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Index
Cover Page Title Page Copyright Page Dedication Page A Note to the Reader Contents Illustration Preface to the Paperback Edition Preface Introduction Chapter One: The Puzzles of Imaginary Numbers Chapter Two: A First Try at Understanding the Geometry of 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 Appendix A: The Fundamental Theorem of Algebra Appendix B: The Complex Roots of a Transcendental Equation Appendix C: to 135 Decimal Places, and How it was Computed Appendix D: Solving Clausen's Puzzle Appendix E: Deriving the Differential Equation for the Phase-Shift Oscillator Appendix F: The Value of the Gamma Function on the Critical Line Notes Named Index Subject Index Acknowledgements
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