Following closely behind is y, 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 sum of 1 + 1/2 + 1/3 + . . . Up to 1/n, minus the natural logarithm of n--the numerical value being 0.5772156. . . . But unlike its more celebrated colleagues π 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.-- "Notices of the American Mathematical Society"

    Survival of the fittest or survival of the nicest? Since the dawn of time man has contemplated the mystery of altruism, but it was Darwin who posed the question most starkly. From the selfless ant to the stinging bee to the man laying down his life for a stranger, evolution has yielded a goodness that in theory should never be. Set against the sweeping tale of 150 years of scientific attempts to explain kindness, The Price of Altruism tells for the first time the moving story of the eccentric American genius George Price (1922–1975), as he strives to answer evolution's greatest riddle. An original and penetrating picture of twentieth century thought, it is also a deeply personal journey. From the heights of the Manhattan Project to the inspired equation that explains altruism to the depths of homelessness and despair, Price's life embodies the paradoxes of Darwin’s enigma. His tragic suicide in a squatter’s flat, among the vagabonds to whom he gave all his possessions, provides the ultimate contemplation on the possibility of genuine benevolence. 24 Illustrations.