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 (1[zasłonięte]707-17), 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 n - the numerical value
being 0.[zasłonięte]57721...But unlike its more celebrated
colleagues p and e, the exact nature of gamma remains a
mystery - we 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 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, ''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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