Saturday, May 10, 2008

The Most Remarkable Formula in All Math.......

.....involves three of the most famous constants of all, all encompassed in five symbols.

The constants are:

"pi", the number equal to the circumference of a circle divided by it's diameter, numerically, 3.1415926.....

"e", perhaps less-known, but maybe equally widely used. It is the base of natural logarithms and is the limit of ((1 +1/n)**(n)) as "n" gets nearer to infinity:





"i", the square root of -1, the "imaginary number",

-1 itself,

and an equals "=".

In visual form it is:









In order to get to this amazing result, an understanding of calculus, complex numbers, and trigonometry is needed.

2 comments:

Wyman Stewart said...

I think I can say this does stagger the mind when you think about it. As I recall, originally, no one saw a connection between these constants. Can you or one of your readers tell me who made this connection? Was it the brilliant young mathematician who was killed in a dual or someone else? I can't recall the name. Thank you.

AkiToo said...

Try this links, Wyman.

http://www.po28.dial.pipex.com/maths/constant.htm

for the constants, and then

http://www.po28.dial.pipex.com/maths/formulae.htm

for the formula.