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An imaginary tale : the story of [the square root of minus one]

Author: Paul J Nahin
Publisher: Princeton, New Jersey : Princeton University Press, [2007] ©1998
Series: Princeton science library.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:

In the title, "[the square root of minus one]" appears as a radical over "-1."

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Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Paul J Nahin
ISBN: 9780691146003 0691146004 9781400833894 1400833892 9781400881291 1400881293 0691169241 9780691169248
OCLC Number: 951546197
Notes: "New preface and appendixes by the author, 2007"--Title page verso.
On title page "[the square root of minus one]" appears as a radical over "-1".
Awards: Winner of Best Professional/Scholarly Book in Mathematics, Association of American Publishers 1998 (United States)
Short-listed for Choice's Outstanding Academic Books 1999 (United States)
Description: 1 online resource (1 volume) : illustrations.
Contents: *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 -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. ( -1)( -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
Series Title: Princeton science library.
Other Titles: Imaginary tale : the story of [the square root of negative one]
Responsibility: with a new preface by the author, Paul J. Nahin.

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One of Choice's Outstanding Academic Titles for 1999 Honorable Mention for the 1998 Award for Best Professional/Scholarly Book in Mathematics, Association of American Publishers "A book-length hymn Read more...

 
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