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Exploding Digits Amazing Patterns in Decimal Fractions - WILLIAM B. MARTIN

englanti
2016-02-01
6,90 € 10,61 €

-35% koodilla BOOKS

Toimittajalla varastossa

Toimitus 10-16 arkipäivässä

30 päivän palautusoikeus

As decimals, all fractions either terminate or repeat a pattern of digits forever. This book focuses on the pattern of the repeating digits. Fractions can have one, two or any number of repeating digits. For example, 3/7 has the six-digit pattern {4,2,8,5,7,1} repeating forever. Other fractions have patterns that are too long for the pattern to be seen even on a good calculator. Enter 5/23 on a calculator. ... Täydellinen kuvaus

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Kuvaus

As decimals, all fractions either terminate or repeat a pattern of digits forever. This book focuses on the pattern of the repeating digits. Fractions can have one, two or any number of repeating digits. For example, 3/7 has the six-digit pattern {4,2,8,5,7,1} repeating forever. Other fractions have patterns that are too long for the pattern to be seen even on a good calculator. Enter 5/23 on a calculator. It has a 22 digit long pattern which repeats forever, an explosion of digits! Some fractions have repeating decimals that start repeating immediately after the decimal point, and some start repeating later. What causes these different behaviors? Groups of fractions with the same denominator, such as 1/13,2/13,3,13, ..., 12/13 are discussed. A beautiful pattern of closely related expansions are seen. In fact we show how to make clocks which organize these 12 fractions. The book explains that just one theorem from number theory has consequences that explain all these expansions.

Lisätietoja

Kirjoittaja WILLIAM B. MARTIN
Julkaisija CreateSpace Independent Publishing Platform
Julkaisuvuosi 2016
Kannen tyyppi Pehmeäkantinen
EAN 9781517361167
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Arvostelet: Exploding Digits Amazing Patterns in Decimal Fractions
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6,90 € 10,61 €