The first Indian to earn a PhD in mathematics was Srinivasa Ramanujan. Ramanujan was a self-taught mathematician who made significant contributions to number theory, infinite series, and continued fractions. He obtained his PhD from the University of Cambridge in 1916 under the guidance of the renowned mathematician G.H. Hardy. Ramanujan's work continues to influence mathematics to this day.
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Suzan Rose Benedict was an educator. She was the first woman to receive a PhD in mathematics from the Univesity of Michigan, in 1914, and until 1942, when she died, she taught mathematics at Smith College. She largely confined her studies to the history of mathematics and mathematicians.
Clara Bacon obtained her PhD in mathematics in 1911 from Johns Hopkins University. The topic was The Cartesian Oval and the Elliptic Functions Rho and Sigma and her thesis advisor was Frank Morley. She was the first woman to get a PhD in mathematics from Johns Hopkins. She went on to teach math and was active in MAA. She published several papers as well.
The subject mathematics needs focus, problem solving ability for which a researcher needs to invest their time. So, they must find a selective PhD topic in mathematics that helps them bring original ideas and research. Below are a few PhD topic in mathematics subject. If you are looking for the best ideas to help, then these topics will give you a better vision. An illustration of mean, mode, and median. Mathematical definitions of infinity and how to calculate it. Real-life applications of the Pythagorean Theorem.
Albert Einstein received a teaching diploma (in Mathematics and Physics) from Zurich Polytechnic. He then gained a PhD from the University of Zurich. His dissertation was entitled "A New Determination of Molecular Dimensions".