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020 _a9781400832538
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020 _a1400832535
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020 _z9780691141336
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035 _a(OCoLC)609851833
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072 7 _aMAT
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072 7 _aMAT015000
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082 0 4 _a513
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049 _aMAIN
100 1 _aHavil, Julian,
_d1952-
_963748
245 1 0 _aGamma :
_bexploring Euler's constant /
_cJulian Havil.
260 _aPrinceton, N.J. :
_bPrinceton University Press,
_c2009.
300 _a1 online resource (xxiii, 266 pages) :
_billustrations
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aPrinceton Science Library
504 _aIncludes bibliographical references (pages 255-258) and index.
588 0 _aPrint version record.
505 0 _aCover; 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.
505 8 _aCHAPTER 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.
520 _aAmong 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.
590 _aIEEE
_bIEEE Xplore Princeton University Press eBooks Library
600 1 0 _aEuler, Leonhard,
_d1707-1783.
_963749
600 1 7 _aEuler, Leonhard,
_d1707-1783.
_2fast
_0(OCoLC)fst00003005
_963749
650 0 _aMathematical constants.
_963750
650 0 _aGamma functions.
_963751
650 6 _aConstantes (Math�ematiques)
_963752
650 6 _aFonctions gamma.
_963753
650 7 _aMATHEMATICS
_xArithmetic.
_2bisacsh
_963754
650 7 _aMATHEMATICS
_xHistory & Philosophy.
_2bisacsh
_963755
650 7 _aGamma functions.
_2fast
_0(OCoLC)fst00937592
_963751
650 7 _aMathematical constants.
_2fast
_0(OCoLC)fst01012076
_963750
655 0 _aElectronic books.
_93294
655 4 _aElectronic books.
_93294
700 1 _aDyson, Freeman J.
_963756
776 0 8 _iPrint version:
_aHavil, Julian, 1952-
_tGamma.
_dPrinceton, N.J. : Princeton University Press, 2009
_z9780691141336
_w(OCoLC)276340758
830 0 _aPrinceton science library.
_963757
856 4 0 _uhttps://ieeexplore.ieee.org/servlet/opac?bknumber=9452347
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