An Imaginary Tale: The Story of √-1
| Book | An Imaginary Tale: The Story of √-1 |
| Format | Hardback |
| Language | English |
| Copyright | 1998 |
| Author | Paul J. Nahin |
| Publisher | Princeton University Press |
| Copyright Holder | Princeton University Press |
| Illustrator | Remedios Varo |
| Cover/Jacket Design by | David J, Fiore, Wendi Traub-Cohen |
| Format | Hardback |
| Language | English |
| Location | United States |
| Copyright | 1998 |
| Pages / Font | 257 pages / Times Roman |
| UPC | 9 780691 027951 |
| UPC 5 | 90000 |
| ISBN | 0-691-02795-1 |
| Library of Congress Catalog Card Number | 97-52082 |
| Library of Congress Classification Number | QA255.N34 1998 |
| Dewey Decimal Classification Number | 515'.9-dc21 |
| Printer's Key | 6 7 8 9 10 |
| Chapters | List of Illustrations . . . xi
Preface . . . xiii
Introduction . . . 3
Chapter One: The Puzzles Of Imaginary Numbers . . . 8
Chapter Two: A First Try At Understanding The Geometry Of √-1 . . . 31
Chapter Three: The Puzzles Start To Clear . . . 48
Chapter Four: Using Complex Numbers . . . 84
Chapter Five: More Uses Of Complex Numbers . . . 105
Chapter Six: Wizard Mathematics . . . 142
Chapter Seven: The Nineteenth Century, Cauchy, And The Beginning Of Complex Function Theory . . . 187
Appendixes . . . 227
A. The Fundamental Theorem Of Algebra . . . 227
B. The Complex Roots Of A Transcendental Equation . . . 230
C. [( √-1) to the √-1 power] To 135 Decimal Places, And How It Was Computed . . . 235
Notes . . . 239
Name Index . . . 251
Subject Index . . . 255
Acknowledgments . . . 259 List of Illustrations . . . xi
Preface . . . xiii
Introduction . . . 3
Chapter One: The Puzzles Of Imaginary Numbers . . . 8
Chapter Two: A First Try At Understanding The Geometry Of √-1 . . . 31
Chapter Three: The Puzzles Start To Clear . . . 48
Chapter Four: Using Complex Numbers . . . 84
Chapter Five: More Uses Of Complex Numbers . . . 105
Chapter Six: Wizard Mathematics . . . 142
Chapter Seven: The Nineteenth Century, Cauchy, And The Beginning Of Complex Function Theory . . . 187
Appendixes . . . 227
A. The Fundamental Theorem Of Algebra . . . 227
B. The Complex Roots Of A Transcendental Equation . . . 230
C. [( √-1) to the √-1 power] To 135 Decimal Places, And How It Was Computed . . . 235
Notes . . . 239
Name Index . . . 251
Subject Index . . . 255
Acknowledgments . . . 259 Show all ▾ |
| Notes | Library of Congress Cataloging In Publication Data Nahin, Paul J. An imaginary tale: the story of [the square root of minus one] / Paul J. Nahin p. cm. On t.p. "[the square root of minus one]" appears as a radical over "-1". Includes bibliographical references and indexes. 1. Numbers, Complex. I. Title QA255.N34 1998 ISBN 0-691-02795-1 (cloth : all. Paper) 515'.9---dc21 97-52082 |
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