Contributions of Srinivasa Ramanujan and Satyendra Nath Bose to Mathematics
Born in 1887, Srinivasa Ramanujan is among the most renowned Indian mathematicians. The mathematical genius that Ramanujan was, he started showing signs of his genius at the tender age of 10. Contrary to the mathematicians of his time, his discoveries were not influenced by the developments in Europe.
Some of the leading contributions of Ramanujan to mathematics include the Mock Theta Functions, the Landau-Ramanujan Constant, Ramanujan Conjecture, Ramanujan-Soldner Constant, Ramanujan’s Master Theorem and Sum, Ramanujan Prime, and Rogers-Ramanujan Identities.
He made significant contributions to analytical theory of numbers. His work on divergent series comprised of sending 120 theorems on the imply divisibility properties of partition function. It was Ramanujan who gave meaning to the Eulerian second integral for the values of n. The young mathematician was able to prove that the integral of xn-1 e-7 was equal to i for all the values of i.
Ramanujan also contributed to the partition of whole numbers by developing a formula for partition of any number. He also studied the composite numbers or the opposite of prime numbers. He contributed by studying and simplifying their structure, special forms and distribution. His other contributions were around the Fermat Theorem, the Ramanujan Number 1729, Cubic Equations, Quadratic Equation, and the Hypo Geometric Series.
Satyendra Nath Bose
Satyendra Nath Bose of the “Higgs Boson particle” or “God Particle” fame is one of the most well-known mathematicians and physicist India has given to the world. The scientist is also known for his work, the Bose-Einstein Condensate.
Bose made two crucial contributions to mathematical physics. One was on Horpolhod and the other was on the Stress Equation of Equilibrium. It was Einstein himself who, on the request of Bose translated his paper, “Planck’s Law & Hypothesis of Light Quanta” and got it published in the reputed Zeitschrift fur Physik in 1924. Bose also demonstrated how the contemporary theory on radiation and the UV catastrophe were inadequate.