Work

Subject

Author

Notes

Vedanga Jyotisha

Astrology

Lagadha
(1^{st} c. BCE)

Describes rules for tracking motion of sun and moon

Yavanajataka

Astrology

Sphujidvaja
1^{st}2^{nd} c. CE)

Translated it mean “Nativity as per the Greeks”
It is a collection of astrologyrelated ideas borrowed from Greek world
Gives rules for building horoscopes

Surya Siddhanta

Astronomy
 
Establishes rules to determine motions of stellar objects

Paulisa Siddhanta
(Doctrine of Paul)

Astronomy
 
Based on works of Paul of Alexandria
(c. 378 CE)

Romaka Siddhanta
(Doctrine of the Romans)

Astronomy
 
Based on works of Rome
It is the only Indian work based on the tropical system

Vasishta Siddhanta

Astronomy
 
Attributed to sage Vasishta

Panchasiddhantika

Astronomy

Varahamihira
(c. 550 CE)

Work that compares five treatises on astronomy viz. Surya Siddhanta, Paulisa Siddhanta, Romaka Siddhanta, Vasishta Siddhanta and Paitamaha Siddhanta

Sulba sutras

Mathematics

Baudhayana (c. 800 BCE), Apasthamba (c. 600 BCE), Katyayana (c. 200 BCE)

Baudhayana enumerated the Pythagoras theorem. He also described square root of 2 and geometric shapes such as squares and rectangles
Apasthamba and Katyayana developed these principles further

Chandahsastra

Mathematics

Pingala
(4^{th}2^{nd} c. BCE)

First known description of binary numeral system in the world
Also describes Pascal’s triangle, binomial theorem and Fibonacci numbers

Aryabhatiya

Astronomy, mathematics

Aryabhata
(c 522 CE)

Introduced decimal value notation
Describes heliocentric model of solar system
Explained lunar and solar eclipses
Gave duration of one year as 365 days 6 hrs 12 min 30 sec
Gave value of pi (3.1416)
Correctly calculated earth’s circumference as 24,835 miles
Aryabhata’s principles are still in use for fixing the Hindu calendar Panchanga

Mahabhaskariya

Mathematics, astronomy

Bhaskara I
(c. 600 – 680 CE)

Representation of numbers in positional system
Solved Wilson’s theorem and Pell equation

Brahmasputasiddhanta

Mathematics, astronomy

Brahmagupta
(c. 630 CE)

Describes solution of linear equation
Solve system of simultaneous indeterminate equations
Sum of series
Introduced the concept of zero
Formula for cyclic quadrilaterals
Rebutted the idea that moon is farther from earth than the sun

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