Carl Friedrich Hindenburg

Carl Friedrich Hindenburg (13 July 1741 – 17 March 1808) was a German mathematician born in Dresden. His work centered mostly on combinatorics and probability.

Hindenburg did not attend school but was educated at home by a private tutor as arranged by his merchant father. He went to the University of Leipzig in 1757 and took courses in medicine, philosophy, Latin, Greek, physics, mathematics, and aesthetics. Hindenberg later published on philology in 1763 and 1769.

Hindenberg was mentored by Christian Fürchtegott Gellert, a popular lecturer in Leipzig who introduced Hindenberg to a student named Schönborn. Schönborn's interest in mathematics influenced Hindenburg to go into the field as well. He obtained a master's degree from the University of Leipzig in 1771 and was made Privatdozent in the same year. Hindenberg's first published mathematical publication, Beschreibung einer ganz neuen art, nach einem bekannten Gesetze fortgehende Zahlen durch Abzahlen oder Abmessen bequem und sicher zu finden, originated as a project to extend then-existing prime tables up to 5 million. In the book, he mechanically realizes, independent of the work done by Felkel, the sieve of Eratosthenes, which he then proceeds with rules to both optimize and organize. The book also contained results in linear diophantine analysis, decimal periods, combinations, and gave combinatorial significance to the digits of numbers written in decimal notation.

In 1778, he started publishing a series of works on combinatorics, particularly on probability, series and formulae for higher differentials. He worked on a generalization of the binomial theorem and was a major influence in Gudermann's work on the expansion of functions into power series.

In 1781, Hindenburg was appointed as professor of philosophy in the University of Leipzig. He would be appointed professor of physics in 1786 after presenting a dissertation on water pumps. Hindenburg served as academic dean at the University of Leipzig, where he was also Rector in 1792. He became a member of the Berlin Academy of Sciences on 5 August 1806.

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