Bhāskara and Piṅgala

The book deals with the Methods of Bhāskara and Piṅgala, the focus being on their relevance today. The Proofs and Concepts are explained and compared with the Current Methods with reference to the following topics: The Application of Rules of Three and Five to similar triangles and Gas Equation PV=RT, pi as a Limit of an Infinite sequence, Radian Measure, Limit as a sum, Bhāskara's Algorithm for manipulating infinitesimals, Geometric proof of dsin(x) = cos(x)dx, Mean value Theorem, Use of Binomial Theorem to find the root of any order, Pythagoras Theorem by Euclid and Bhāskara, Newton's Fluxions and Bhāskara's Algorithm - a comparison, Some ingenious geometrical constructions, Heron's formula as a special case of that of Brahmagupta, Piṅgala's Combinatorial Mathematics, Binary System, Fibonacci Sequence and Pascal's Triangle as an off-shoot of Prosody, Approximations to sine and arcsine and Primitive ideas of Logarithm. The students, teachers, research scholars and lovers of mathematics are entitled to the traditional knowledge which will benefit them and inspire them to do research and produce monumental works. Cover page design depicts Pythagoras theorem at a glance!