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Gamma: Exploring Euler's Constant
By
Freeman Dyson
and
Julian Havil
Mathematics : Arithmetic

Mathematics : History & Philosophy
Princeton University Press
Publication date: July 2009
ISBN: 9781400832538
Digital Book format: PDF (Adobe DRM)
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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 (17071783), who figures prominently in this book, gamma is defined as the limit of the sum of 1 + 1/2 + 1/3 + . . . up to 1/n, minus the natural logarithm of nthe numerical value being 0.5772156. . .. But unlike its more celebrated colleagues p and e, the exact nature of gamma remains a mysterywe don't even know if gamma can be expressed as a fraction.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 todaythe Riemann Hypothesis (though no proof of either is offered!).Sure to be popular with not only students and instructors but all math aficionados, Gamma takes us through countries, centuries, lives, and works, unfolding along the way the stories of some remarkable mathematics from some remarkable mathematicians.
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Gamma: Exploring Euler's Constant
Freeman Dyson
Princeton University Press, July 2009
ISBN: 9781400832538
EAN: 9781400832538
PDF (Adobe DRM)
List Price:
$
21.95
eBook price:
$
20.99
Gamma: Exploring Euler's Constant
Freeman Dyson
Princeton University Press, July 2009
ISBN: 9781400832538
EAN: 2370004578590
ePub (Adobe DRM)
List Price:
$
21.95
eBook price:
$
20.99
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