कैसे Indian Mathematicians ने गणित के इतिहास को बदला Discovery of trigonometry, calculus and more 

Let us understand this change through timeline.
499 CE Aryabhatta of Kusumpura (modern Patna) composes Aryabhatya, gives best value of pi to 5 decimal places, trigonometric tables accurate to 0.03 per cent, gives formulae for calculating sine for intermediate angles, develops word numerals, kuttaka method of solving indeterminate equations; solves cube roots.
628 CE Brahmagupta composes BrahmasphutaSiddhanta. Uses zero, negative numbers, solves so-called Pell’s (1668) equation Nx2+1=y2, geometric progressions, formula for finding “Pythagorean” triplets and methods for calculating sine of intermediate angles from the sine tables.
762 CE Baghdad city founded by Abu Jafar al-Mansur with its famed “House of Wisdom” centre of learning.
770 CE Kanka, a scholar from Ujjain, invited to Baghdad to explain Hindu arithmetic and astronomy. Brahmasphuta Siddhanta translated by Al Fazari into Arabic and named Sind Hind (for siddhanta). Another translation of Indian astronomy, Alarkand, may have been that of Surya Siddhanta.
820 CE al-Khwarizmi writes The Book of Addition and Subtraction According to the Hindu Calculation (Kitab al-Jam wa-l-tafriq bi-hisab al-Hind). The original Arabic does not survive.
About 830 al-Khwarizmi writes The Compendious Book on Calculation by Completion and Balancing (al-Kitab al-mukhtasar fi hisab al-jabr wa’l-muqabala). From the word al-jabr, we get the word algebra.
850 CE Mahavira writes Ganita Sara Sangraha, works on unit fractions, combinatorics and fractions.
900 CE Sridhara is first mathematician to give a rule to solve a quadratic equation.
About 1120 CE Adelard of Bath translates Sridhara’s book in Latin, which survived.
1150 CE Bhaskara writes Siddhanta Shiromani with works on arithmetic, algebra, spheres and astronomy; advances operations on zero and concept of infinity; advances knowledge on permutations and combinations; first sure signs of differential calculus and Rolle’s theorem (1691) when finding instantaneous speed of a planet; leaps in trigonometric formulae; refines kuttaka method; solves so-called Pell’s equation using his chakravala method.
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