Franz Woepcke (May 6, 1826, Dessau – March 25, 1864) was a German Orientalist and mathematician. Woepcke is remembered for edition of numerous Arabic mathematical manuscripts.
He studied mathematics at the University of Berlin, gaining his doctorate in 1847. Under the tutelage of archaeologist Ernst Heinrich Tölken (1786–1869) he penned his dissertation involving sundials of antiquity (Archaeologico-mathematicae circa solaria veterum). Afterwards he studied Arabic at the University of Bonn, where in 1850 he received his habilitation.
Woepcke spent much of his subsequent career studying and working outside of Germany, particularly in Paris. In 1856 he returned to Berlin and taught French classes until 1858. He died in Paris on March 25, 1864 at the age of 37.
Among his better known works were an edition of Omar Khayyám (L'algèbre d'Omar Alkhayyami, publiée, traduite et accompagnée d'extraits des manuscrits inédits, 1851) and an edition of Fakhri Muhammad Alkarkhî (Extrait du Fakhrî, traité d'algèbre par Mohammed Alkarkbi, précédé d'un mémoire sur l'algèbre indéterminée chez les Arabes, 1853). He was also author of several essays concerning relations between Italian mathematician Leonardo Pisano and the Arabs (1856–61).