ⓘ Jesse Douglas

                                     

ⓘ Jesse Douglas

Jesse Douglas was an American mathematician and Fields Medalist known for his general solution of the Problem of Plateau.

                                     

1. Life and career

He was born to a Jewish family in New York City, the son of Sarah nee Kommel and Louis Douglas. He attended City College of New York as an undergraduate, graduating with honors in Mathematics in 1916. He then moved to Columbia University as a graduate student, obtaining a PhD in mathematics in 1920.

Douglas was one of two winners of the first Fields Medals, awarded in 1936. He was honored for solving, in 1930, the problem of Plateau, which asks whether a minimal surface exists for a given boundary. The problem, open since 1760 when Lagrange raised it, is part of the calculus of variations and is also known as the soap bubble problem. Douglas also made significant contributions to the inverse problem of the calculus of variations. The American Mathematical Society awarded him the Bocher Memorial Prize in 1943.

Douglas later became a full professor at the City College of New York CCNY, where he taught until his death. At the time CCNY only offered undergraduate degrees and Professor Douglas taught the advanced calculus course. Sophomores and freshmen with advanced placement were privileged to get their introduction to real analysis from a Fields medalist.

                                     

2. Selected papers

  • Douglas, Jesse 1939. "Solution of the inverse problem of the calculus of variations". Proceedings of the National Academy of Sciences. 25 12: 631–637. Bibcode:1939PNAS.25.631D. doi:10.1073/pnas.25.12.631. PMC 1077987. PMID 16588312.
  • Douglas, Jesse 1939. "The most general form of the problem of Plateau". American Journal of Mathematics. 61 3: 590–608. doi:10.2307/2371315. JSTOR 2371315. PMC 1077112. PMID 16588238.
  • Douglas, Jesse 1940. "A new special form of the linear element of a surface". Trans. Amer. Math. Soc. 48: 101–116. doi:10.1090/s0002-9947-1940-0002242-2. MR 0002242.
  • Douglas, Jesse 1931. "Solution of the problem of Plateau". Trans. Amer. Math. Soc. 33 1: 263–321. doi:10.2307/1989472. JSTOR 1989472.
  • Douglas, Jesse 1939. "Greens function and the problem of Plateau". American Journal of Mathematics. 61 3: 545–589. doi:10.2307/2371314. JSTOR 2371314. PMC 1077111. PMID 16588237.