Contributions of Ancient India :

 
1.India invented the Number system. Zero was invented by Aryabhatta
2.The world’s first University was established in Takshila in 700BC. More than 10,500 students from all over the world studied more than 60 subjects. The University of Nalanda built in the 4 th century BC was one of the greatest achievements of ancient India in the field of education
3. Ayurveda is the earliest school of medicine known to humans.
4. The value of pi was first calculated by Budhayana, and he explained the concept of what is now k! known as the Pythagorean Theorem. British scholars have last year (1999) officially published that Budhayan’s works dates to the 6 th Century which is long before the European mathematicians.

5. Chess was invented in India
6. Sushruta is the father of surgery. 2600 years ago he and health scientists of his time conducted surgeries like cesareans, cataract, fractures and urinary stones. Usage of anesthesia was well known in ancient India.
7. The place value system, the decimal system was developed in India in 100 BC
8. Vasteswaracharya discovered Newton Gauss Interpolation formula about 1000 years before newton
9. Madhavacharya Discovered Taylor Series of Sine And Cosine Function about 250 year Madhavacharya Discovered Taylor Series of Sine And Cosine Function about 250 years
10. Madhavacharya Discovered Newton Power Series
11. Madhavacharya Discovered Gregory Leibnitz series for the inverse tangent about 280years before gregory
12. Madhavacharya Discovered Leibnitz Power Series for PI about 300 years before leibnitz
13. Bhaskaracharya calculated the time taken by the earth to orbit the sun hundereds of years the astrnomer smart. Time Taken be the earth to orbit the sun(5Th Century) : 365.258756484 days
14. Bhaskaracharya II in Beejaganitha(stanza-20) has given clear explanation with the example of infinity
15. Theory of continued fraction was discovered by Bhaskaracharya II
16. Airthematic Progression is explained in Yajurveda
17. Govindaswamin Discovered Newton Gauss Interpolation formula about 1800years before newton
18. Vasteswaracharya discovered Newton Gauss Interpolation formula about 1000 years before newton
19. Parameswaracharya discovered Lhuiler's Formula about 400 years back before Lhuiler
20. Nilakanta Discovered Newtons Infinite GP Convergent Series
21. Positive and Negative Numbers and their calculations were explained first by Brahmagupta in the book Brahmagupta Siddhanta
22. Aryabhatta also propounded the Heliocentric theory of Gravitation, thus predating Copernicus by almost 1000 years