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A Dictionary Of Real Numbers - Hardcover

 
9780534128401: A Dictionary Of Real Numbers

Synopsis

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.

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Synopsis

The Dictionary of Real Numbers was designed for researchers who have encountered various numbers computationally and want to know if these numbers have simple form. The book is structured as a reverse handbook of special function values. It lists over 100,000 eight digit real numbers in the interval (1,0) that arise as the first eight digits of special values of familiar functions. This book should be of interest to researchers in mathematics.

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9781461585121: A Dictionary of Real Numbers

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Borwein, Jonathan; Borwein, Peter
Published by Wadsworth & Brooks (edition 1), 1990
ISBN 10: 0534128408 ISBN 13: 9780534128401
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Borwein, Jonathan M., Borwein, Peter B.
Published by CRC Press LLC, 1990
ISBN 10: 0534128408 ISBN 13: 9780534128401
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Borwein, Jonathan M., Borwein, Peter B.
Published by CRC Press LLC, 1990
ISBN 10: 0534128408 ISBN 13: 9780534128401
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Borwein, Jonathan; Borwein, Peter
Published by Wadsworth & Brooks, 1990
ISBN 10: 0534128408 ISBN 13: 9780534128401
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BORWEIN, Jonathan / BORWEIN, Peter
Published by Wadsworth & Brooks, California, 1990
ISBN 10: 0534128408 ISBN 13: 9780534128401
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Hard Cover. Condition: Good. 424 pages; This book is structured as a reverse handbook of special numbers in the interval [0,1) that arise as the first eight digits of special values of familiar functions.; Hardcover book with slightly rubbed boards. Very good condition. Size: 4to. Livre. Seller Inventory # 013288

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Borwein Jonathan, Borwein Peter
ISBN 10: 0534128408 ISBN 13: 9780534128401
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Hardcover. Condition: Sehr gut. Ein Nachschlagewerk, das sich mit der Erkennung und Anwendung von Zahlen im Intervall [0,1] befasst, die als Werte von bekannten Funktionen auftreten. Ideal für Forscher in Mathematik und Naturwissenschaften. Zustand: Einband mit geringfügigen Gebrauchsspuren, insgesamt SEHR GUTER Zustand! Stichworte: Genres: Reference, Mathematics, Science; Schlagworte: real numbers, mathematics, reference, applied mathematics, computer science, calculation, handbook, functions, Borwein, scientific research. 434 Seiten Englisch 1324g. Seller Inventory # 273621

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Borwein, Jonathan; Borwein, Peter
Published by Wadsworth & Brooks, 1990
ISBN 10: 0534128408 ISBN 13: 9780534128401
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hardcover. Condition: Good. Connecting readers with great books since 1972! Used textbooks may not include companion materials such as access codes, etc. May have some wear or writing/highlighting. We ship orders daily and Customer Service is our top priority! Seller Inventory # S_417194176

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