Numerical Algorithms

The term algorithm it self is derived from the name of a ninth century Persian author, Abu Jafar Mohammed ibn Musa a1 Khowarizmi, who wrote a book in which he formulated rules for performing the four basic arithmetic operations of addition, subtraction, multiplication, and division in the decimal number system. Historically, the notion of algorithm was associated with a finite number of steps grouped together to carry out aspecific arithmetical procedure. You may be acquainted with Euclid's algorithm to find the greatest common divisor of two positive integers m and n: