The Grapes of Math
How Life Reflects Numbers and Numbers Reflect LifeBook - 2014 | First Simon & Schuster hardcover edition.
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OMG!!! LOL!!! It turns out that if we calculate 1/n! for every number starting from 0, then add up all the terms, the answer is e.
Euler’s identity is the “To be or not to be” of mathematics, the most famous line in the oeuvre and a piece of cultural heritage that resonates beyond its field: e^iπ + 1 = 0
...The equation is mind-blowing. It cleanly unites the five most important numbers in math: 1, the first counting number; 0, the abstraction of nothing; π, the ratio of a circle’s circumference to its diameter; e, the exponential constant; and i, the square root of minus one.
Jokes are stories with a setup and a punch line. You follow them carefully until the payoff, which makes you smile. A piece of math is also a story with a setup and a punch line. It’s a different type of story, of course, in which the protagonists are numbers, shapes, symbols and patterns. We’d usually call a mathematical story a “proof,” and the punch line a “theorem.”
It is really rule of 69:
So, the number of compounding periods tit takes for a quantity to double is 69 divided by the percentage growth rate R. Because 72 is an easier number to divide than 69, the number most commonly used in the rule is 72, even though 69 would be more accurate.
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