Functions." The paper was praised by the distinguished British mathematician and Fellow of the Royal Society Arthur Cayley as a contribution of "outstanding merit." Mukherjee was recognised for his achievements by the grant of the Premchand Roychand Fellowship in Mathematics and Physics, Pure and Applied. Still only aged 22, he was further recognised by his election as a Fellow of the Royal Society of Edinburgh (FRSE). By 1888, Mukherjee was a lecturer in mathematics for the recently established Indian Association for the Cultivation of Science (IACS). Mukherjee continued publishing scholarly papers on mathematics and physics into his 30s. By 1893, aged 29, Mukherjee had been further elected to the fellowships of the Physical Society of France and the Mathematical Society of Palermo, and was a member of the Royal Irish Academy. He subsequently became a member of the London Mathematical Society, the Paris Mathematical Society and the American Mathematical Society (1900). Although after 1893 he largely abandoned his mathematical pursuits for a legal career, Mukherjee has been recognised as the first modern Indian mathematician to enter the field of mathematical research, and founded the Calcutta Mathematical Society in 1908. Among his mathematical contributions, Mukherjee determined several crucial derivations of Gaspare Mainardi's answer to determining the oblique trajectory of a system of confocal ellipses. He also made lasting contributions in differential geometry, developing analytical methods of simplifying Gaspard Monge's interpretation of his general differential equation for conics. Lawyer, jurist and educationist At the age of 24, Mukherjee became a Fellow of the Calcutta University. Turning down a job offer in the Department of Public Instruction in order to complete his Bachelor of Law degree, he received his degree in 1888 and enrolled as a vakil of the Calcutta High Court. By 1897, he had received an LL.D. and was appointed the Tagore Professor of Law of the Calcutta University in that year. In 1904, he was appointed a puisne judge of the High Court, and subsequently served as its acting Chief Justice for a couple of years. Mukherjee was influential in the University affairs throughout his life. From the age of 25, he was a member of its Syndicate, serving on the University Senate and Syndicate for the next 16 years. He served as President of the Board of Studies in Mathematics for 11 years, and represented his university in the Bengal Legislative Council from 1899 to 1903. He was appointed