A Passion For Mathematics
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Publicado: 7 de diciembre de 2012
A Passion for Mathematics
Numbers, Puzzles, Madness, Religion, and the Quest for Reality
CLIFFORD A. PICKOVER
John Wiley & Sons, Inc.
A Passion for Mathematics
Works by Clifford A. Pickover
The Alien IQ Test Black Holes: A Traveler’s Guide Calculus and Pizza Chaos and Fractals Chaos in Wonderland Computers, Pattern, Chaos, and Beauty Computers and the Imagination Cryptorunes:Codes and Secret Writing Dreaming the Future Egg Drop Soup Future Health Fractal Horizons: The Future Use of Fractals Frontiers of Scientific Visualization The Girl Who Gave Birth to Rabbits Keys to Infinity Liquid Earth The Lobotomy Club The Loom of God The Mathematics of Oz Mazes for the Mind: Computers and the Unexpected Mind-Bending Visual Puzzles (calendars and card sets) The Paradox of God andthe Science of Omniscience The Pattern Book: Fractals, Art, and Nature The Science of Aliens Sex, Drugs, Einstein, and Elves Spider Legs (with Piers Anthony) Spiral Symmetry (with Istvan Hargittai) Strange Brains and Genius Sushi Never Sleeps The Stars of Heaven Surfing through Hyperspace Time: A Traveler’s Guide Visions of the Future Visualizing Biological Information Wonders of Numbers The Zen ofMagic Squares, Circles, and Stars
A Passion for Mathematics
Numbers, Puzzles, Madness, Religion, and the Quest for Reality
CLIFFORD A. PICKOVER
John Wiley & Sons, Inc.
Copyright © 2005 by Clifford A. Pickover. All rights reserved Published by John Wiley & Sons, Inc., Hoboken, New Jersey Published simultaneously in Canada Illustration credits: pages 91, 116, 137, 140, 142, 149, 150,151, 157, 158, 159, 160, 162, 164, 167, 168, 169, 179, 199, 214, 215, 224, 225, 230, 274, 302, 336, 338, 341, 343, 345, and 348 by Brian C. Mansfield; 113, 114, 115, 145, 146, 332, 333, and 334 by Sam Loyd; 139 courtesy of Peter Hamburger and Edit Hepp; 141 by Stewart Raphael, Audrey Raphael, and Richard King; 155 by Patrick Grimm and Paul St. Denis; 165 and 166 from Magic Squares and Cubes by W.S. Andrews; 177 and 352 by Henry Ernest Dudeney; 200 by Bruce Patterson; 204 by Bruce Rawles; 206 by Jürgen Schmidhuber; 253 by Abram Hindle; 254, 255, 256, and 257 by Chris Coyne; 258 and 259 by Jock Cooper; 260 by Linda Bucklin; 261 by Sally Hunter; 262 and 263 by Jos Leys; 264 by Robert A. Johnston; and 266 by Cory and Catska Ench. Design and composition by Navta Associates, Inc. No part ofthis 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 Section 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 theCopyright Clearance Center, 222 Rosewood Drive, Danvers, MA 01923, (978) 750-8400, fax (978) 6468600, 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 ofLiability/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 specifically disclaim any implied warranties of merchantability or fitness for a particular purpose. No warranty may be created or extended by sales representatives orwritten sales materials. The advice and strategies contained herein may not be suitable for your situation. You should consult with a professional where appropriate. Neither the publisher nor the author shall be liable for any loss of profit or any other commercial damages, including but not limited to special, incidental, consequential, or other damages. For general information about our other...
Numbers, Puzzles, Madness, Religion, and the Quest for Reality
CLIFFORD A. PICKOVER
John Wiley & Sons, Inc.
A Passion for Mathematics
Works by Clifford A. Pickover
The Alien IQ Test Black Holes: A Traveler’s Guide Calculus and Pizza Chaos and Fractals Chaos in Wonderland Computers, Pattern, Chaos, and Beauty Computers and the Imagination Cryptorunes:Codes and Secret Writing Dreaming the Future Egg Drop Soup Future Health Fractal Horizons: The Future Use of Fractals Frontiers of Scientific Visualization The Girl Who Gave Birth to Rabbits Keys to Infinity Liquid Earth The Lobotomy Club The Loom of God The Mathematics of Oz Mazes for the Mind: Computers and the Unexpected Mind-Bending Visual Puzzles (calendars and card sets) The Paradox of God andthe Science of Omniscience The Pattern Book: Fractals, Art, and Nature The Science of Aliens Sex, Drugs, Einstein, and Elves Spider Legs (with Piers Anthony) Spiral Symmetry (with Istvan Hargittai) Strange Brains and Genius Sushi Never Sleeps The Stars of Heaven Surfing through Hyperspace Time: A Traveler’s Guide Visions of the Future Visualizing Biological Information Wonders of Numbers The Zen ofMagic Squares, Circles, and Stars
A Passion for Mathematics
Numbers, Puzzles, Madness, Religion, and the Quest for Reality
CLIFFORD A. PICKOVER
John Wiley & Sons, Inc.
Copyright © 2005 by Clifford A. Pickover. All rights reserved Published by John Wiley & Sons, Inc., Hoboken, New Jersey Published simultaneously in Canada Illustration credits: pages 91, 116, 137, 140, 142, 149, 150,151, 157, 158, 159, 160, 162, 164, 167, 168, 169, 179, 199, 214, 215, 224, 225, 230, 274, 302, 336, 338, 341, 343, 345, and 348 by Brian C. Mansfield; 113, 114, 115, 145, 146, 332, 333, and 334 by Sam Loyd; 139 courtesy of Peter Hamburger and Edit Hepp; 141 by Stewart Raphael, Audrey Raphael, and Richard King; 155 by Patrick Grimm and Paul St. Denis; 165 and 166 from Magic Squares and Cubes by W.S. Andrews; 177 and 352 by Henry Ernest Dudeney; 200 by Bruce Patterson; 204 by Bruce Rawles; 206 by Jürgen Schmidhuber; 253 by Abram Hindle; 254, 255, 256, and 257 by Chris Coyne; 258 and 259 by Jock Cooper; 260 by Linda Bucklin; 261 by Sally Hunter; 262 and 263 by Jos Leys; 264 by Robert A. Johnston; and 266 by Cory and Catska Ench. Design and composition by Navta Associates, Inc. No part ofthis 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 Section 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 theCopyright Clearance Center, 222 Rosewood Drive, Danvers, MA 01923, (978) 750-8400, fax (978) 6468600, 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 ofLiability/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 specifically disclaim any implied warranties of merchantability or fitness for a particular purpose. No warranty may be created or extended by sales representatives orwritten sales materials. The advice and strategies contained herein may not be suitable for your situation. You should consult with a professional where appropriate. Neither the publisher nor the author shall be liable for any loss of profit or any other commercial damages, including but not limited to special, incidental, consequential, or other damages. For general information about our other...
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