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Brahmagupta was born in 598 A.D. and lived in the northwest of India until he died in 668 A.D. He was an astronomer and mathematician, writing the Brahma Siddhanta, a compendious volume of astronomy. The publication deals with arithmetic, progressions, and geometry. One of the chapters is called the Kuttaka, the pulverizer and it’s usually associated with Aryabhata’s method of solving the indeterminate equation


ax + by = c


Brahmagupta has developed a method of solving indeterminate equations of the second degree and rules of solving simple quadratic equations of various types.


The Brahma Sidhanta is the earliest known text other than the Mayan number system to treat zero as a number in its own right. It goes well beyond that, however, stating rules for arithmetic on negative numbers and zero which are quite close to the modern understanding. The major divergence is that Brahmagupta attempted to define division by zero, which is left undefined in modern mathematics. He states that 0/0 = 0, which would be a handicap to discussion of removable singularities (is a point at which the function is not defined, but at which the function can be defined without creating any problems) in calculus.





Reference for the contents above and further information of Brahmagupta’s live:




Ziegenbalg J.: Algorithmen, von Hammurapi bis Gödel; Spektrum Akademischer Verlag Heidelberg, Berlin 1996



Further information on the Brahmagupta’s Formula and Theorems:





Further information on the Divison by Zero: