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- Startseite
Bücher Englische Bücher A Dictionary of Real Numbers
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A Dictionary of Real Numbers
Jonathan Borwein (Broschiert, Englisch)
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Beschreibung
How do we recognize that the number . 93371663 . . . is actually 2 IoglQ(e + 7r)/2 ? Gauss observed that the number 1. 85407467 . . . is (essentially) a rational value of an elliptic integral-an observation that was critical in the development of nineteenth century analysis. How do we decide that such a number is actually a special value of a familiar function without the tools Gauss had at his… disposal, which were, presumably, phenomenal insight and a prodigious memory? Part of the answer, we hope, lies in this volume. This book is structured like a reverse telephone book, or more accurately, like a reverse handbook of special function values. It is a list of just over 100,000 eight-digit real numbers in the interval [0,1) that arise as the first eight digits of special values of familiar functions. It is designed for people, like ourselves, who encounter various numbers computationally and want to know if these numbers have some simple form. This is not a particularly well-defined endeavor-every eight-digit number is rational and this is not interesting. However, the chances of an eight digit number agreeing with a small rational, say with numerator and denominator less than twenty-five, is small. Thus the list is comprised primarily of special function evaluations at various algebraic and simple transcendental values. The exact numbers included are described below. Each entry consists of the first eight digits after the decimal point of the number in question. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
30.12.2011
Sprache
Englisch
EAN
9781461585121
Herausgeber
Springer US
Sonderedition
Nein
Autor
Jonathan Borwein
Seitenanzahl
434
Einbandart
Broschiert
Schlagwörter
Division, Elliptic integral, Volume, computation, design, development, evaluation, form, function, functions, integral, memory, real number, special function, tool
Thema-Inhalt
PBW - Angewandte Mathematik
Höhe
279 mm
Breite
21 cm
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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