| Document Type
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BL
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| Record Number
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984637
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| Doc. No
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b739007
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| Main Entry
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Havil, Julian,1952-
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| Title & Author
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Gamma : : exploring Euler's constant /\ Julian Havil.
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| Publication Statement
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Princeton, N.J. :: Princeton University Press,, 2009.
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| Series Statement
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Princeton Science Library
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| Page. NO
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1 online resource (xxiii, 266 pages) :: illustrations
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| ISBN
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1400832535
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: 9781400832538
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0691141339
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9780691141336
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| Bibliographies/Indexes
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Includes bibliographical references (pages 255-258) and index.
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| Contents
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Cover; Title; Copyright; Contents; Foreword; Acknowledgements; Introduction; CHAPTER ONE: The Logarithmic Cradle; CHAPTER TWO: The Harmonic Series; CHAPTER THREE: Sub-Harmonic Series; CHAPTER FOUR: Zeta Functions; CHAPTER FIVE: Gamma's Birthplace; CHAPTER SIX: The Gamma Function; CHAPTER SEVEN: Euler's Wonderful Identity; CHAPTER EIGHT: A Promise Fulfilled; CHAPTER NINE: What Is Gamma ... Exactly?; CHAPTER TEN: Gamma as a Decimal; CHAPTER ELEVEN: Gamma as a Fraction; CHAPTER TWELVE: Where Is Gamma?; CHAPTER THIRTEEN: It's a Harmonic World; CHAPTER FOURTEEN: It's a Logarithmic World.
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CHAPTER FIFTEEN: Problems with PrimesCHAPTER SIXTEEN: The Riemann Initiative; APPENDIX A: The Greek Alphabet; APPENDIX B: Big Oh Notation; APPENDIX C: Taylor Expansions; APPENDIX D: Complex Function Theory; APPENDIX E: Application to the Zeta Function; References; Name Index; Subject Index.
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| Abstract
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Among the myriad of constants that appear in mathematics, p, e, and i are the most familiar. Following closely behind is g, or gamma, a constant that arises in many mathematical areas yet maintains a profound sense of mystery. In a tantalizing blend of history and mathematics, Julian Havil takes the reader on a journey through logarithms and the harmonic series, the two defining elements of gamma, toward the first account of gamma's place in mathematics. Introduced by the Swiss mathematician Leonhard Euler (1707-1783), who figures prominently in this book, gamma is defined as the limit of the su.
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| Subject
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Euler, Leonhard,1707-1783.
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Euler, Leonhard,1707-1783.
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| Subject
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Gamma functions.
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| Subject
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Mathematical constants.
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| Subject
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Gamma functions.
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| Subject
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Mathematical constants.
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| Subject
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MATHEMATICS-- Arithmetic.
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| Subject
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MATHEMATICS-- History Philosophy.
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| Dewey Classification
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513
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| LC Classification
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QA353.G3H38 2009eb
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| Added Entry
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Dyson, Freeman J.
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