Green's theorem
It is named after George Green, who stated a similar result in an 1828 paper titled "An Essay on the Application of Mathematical Analysis to the Theories of Electricity and Magnetism". In 1846, Augustin-Louis Cauchy published a paper stating Green's theorem as the penultimate sentence. This is in fact the first printed version of Green's theorem in the form appearing in modern textbooks. Bernhard Riemann gave the first proof of Green's theorem in his doctoral dissertation on the theory of functions of a complex variable.