Text Box: Madhavacharya discovered Taylor series of Sine and Cosine function about 250 years before Taylor.
Madhavacharya discovered Newton Power series.
Madhavacharya discovered Gregory Leibnitz series for the Inverse Tangent about 280 years before Gregory.
Madhavacharya discovered Leibnitz power series for pi about 300 years before Leibnitz.
Bhaskaracharya calculated the time taken by the earth to orbit the sun hundreds of years before the astronomer Smart. Time taken by earth to orbit the sun: (5th century) 365.258756484 days
Infinity was well known for ancient Indians. Bhaskaracharya II in Beejaganitha(stanza-20) has given clear explanation with examples for infinity
Text Box: Theory of Continued Fraction was discovered by Bhaskaracharya II.
Indians discovered Arithmetic and Geometric progression. Arithmetic progression is explained in Yajurveda.
Govindaswamin discovered Newton Gauss Interpolation formula about 1800 years before Newton.
Vateswaracharya discovered Newton Gauss Backward Interpolation formula about 1000 years before Newton.
Parameswaracharya discovered Lhuiler’s formula about 400 years before Lhuiler.
Nilakanta discovered Newton’s Infinite Geometric Progression convergent series.
Positive and Negative numbers and their calculations were explained first by Brahmagupta in his book Brahmasputa Siddhanta.
Aryabhatta also propounded the Heliocentric theory of gravitation, thus predating Copernicus by almost one thousand years. 
Text Box: India