Gamma: Exploring Euler's ConstantPrinceton University Press, 4 de jan. de 2010 - 296 páginas Among the many constants that appear in mathematics, π, e, and i are the most familiar. Following closely behind is y, or gamma, a constant that arises in many mathematical areas yet maintains a profound sense of mystery. |
Conteúdo
The Logarithmic Cradle | 1 |
The Harmonic Series | 21 |
SubHarmonic Series | 27 |
Zeta Functions | 37 |
Gammas Birthplace | 47 |
The Gamma Function | 53 |
Eulers Wonderful Identity | 61 |
A Promise Fulfilled | 65 |
Its a Logarithmic World | 139 |
Problems with Primes | 163 |
The Riemann Initiative | 189 |
The Greek Alphabet | 217 |
Big Oh Notation | 219 |
Taylor Expansions | 221 |
Complex Function Theory | 225 |
Application to the Zeta Function | 249 |
What Is Gamma Exactly? | 69 |
Gamma as a Decimal | 81 |
Gamma as a Fraction | 91 |
Where Is Gamma? | 101 |
Its a Harmonic World | 119 |