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Mathematics & Astronomy

Detailed knowledge in mathematics is given in the books written by Aryabhatta I, Aryabhatta III, Bhaskara I, Bhaskara II, Vateswara, Manjula, Lalla, Varahamihira, Parameswara, Sankaranarayana, and many other mathematicians. The four number systems – Sanskrit number, Aryabhatta number, Bhootha Sankya and Katapayaadi number. Progressions, various geometrical parameters connected with area, perimeter, volume of squares, triangles, circles, trapeziums, spheres, cones, cyclic quadrilaterals, polygonals, detailed algebra, quadratic equations, monomial, and binomial theorems etc. hundreds of theorems developed by Aryabhatta, Bhaskara, Sankaranarayana, Sangamagrama Madhavacharya, Puthumana Somayaji, Vateswara, Aryabhatta II, Sankara Varman, Paramewaracharya. The application of ka ta pa yaasi number and Bhootha Sankhya systems made by the above mathematicians. Sine, Cosine, and Tangent, Rsine values and their tables, method of determining these values, angles in degrees and radians, calculations and theorems connected with these values. Relation among radius-arc-chord- circumference-sine-cosine-tangent-angles etc.

Astronomical Parameters:
Various astronomical parameters mentioned in ancient Indian books. The spherical shape, size, diameter, circumference, gravity, declination, rotation speed, revolution, latitude, longitude, parallax in latitude and longitude, earthsine etc. of earth. many mote astronomical parameters described with definition by Vateswaracharya, like co-latitude, prime meridian and its relation with time, sunrise and sunset, eight type of revolutions of planets, visibility of planets, declination, precision equinox, alpha Aeries point, apogee, perigee, solar and lunar eclipse, calculation of eclipse diameter of shadow and movement of shadow, instruments used for time calculation and also for the calculation of various astronomical parameters know as Yanthras.

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