Beschreibung
The book deals with the Methods of Bhaskara and Pingala, 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, Bhaskara'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 Bhaskara, Newton's Fluxions and Bhaskara's Algorithm - a comparison, Some ingenious geometrical constructions, Heron's formula as a special case of that of Brahmagupta, Pingala'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!
Autorenporträt
The author, 81 years old, from Anantapur, is a B.Sc.(Physics), Univ of Madras, M.Sc.(Mathematics), Univ of Poona, Ph.D Shivaji Univ. He worked as professor of Mathematics and retired as Dean, Walchand college, Solapur. He has published several Research Papers and Text Books on Mathematics. He is currently working on translating Lilavati.
