The following examples are of special interest:
Solve for x: 3(x.0+(x/2),0)/063.
Formulac for the sum of integers, their square, cubes and higher powers.
To determine 2 numbers, given any two of the following seven: their product, sum, difference, sum of their squares, differences of their squares, sum of their cubes and the differences cubes.
One of them, a tough one at that, is to find a and b given their difference and sum of their cubes.
In the second part: Ideas of radian measure as a measure in terms of radius, differentials, cosine rule, construction of a rectangle equal to the area of a cyclic quadrilateral using cut and paste meth-ods. Giving 4 sides an ingenious method to con-struct 3 cyclic quadrilaterals inscribable in a circle, use of second degree indeterminate equa-tions to generate integral right angled triangles, as a special case of Pell's equation.
Some interesting methods involving both geometry and algebra to demonstrate' Sulva-sutram (Pythagoras theorem) are compared with Euclid's method Arithmetic and geometric series, permutations, problem on partition of numbers (a favourite subject of Srinivasa Ramanujan).
Demonstration of proofs as given in the Buddhivilāsinī are explained along with Sanskrit text and are compared with modern methods, where ever possible.
He presented a paper on The Relevance of Bhaskara's Methods in the Present Con-text at the International Congress of Mathematicians (ICM), at Hyderabad, India (August 2010).
This was published (2011) in extended form of a monograph entitled Bhāskara and Pińgala - Relevance of their Mathematics in the present context. by Lambert Academic Publishing, Germany.
Earlier he worked in the Physics Depts of Voorhee's College, Vellore (T.Ν.) (1951-53) and Govt. Arts and Science College, Kadapa (Α.Ρ.) (1953-56) and worked as a Research Assistant in the Bihar Institute of Hydraulics and Allied Research, Khagaul, Patna (1959-61), and was a professor of Mathematics in Mudhoji College, Phaltan (Maharastra) (1961-64). He was the Principal of Hira-chand Nemchand College of Commerce (1972-73), Solapur.
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