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An imaginary tale : the story of [the square root of minus one] /
Today complex numbers have such widespread practical use--from electrical engineering to aeronautics--that few people would expect the story behind their derivation to be filled with adventure and enigma. In An Imaginary Tale, Paul Nahin tells the 2000-year-old history of one of mathematics' mo...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton, N.J. :
Princeton University Press,
2007.
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| Edición: | 1st pbk. ed. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Title; Copyright; Contents; List of Illustrations; Preface to the Paperback Edition; Preface; CHAPTER ONE: The Puzzles of Imaginary Numbers; CHAPTER TWO: A First Try at Understanding the Geometry of v1; CHAPTER THREE: The Puzzles Start to Clear; CHAPTER FOUR: Using Complex Numbers; CHAPTER FIVE More Uses of Complex Numbers; CHAPTER SIX Wizard Mathematics; CHAPTER SEVEN: The Nineteenth Century, Cauchy, and the Beginning of Complex Function Theory; APPENDIXES A. The Fundamental Theorem of Algebra; APPENDIXES B. The Complex Roots of a Transcendental Equation.
- APPENDIXES C. (v1)[sup(v1)]to 135 Decimal Places, and How It Was ComputedAPPENDIXES D. Solving Clausen's Puzzle; APPENDIXES E. Deriving the Differential Equation for the Phase-Shift Oscillator; APPENDIXES F. The Value of the Gamma Function on the Critical Line; Notes; Name Index; Subject Index; Acknowledgments.