## Gamma: Exploring Euler's ConstantAmong the many constants that appear in mathematics, 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 sum of 1 + 1/2 + 1/3 + . . . Up to 1/ Among the numerous topics that arise during this historical odyssey into fundamental mathematical ideas are the Prime Number Theorem and the most important open problem in mathematics today--the Riemann Hypothesis (though no proof of either is offered!). Sure to be popular with not only students and instructors but all math aficionados, |

### What people are saying - Write a review

#### LibraryThing Review

User Review - FPdC - LibraryThingThe constant γ (called the Euler, or the Euler-Mascheroni) constant plays a significant role in Number Theory. Being, like π or e, one of the ubiquitous mathematical constants, it is, still today ... Read full review

#### LibraryThing Review

User Review - fpagan - LibraryThingPickover's _Calculus and Pizza_ doesn't teach anywhere near enough calculus to be able to fully read this book, let me tell you. Euler's constant is the limit, as N approaches infinity, of 1 + 1/2 + 1/3 + ... + 1/N - ln N (approximately 0.5772156). Read full review

### Contents

IV | 1 |

VII | 4 |

VIII | 11 |

IX | 13 |

X | 16 |

XI | 21 |

XV | 22 |

XVI | 27 |

LXXXVI | 134 |

LXXXVII | 139 |

XC | 145 |

XCI | 155 |

XCII | 163 |

XCV | 164 |

XCVI | 167 |

XCVII | 169 |

XIX | 28 |

XX | 31 |

XXI | 33 |

XXII | 37 |

XXV | 42 |

XXVI | 44 |

XXVII | 47 |

XXX | 49 |

XXXI | 53 |

XXXIV | 56 |

XXXV | 57 |

XXXVI | 58 |

XXXVII | 61 |

XL | 62 |

XLI | 65 |

XLIII | 69 |

XLVI | 73 |

XLVII | 75 |

XLVIII | 78 |

XLIX | 81 |

LII | 85 |

LIII | 86 |

LIV | 88 |

LV | 91 |

LIX | 93 |

LX | 95 |

LXII | 98 |

LXIV | 101 |

LXVII | 105 |

LXVIII | 112 |

LXIX | 116 |

LXXI | 119 |

LXXIV | 121 |

LXXVI | 123 |

LXXVII | 125 |

LXXVIII | 126 |

LXXIX | 127 |

LXXXI | 128 |

LXXXII | 130 |

LXXXIII | 131 |

LXXXIV | 132 |

LXXXV | 133 |

XCVIII | 171 |

XCIX | 172 |

C | 174 |

CI | 179 |

CII | 180 |

CIII | 182 |

CIV | 183 |

CV | 186 |

CVI | 189 |

CVII | 191 |

CIX | 193 |

CXII | 196 |

CXIII | 197 |

CXIV | 200 |

CXV | 202 |

CXVI | 204 |

CXVII | 206 |

CXVIII | 207 |

CXIX | 210 |

CXX | 213 |

CXXI | 217 |

CXXIII | 219 |

CXXV | 221 |

CXXIX | 223 |

CXXX | 225 |

CXXXII | 230 |

CXXXIII | 231 |

CXXXIV | 232 |

CXXXV | 235 |

CXXXVII | 237 |

CXXXVIII | 238 |

CXXXIX | 239 |

CXL | 242 |

CXLI | 245 |

CXLII | 247 |

CXLIII | 249 |

CXLV | 253 |

255 | |

259 | |

263 | |