An Imaginary Tale: The Story of √-1
| Book | An Imaginary Tale: The Story of √-1 |
| Publisher | Princeton University Press |
| Copyright Holder | Princeton University Press |
| Cover/Jacket Design by | Carmina Alvarez-Gaffin |
| Publisher Series | Princeton Science Library |
| Format | Paperback |
| Language | English |
| Location | United States |
| Copyright | 1998 |
| First Published In Paperback | 2007 |
| This Edition Published | 2010 |
| Pages / Font | 267 pages / Times Roman |
| ISBN | 978-0-691-14600-3 |
| Barcode | 9 780691 146003 51695 |
| Chapters | List of Illustrations . . . xi Preface to the Paperback Edition . . . xiii Preface . . . xxi 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 D. Solving Clausen's Puzzle E. Deriving the Differential Equation for the Phase-Shift Oscillator F. The Value of the Gamma Function on the Critical Line Notes . . . 247 Name Index . . . 261 Subject Index . . . 265 Acknowledgments . . . 269 |
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