Edward J. McShane, an American mathematician who significantly advanced the calculus of variations, stochastic calculus, and exterior ballistics, spent thirty-nine years at the University of Virginia. Born in New Orleans in 1904, he established a career that spanned academic research, institutional leadership, and practical applications in ballistics before his death in Charlottesville in 1989.
Academic Foundations and Early Career
McShane completed his undergraduate studies at Tulane University, where he earned degrees in engineering and science by 1925, followed by a Master of Science in 1927. He pursued doctoral studies at the University of Chicago between 1927 and 1930. Early in his professional trajectory, he held a teaching position at Wichita State University from 1928 to 1929. Subsequently, he served on the faculty at Princeton University from 1933 until 1935, a period during which he began publishing his findings on functional analysis and saddle surfaces.
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Throughout his long tenure at the University of Virginia, starting in 1935 and concluding with his retirement in 1974, McShane focused on integration theory and analysis. His work gained broad recognition in the field, evidenced by the McShane–Whitney extension theorem and the development of the McShane integral. Beyond pure mathematics, he contributed to the application of science at the Aberdeen Proving Ground from 1942 to 1945, co-authoring a book on exterior ballistics in 1953.
Professional Service and Recognition
McShane held significant leadership roles, serving as chairperson at the University of Virginia from 1953 to 1954 and again from 1959 to 1960. He was president of the American Mathematical Society and the Mathematical Association of America, and he served on the National Science Board. His contributions were formally acknowledged through the Chauvenet Prize in 1953 and a Guggenheim Fellowship in 1955. He was an active member of the National Academy of Sciences and the American Philosophical Society.
Fast facts
- Born: 1904, New Orleans
- Died: 1989, Charlottesville
- Citizenship: United States
- Education: Tulane University, University of Chicago
- Chauvenet Prize recipient: 1953
- Notable work: Exterior ballistics (1953)
- Professional affiliations: National Academy of Sciences, American Philosophical Society
- Burial site: University of Virginia Cemetery and Columbarium
Questions readers ask
What were the primary fields of research for Edward J. McShane?
He specialized in integral calculus, the calculus of variations, stochastic calculus, and exterior ballistics.
Where did Edward J. McShane spend the majority of his academic career?
He was a faculty member at the University of Virginia for 39 years, teaching there from 1935 until his retirement in 1974.
Achievements
- Chauvenet Prize — 1953
- Held posts at University of Virginia, Wichita State University and Aberdeen Proving Ground
- Fields: mathematics, integral calculus and external ballistics
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