Mathematics in Ancient and Medieval India c4.s3.t2.5

c4.s3.t2.5

The *Āryabhaṭīya* is essentially a systematisation of the results contained in the *Siddhāntas* and it is of particular value because of the picture it gives of the state of mathematical knowledge of the period, no less than for the impulse it gives to the study of the subject. In its pages are to be found alphabet-numeral system of notation, rules for the usual arithmetical operations including involution and evolution. He gave methods of solution of simple and quadratic equations, indeterminate equations of first degree. Āryabhaṭa I devoted considerable attention to trigonometry and his introduction of the sines and versed sines was a notable improvement upon the clumpsy half chords of Ptolemy. He hit upon a remarkably close approximations to the ratio of the circumference of a circle to its diameter ( i.e., π=3.1416 ), which is