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  • February 13, 2018
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By Calvin C. Clawson

ISBN-10: 0306454041

ISBN-13: 9780306454042

ISBN-10: 1489960805

ISBN-13: 9781489960801

Why likely unrelated mathematical truths are attached in uncomplicated and lovely equations keeps to stump even mathematicians. This leisure math publication takes the reader on a lovely voyage into the realm of ordinary numbers. From the earliest discoveries of the traditional Greeks to varied primary features of the traditional quantity series, Clawson explains interesting mathematical mysteries in transparent and simple prose. He delves into the guts of quantity idea to determine and comprehend the beautiful relationships between ordinary numbers, and ends by means of exploring the last word secret of arithmetic: the Riemann speculation, which says that via some degree in a aircraft, no line could be drawn parallel to a given line.While a qualified mathematician's therapy of quantity idea includes the main subtle analytical instruments, its easy principles are unusually effortless to understand. by means of focusing on the that means at the back of a variety of equations and proofs and heading off technical refinements, Mathematical Mysteries shall we the typical reader capture a glimpse of this excellent and unique world.

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8 multiplied by a number formed from 1 followed by nine zeros. This method of representing numbers is known as scientific notation. We can also represent small numbers with this notation. 01 (1/100) as 10-2 • Hence, the number lO- n is a decimal with allocated n places to the right of the DISCOVERY OF THE NUMBER SEQUENCE 35 decimal point. Therefore we can show very small numbers with a corresponding large n. On a practical scale we have almost reached the limit of numbers used by the general population.

On a practical scale we have almost reached the limit of numbers used by the general population. 5 x 1012), where one trillion is one thousand billion. How long would it take to count up to our national debt if we counted at the rate of 72 per minute? Approximately 145,000 years. Larger numbers are primarily used by scientists. We have actually given names to numbers beyond one trillion, but there is so little use for them that they are generally unfamiliar to most of US. 14 102 103 106 109 1012 1015 1018 1021 1024 1027 1030 1033 1036 1039 1042 1045 1048 1051 1054 1057 1060 1063 = 100 = 1,000 = 1,000,000 = 1,000,000,000 = 1,000,000,000,000 = = = = = = = = = = = = hundred thousand million billion trillion quadrillion quintillion sextillion septillion octillion nonillion decillion undecillion duo decillion tredecillion quattuordecillion quindecillion sexdecillion septendecillion octo decillion novemdecillion vigintillion Other than the observation that some of the names are amusing, their usefulness is questionable since we don't encounter numbers 36 MATHEMATICAL MYSTERIES over a trillion frequently enough to have need of a name for them.

Even though the number, by our standards, is large, compared to all the numbers that exist that are larger, it is still exceedingly small. In fact, it is so small that the chances of choosing such a small number are almost nonexistent. A randomly chosen number must be much larger. But how large? This is where we begin to get into trouble, for no matter what number we come up with as an example, we immediately see there exists only a finite number of numbers that are smaller, and an infinity of numbers that are bigger.

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Mathematical Mysteries: The Beauty and Magic of Numbers by Calvin C. Clawson

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