Abu Bakr Al-Karkhi (died 1029 A.D.)

A Muslim Mathematician from Baghdad.  He wrote many books about Algebra and Arithmetic.  His three major works are Al-Badi’ fi’l-hisab (Wonderful on calculation), Al-Fakhri fi’l-jabr wa’l-muqabala (Glorious on algebra), and Al-Kafi fi’l-hisab (Sufficient on calculation).

Al-Karkhi was an engineer and mathematician of the highest calibre. His enduring contributions to the field of mathematics and engineering are still recognized today in the form of the table of binomial coefficients, its formation law:

 {n \choose m} = {n-1 \choose m-1} + {n-1 \choose m}

and the expansion:

(a+b)^n=\sum_{k=0}^n{n \choose k}a^kb^{n-k}

for integer n.

Advertisements

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s