Nahin An Imaginary Tale

The Story of v-1
With a New preface by the author
ISBN: 978-1-4008-3389-4
Verlag: De Gruyter
Format: EPUB
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, Band 42, 296 Seiten

Reihe: Princeton Science Library

No detailed description available for "An Imaginary Tale".

Autoren/Hrsg.

Nahin, Paul J.

Inhaltsverzeichnis

FrontMatter, pg. i
A Note to the Reader, pg. vii
Contents, pg. ix
Illustrations, pg. xi
Preface to the Paperback Edition, pg. xiii
Preface, pg. xxi
Introduction, pg. 1
CHAPTER ONE The Puzzles of Imaginary Numbers, pg. 8
CHAPTER TWO. A First Try at Understanding the Geometry of v-1, pg. 31
CHAPTER THREE. The Puzzles Start to Clear, pg. 48
CHAPTER FOUR. Using Complex Numbers, pg. 84
CHAPTER FIVE. More Uses of Complex Numbers, pg. 105
CHAPTER SIX. Wizard Mathematics, pg. 142
CHAPTER SEVEN. The Nineteenth Century, Cauchy, and the Beginning of Complex Function Theory, pg. 187
APPENDIX A. The Fundamental Theorem of Algebra, pg. 227
APPENDIX B. The Complex Roots of a Transcendental Equation, pg. 230
APPENDIX C. (v-1)(v-1) to 135 Decimal Places, and How It Was Computed, pg. 235
APPENDIX D. Solving Clausen’s Puzzle, pg. 238
APPENDIX E. Deriving the Differential Equation for the Phase-Shift Oscillator, pg. 240
APPENDIX F. The Value of the Gamma Function on the Critical Line, pg. 244
Notes, pg. 247
Name Index, pg. 261
Subject Index, pg. 265
Acknowledgments, pg. 269

Über Autor(innen)

Paul J. Nahin is professor emeritus of electrical engineering at the University of New Hampshire and the author of many best-selling popular math books, including The Logician and the Engineer and Will You Be Alive 10 Years from Now? (both Princeton).