With diagrams. Loosely inserted handwritten letter by Julian Havil to Nick Lord thanking him for his positive opinion of the book. Some pages with neat pencilled mathematical annotations in the hand of Nick Lord. Light wear to spine, covers, corners & dustjacket. ; Octavo; xxiv, 266 pages.

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Dati bibliografici

Titolo: Gamma Exploring Euler's Constant
Editore: Princeton University Press, Princeton, New Jersey
Data di pubblicazione: 2003
Lingua: Inglese
ISBN 10: 0691099839
ISBN 13: 9780691099835
Rilegatura: Original cloth
Edizione: First Edition.
Condizione: Very Good+
Condizione della sovraccoperta: Near Fine dust

Descrizione articolo

Riassunto

Among the myriad of constants that appear in mathematics, p, e, andi 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 ofn--the numerical value being 0.5772156. . .. But unlike its more celebrated colleaguesp 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.

Dalla quarta di copertina

"I like this book very much. So much, in fact, that I found myself muttering 'neat stuff!' all the way through. While it is about an important topic, there isn't a single competitor. This amazing oversight by past authors is presumably the result of the topic requiring an author with a pretty sophisticated mathematical personality. Havil clearly has that. His skillful weaving of mathematics and history makes the book a 'fun' read. Many instructors will surely find the book attractive."--Paul J. Nahin, author of Duelling Idiots and Other Probability Puzzlers and An Imaginary Tale

"This is an excellent book, mathematically as well as historically. It represents a significant contribution to the literature on mathematics and its history at the upper undergraduate and graduate levels. Julian Havil injects genuine excitement into the topic."--Eli Maor, author of e: The Story of a Number

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