you actually make money off credit card companies? (cid:129) Will refinancing your house actually save money? (cid:129) Is a hybrid car a better value? 9 How Math Can Help You Crunch the Numbers 125 How did statistics help prevent cholera in nineteenth-century London? (cid:129) Why won’t Andre Agassi and Steffi Graf’s son be a tennis prodigy? (cid:129) Are you more likely to meet someone over 7 feet tall or someone more than 100 years old? 10 How Math Can Fix the Economy 147 What is the “Tulip Index”? (cid:129) What doesn’t the mortgage banking industry understand about negative numbers? (cid:129) What caused the stock market crash of 1929? 11 Arithmetic for the Next Generation 165 How can you get your kids interested in math? (cid:129) What is the purpose of arithmetic? (cid:129) How does Monopoly money make learning division easier? 12 How Math Can Help Avert Disasters 191 What caused the Challenger space shuttle crash? (cid:129) How could we have prevented much of the damage from Hurricane Katrina? (cid:129) How can you determine the possible cost of a disaster? ffttoocc..iinndddd vviiiiii 11//77//1100 99::0066::4477 AAMM

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It's a commonplace observation that the better the mathematician, the worse he or she generally is at balancing a checkbook. It's not a paradox: simple arithmetic is just too boring to hold a bright, abstract thinker's attention. So perhaps this can account for what happened in Chapter 10, "How Math
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