Edward James McShane (May 10, 1904 – June 1, 1989) was an American mathematician noted for his advancements of the calculus of variations, integration theory, stochastic calculus, and exterior ballistics.[2] [3][4][5] His name is associated with the McShane–Whitney extension theorem.[6] McShane was professor of mathematics at the University of Virginia,[2][4] president of the American Mathematical Society,[2][3][5] president of the Mathematical Association of America,[5] a member of the National Science Board[5] and a member of the National Academy of Sciences.[2][3][5]