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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 (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 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

Who reads Gamma: Exploring Euler's Constant (Princeton Science Library (84))?

Author

Julian Havil; Freeman Dyson

Publisher

Princeton University Press

Published

2003

Language

EN

ISBN

9780691141336

Category

mathematics

Subjects

History, Mathematics, Philosophy

Rating

4.06 / 5 (107 ratings)

Updated

2026-03-14