Julian Havil

(Author)

Gamma: Exploring Euler's ConstantPaperback, 31 October 2017

Gamma: Exploring Euler's Constant
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Part of Series
Princeton Science Library
Part of Series
Princeton Science Library, 84
Part of Series
Princeton Science Library, 53
Print Length
296 pages
Language
English
Publisher
Princeton University Press
Date Published
31 Oct 2017
ISBN-10
0691178100
ISBN-13
9780691178103

Description

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.

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.

Product Details

Author:
Julian Havil
Book Format:
Paperback
Country of Origin:
US
Date Published:
31 October 2017
Dimensions:
21.34 x 13.97 x 2.29 cm
ISBN-10:
0691178100
ISBN-13:
9780691178103
Language:
English
Location:
Princeton
Pages:
296
Weight:
294.83 gm

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