Table Of Content

(cid:1)(cid:2)(cid:3)(cid:4)(cid:5)(cid:6)(cid:7)(cid:4)(cid:8)(cid:9)(cid:4)(cid:7)(cid:2)(cid:3)(cid:4)(cid:10)(cid:11)(cid:9)(cid:12)(cid:11)(cid:12)(cid:7)(cid:3) The Tower of Mathematics is the Tower of Babel inverted: its voices grow more coherent as it rises. The image of it is based on Pieter Brueghel’s “Little Tower of Babel” (1554). (cid:1)(cid:2)(cid:3)(cid:4)(cid:5)(cid:6)(cid:7)(cid:4)(cid:8)(cid:9)(cid:4)(cid:7)(cid:2)(cid:3)(cid:4)(cid:10)(cid:11)(cid:9)(cid:12)(cid:11)(cid:12)(cid:7)(cid:3)(cid:13) (cid:1)(cid:2)(cid:3)(cid:4)(cid:5)(cid:6)(cid:3)(cid:7)(cid:8)(cid:9)(cid:10)(cid:3)(cid:8)(cid:4)(cid:11)(cid:12)(cid:4)(cid:13)(cid:7)(cid:14)(cid:2)(cid:3)(cid:15)(cid:7)(cid:14)(cid:16)(cid:17)(cid:8) Robert Kaplan and Ellen Kaplan Illustrations by Ellen Kaplan 2003 Oxford New York Auckland Bangkok Buenos Aires Cape Town Chennai Dar es Salaam Delhi Hong Kong Istanbul Karachi Kolkata Kuala Lumpur Madrid Melbourne Mexico City Mumbai Nairobi São Paulo Shanghai Taipei Tokyo Toronto Copyright © 2003 by Robert Kaplan and Ellen Kaplan Published by Oxford University Press, Inc. 198 Madison Avenue, New York, New York 10016 www.oup-usa.org Oxford is a registered trademark of Oxford University Press All rights reserved. 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, or otherwise, without the prior permission of Oxford University Press. Library of Congress Cataloging-in-Publication Data is available ISBN-0-19-514743-X Also by Robert Kaplan The Nothing That Is: A Natural History of Zero 1 3 5 7 9 8 6 4 2 Printed in the United States of America on acid-free paper For Michael, Jane, and Felix This page intentionally left blank (cid:1)(cid:2)(cid:3)(cid:4)(cid:5)(cid:3)(cid:4)(cid:6) (cid:1)(cid:2)(cid:3)(cid:4)(cid:5)(cid:6)(cid:7)(cid:8)(cid:9)(cid:10)(cid:11)(cid:8)(cid:4)(cid:12)(cid:13) (cid:14)(cid:15) (cid:1)(cid:4)(cid:16)(cid:17)(cid:4)(cid:18)(cid:14)(cid:12)(cid:19)(cid:12)(cid:14)(cid:5)(cid:4) (cid:20) (cid:1)(cid:2)(cid:3)(cid:4)(cid:5)(cid:6)(cid:7)(cid:8)(cid:9)(cid:10)(cid:6) (cid:1)(cid:2)(cid:3)(cid:4)(cid:5)(cid:6)(cid:7)(cid:8)(cid:5)(cid:9)(cid:10)(cid:4)(cid:5)(cid:11)(cid:2)(cid:7)(cid:8) (cid:12) (cid:1)(cid:2)(cid:3)(cid:4)(cid:5)(cid:6)(cid:7)(cid:8)(cid:9)(cid:10)(cid:11) (cid:1)(cid:2)(cid:3)(cid:4)(cid:5)(cid:2)(cid:4)(cid:6)(cid:7)(cid:4)(cid:1)(cid:2)(cid:8)(cid:9)(cid:4)(cid:10)(cid:11)(cid:7)(cid:12)(cid:7)(cid:4)(cid:10)(cid:13)(cid:14)(cid:15)(cid:11)(cid:12)(cid:16) (cid:17)(cid:18) (cid:1)(cid:2)(cid:3)(cid:4)(cid:5)(cid:6)(cid:7)(cid:8)(cid:9)(cid:2)(cid:7)(cid:6)(cid:6) (cid:1)(cid:2)(cid:3)(cid:4)(cid:5)(cid:6)(cid:3)(cid:7)(cid:8)(cid:6)(cid:7)(cid:9)(cid:7)(cid:10)(cid:8)(cid:11)(cid:12)(cid:2)(cid:13)(cid:7)(cid:14)(cid:15)(cid:2)(cid:3)(cid:16) (cid:17)(cid:18) (cid:1)(cid:2)(cid:3)(cid:4)(cid:5)(cid:6)(cid:7)(cid:8)(cid:4) (cid:1)(cid:2)(cid:3)(cid:4)(cid:5)(cid:6)(cid:7)(cid:8)(cid:6)(cid:8)(cid:9)(cid:3)(cid:4)(cid:10)(cid:6)(cid:11)(cid:4)(cid:9)(cid:2)(cid:3)(cid:4)(cid:5)(cid:6)(cid:11)(cid:3)(cid:7)(cid:8)(cid:6)(cid:8)(cid:9)(cid:3) (cid:12)(cid:13) (cid:1)(cid:2)(cid:3)(cid:4)(cid:5)(cid:6)(cid:7)(cid:8)(cid:9)(cid:10)(cid:11)(cid:7) (cid:1)(cid:2)(cid:3)(cid:4)(cid:4)(cid:3)(cid:5)(cid:6)(cid:7)(cid:1)(cid:8)(cid:9)(cid:5)(cid:10)(cid:11) (cid:12)(cid:12) (cid:1)(cid:2)(cid:3)(cid:4)(cid:5)(cid:6)(cid:7)(cid:8)(cid:9)(cid:10)(cid:11)(cid:6) (cid:1)(cid:2)(cid:3)(cid:4)(cid:5)(cid:6)(cid:7)(cid:8)(cid:4)(cid:9)(cid:10)(cid:11) (cid:12)(cid:13)(cid:13) (cid:1)(cid:2)(cid:3)(cid:4)(cid:5)(cid:6)(cid:7)(cid:8)(cid:4) (cid:1)(cid:2)(cid:3)(cid:4)(cid:5)(cid:3)(cid:4)(cid:6)(cid:7)(cid:3)(cid:8)(cid:6)(cid:9)(cid:10)(cid:11)(cid:6)(cid:12)(cid:3)(cid:13)(cid:5)(cid:3)(cid:5)(cid:9)(cid:11) (cid:14)(cid:15)(cid:14) (cid:1)(cid:2)(cid:2) (cid:1)(cid:2)(cid:3)(cid:4)(cid:5)(cid:6)(cid:7)(cid:4)(cid:8)(cid:9)(cid:4)(cid:7)(cid:2)(cid:3)(cid:4)(cid:10)(cid:11)(cid:9)(cid:12)(cid:11)(cid:12)(cid:7)(cid:3) (cid:1)(cid:2)(cid:3)(cid:4)(cid:5)(cid:6)(cid:7)(cid:8)(cid:9)(cid:10)(cid:11) (cid:1)(cid:2)(cid:3)(cid:4)(cid:5)(cid:6)(cid:7)(cid:8)(cid:3)(cid:4)(cid:9)(cid:10)(cid:4)(cid:11)(cid:8)(cid:7)(cid:3)(cid:12)(cid:13)(cid:6) (cid:14)(cid:15)(cid:15) (cid:1)(cid:2)(cid:3)(cid:4)(cid:5)(cid:6)(cid:7)(cid:8)(cid:9)(cid:6)(cid:10)(cid:6)(cid:11) (cid:1)(cid:2)(cid:3)(cid:4)(cid:5)(cid:3)(cid:6)(cid:7)(cid:5)(cid:8)(cid:9)(cid:10)(cid:6)(cid:11)(cid:12)(cid:2)(cid:13)(cid:14) (cid:15)(cid:16)(cid:17) (cid:1)(cid:2)(cid:3)(cid:4)(cid:5)(cid:6)(cid:7)(cid:8)(cid:4) (cid:1)(cid:2)(cid:3)(cid:4)(cid:5)(cid:6)(cid:7)(cid:8)(cid:6)(cid:8)(cid:9)(cid:3)(cid:4)(cid:10)(cid:6)(cid:11)(cid:4)(cid:9)(cid:2)(cid:3)(cid:4)(cid:12)(cid:6)(cid:13)(cid:6)(cid:14)(cid:15)(cid:6) (cid:16)(cid:17)(cid:17) (cid:1)(cid:2)(cid:3)(cid:4)(cid:5)(cid:6)(cid:7)(cid:8)(cid:9)(cid:10)(cid:11)(cid:2)(cid:5) (cid:1)(cid:2)(cid:3)(cid:4)(cid:5)(cid:6)(cid:7)(cid:5)(cid:1)(cid:8)(cid:9)(cid:6)(cid:10)(cid:11) (cid:12)(cid:13)(cid:12) (cid:1)(cid:2)(cid:3)(cid:4)(cid:5)(cid:6)(cid:7)(cid:8)(cid:9)(cid:10)(cid:11)(cid:6) (cid:1)(cid:2)(cid:3)(cid:4)(cid:5)(cid:6)(cid:7)(cid:8)(cid:8) (cid:9)(cid:9)(cid:10) (cid:5)(cid:11)(cid:11)(cid:3)(cid:12)(cid:13)(cid:14)(cid:15) (cid:9)(cid:16)(cid:17) (cid:18)(cid:14)(cid:6)(cid:19)(cid:14)(cid:20)(cid:21)(cid:22)(cid:23)(cid:11)(cid:2)(cid:7) (cid:17)(cid:24)(cid:25) (cid:26)(cid:12)(cid:13)(cid:3)(cid:15) (cid:17)(cid:24)(cid:27) (cid:1)(cid:2)(cid:2)(cid:2) (cid:1)(cid:2)(cid:3)(cid:4)(cid:5)(cid:6)(cid:7)(cid:8)(cid:9)(cid:10)(cid:11)(cid:8)(cid:4)(cid:12)(cid:13) We have been unusually fortunate in our readers, who from four differ- ent perspectives brought our book into focus. Jean Jones, Barry Mazur, John Stillwell, and Jim Tanton put a quantity of time and quality of thought into their comments, which made the obscure transparent and the crooked straight. We are very grateful. The community of mathematicians is more generous than most. Our thanks to all who have helped, with special thanks to Andrew Ranicki and Paddy Patterson. No one could ask for better people to work with than Eric Simonoff and Cullen Stanley of Janklow & Nesbit, who make the gears that turn writing into reading mesh with ease; nor a better, more thoughtful edi- tor than Peter Ginna, in whom all the best senses of wit unite. (cid:1)(cid:2)

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Robert Kaplan's The Nothing That Is: A Natural History of Zero was an international best-seller, translated into eight languages. The Times called it "elegant, discursive, and littered with quotes and allusions from Aquinas via Gershwin to Woolf" and The Philadelphia Inquirer praised it as "absolute

The Art of the Infinite: The Pleasures of Mathematics PDF

337 Pages·2003·8.06 MB·English

by Robert Kaplan

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Author:	Robert Kaplan
Publication Year:	2003
Pages:	337
Language:	English
File Size:	8.06
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