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An Imaginary Tale:
The Story of the Square Root of Minus One

 
  by Paul J. Nahin, Paul J. Nahin
 
 
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ZIN Product Number: 10193750

 
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By the Numbers
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By The Numbers
 Product Details

  Format: Hardcover, 257 pages
  Publisher: Princeton University Press
  ISBN: 0691027951
  Release Date: Jan 5, 1997


 
 
Cover to Cover
 From The Publisher
In An Imaginary Tale, Paul Nahin tells the 2000-year-old history of one of mathematics' most elusive numbers, the square root of minus one, also known as i, re-creating the baffling mathematical problems that conjured it up and the colorful characters who tried to solve them. Addressing readers with both a general and scholarly interest in mathematics, Nahin weaves into this narrative entertaining historical facts, mathematical discussions, and the application of complex numbers and functions to important problems.

 
 
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 The Reader's Catalog
The 2,000-year-old history of a famous imaginary number

 
 
Table of Contents
 
List of Illustrations
Preface
Introduction3
Ch. 1The Puzzles of Imaginary Numbers8
Ch. 2A First Try at Understanding the Geometry of [the square root of] -131
Ch. 3The Puzzles Start to Clear48
Ch. 4Using Complex Numbers84
Ch. 5More Uses of Complex Numbers105
Ch. 6Wizard Mathematics142
Ch. 7The Nineteenth Century, Cauchy, and the Beginning of Complex Function Theory187
App. AThe Fundamental Theorem of Algebra227
App. BThe Complex Roots of a Transcendental Equation230
App. C([the square root of] -1)[superscript [square root of] -1] to 135 Decimal Places, and How It Was Computed235
Notes239
Name Index251
Subject Index255
Acknowledgments259


 
 
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 Keywords
Numbers, Complex, Numbers, Complex, Numbers, Complex, Theory Of Numbers, Mathematics, History & Philosophy, Mathematical Analysis, Number Theory

 
 
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Inverse Black Hole
By the Numbers
By the Numbers
Cover To Cover
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Reader's Corner
Reader's Corner
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Table of Contents
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Related Reading
Inverse Black Hole
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