Minggu, 30 November 2008

NUMBER OF PI ( π )

NUMBER OF PI ( π )

Pi ( π ) is the irrational number. Usually, pi is used to compute the area of a circle. Pi is discovered by many mathematicians : Archimedes, Ptolemy, Liu Hui and the father and son tandem of Tsu Chung-Chih and Tsu Keng-Chih, etc.

They found kind of approximation. In the third century AD, Archimedes found that of the value of pi in three decimal places and Ptolemy computed for four decimal places. But after that, for 1450 years, no greater accuracy was achieved in the Western world.

Then, the Chinese made great strides forward in computing pi. Example, in the third century AD, Liu Hui thus calculated a value of pi of 3,14159. Next, in the 5th century AD, the father and son tandem of Tsu Chung-Chih and Tsu Keng-Chih found that pi used to six decimal places. They gave 3,1415926 < π < 3,1415927.

Besides that, in Europe the calculation of pi by Adriaen Anthoniszoon only gave 3,14929 , an approximate value extending to seven places, which still fell three short of the value found by the Tsu family.

Study mathematic

STUDY MATHEMATIC

Why we study mathematic? The answer is because mathematic to live on people idea. Therefore, study mathematic is very important and the culture is the first development of mathematic.
History mathematic rule two point that is:

1. The idea mathematic, example : Idea Socrates about mathematic, etc

2. Archaelogical remains

Capital principle about study mathematic :

a) Motivation, dream, and have feel well

b) Attitude

c) Knowledge

d) Browsing internet

We know about mathematic in the first place is history mathematic. So, history mathematic has a lot of part inside development mathematic.

Kind of method study about history mathematic :

  • Study history from other source
  • Follow lectrur subject
  • cooperation with other people, etc

Study about history mathematic from other source can account of book or internet. With browsing internet, we can also know history mathematic. We can find that at google, wicipedia, or encyclopedia.

For source from book, example from “The History of Mathematics”. The book explain a lot of archaelogical remains, example Plimpton 322 ( Babilonia mathematic). Besides that follow lectrur subject history mathematic can add knowledge about mathematic.