Tags » Continued Fractions

CALENDARS AND FRACTIONAL APPROXIMATION

Have you ever wondered what a calendar is? How would you explain the notion of a calendar to an alien, albeit a very precocious one with some notion of homo sapiens common sense? 1,518 more words

OTHER

Irrationality of Euler's e

Jacob Bernoulli first introduced the number . Later it was showed that is irrational, even transcendental(which is not a root of any polynomial with rational coefficients). 264 more words

Number Theory

Continued Fractions

In fact, the matrix formulation of Fibonacci numbers mentioned before can be generalized to represent any 2-D matrix and, by way of continued fractions, any real number – not just the golden mean. 167 more words

Mathematics

A continued fraction experiment

I’m a big fan of continued fractions – especially the many different ways that you can use them to help kids learn elementary math. Right now I’m studying square roots with my younger son and he’s taken quite a liking to continued fractions, too. 193 more words

Celebrating Pi day with Evelyn Lamb's idea

Last week Evelyn Lamb wrote a nice piece about and continued fractions.

Don't recite digits to celebrate pi. Recite its continued fraction instead. http://t.co/YMpGj9M1Mk

— Evelyn Lamb (@evelynjlamb) …

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Fibonacci Numbers

I recently discovered a cool fact about Fibonacci numbers that I didn’t know before. Today, I’m going to share it with you.

Some History

Fibonacci himself was an Italian mathematician who lived in the Middle Ages. 600 more words

Number Theory

A game with Pi

Here’s an image of something I wrote down, took a photo of, and posted here for you. It’s a little game you can play with any irrational number. 133 more words

Miscellaneous