Mathematician:Jesse Douglas
Jump to navigation
Jump to search
Mathematician
American mathematician best known for his general solution to Plateau's Problem.
Fields Medal
Jesse Douglas was awarded a Fields Medal in $\text {1936}$ at the International Congress of Mathematicians in Oslo:
- Did important work on the Plateau problem which is concerned with finding minimal surfaces connecting and determined by some fixed boundary.
Nationality
American
History
- Born: 3 July 1897 New York City, New York, United States
- Died: 7 September 1965 in New York City, New York, United States
Theorems and Definitions
- Petr-Douglas-Neumann Theorem (also known as the PDN-Theorem) (independently of both Karel Petr and Bernhard Hermann Neumann)
Publications
- 1931: Solution of the problem of Plateau (Trans. Amer. Math. Soc. Vol. 33, no. 1: pp. 263 – 321) www.jstor.org/stable/1989472
- 1939: Green's function and the problem of Plateau (Amer. J. Math. Vol. 61, no. 3: pp. 545 – 589) www.jstor.org/stable/2371314
- 1939: The most general form of the problem of Plateau (Amer. J. Math. Vol. 61, no. 3: pp. 590 – 608) www.jstor.org/stable/2371315
- 1939: Solution of the inverse problem of the calculus of variations (Proc. Natl. Acad. Sci. U S A Vol. 25, no. 12: pp. 631 – 637)
- 1940: A new special form of the linear element of a surface (Trans. Amer. Math. Soc. Vol. 48: pp. 101 – 116)
- 1940: On linear polygon transformations (Bull. Amer. Math. Soc. Vol. 46, no. 6: pp. 551 – 561)