June 24, 1880|
Decorah, Iowa, U.S.
|Died||August 10, 1960
Brooklin, Maine, U.S.
Institute for Advanced Study
|Alma mater||University of Iowa,
University of Chicago
|Thesis||A System of Axioms for Geometry (1903)|
|Doctoral advisor||E. H. Moore|
|Doctoral students||J. W. Alexander
H. Roy Brahana
Howard H. Mitchell
Robert Lee Moore
J. H. C. Whitehead
Oswald Veblen (June 24, 1880 – August 10, 1960) was an American mathematician, geometer and topologist, whose work found application in atomic physics and the theory of relativity. He proved the Jordan curve theorem in 1905.
Veblen was born in Decorah, Iowa. He went to school in Iowa City. He did his undergraduate studies at the University of Iowa, where he received an A.B. in 1898, and Harvard University, where he was awarded a second B.A. in 1900. For his graduate studies, he went to study mathematics at the University of Chicago, where he obtained a Ph.D. in 1903. His dissertation, A System of Axioms for Geometry was written under the supervision of E. H. Moore.
Veblen taught mathematics at Princeton University from 1905 to 1932. In 1926, he was named Henry B. Fine Professor of Mathematics. In 1932, he helped organize the Institute for Advanced Study in Princeton, resigning his professorship to become the first professor at the Institute that same year. He kept his professorship at the Institute until he was made emeritus in 1950.
Veblen died in Brooklin, Maine, in 1960 at age 80. After his death the American Mathematical Society created an award in his name, called the Oswald Veblen Prize in Geometry. It is awarded every three years, and is the most prestigious award in recognition of outstanding research in geometry.
During his career, Veblen made important contributions in topology and in projective and differential geometries, including results important in modern physics. He introduced the Veblen axioms for projective geometry and proved the Veblen–Young theorem. He introduced the Veblen functions of ordinals and used an extension of them to define the small and large Veblen ordinals. In World War II he was involved in overseeing ballistics work at the Aberdeen Proving Grounds that involved early modern computing machines, in particular supporting the proposal for creation of the pioneering ENIAC electronic digital computer. He also published a paper in 1912 on the four-color conjecture.
Veblen's uncle was Thorstein Veblen, noted economist and sociologist. Oswald Veblen's parents were Andrew Anderson Veblen and Kirsti Hougen.
Books by O. Veblen 
- Introduction to infinitesimal analysis; functions of one real variable with N. J. Lennes (John Wiley & Sons, 1907)
- Projective geometry with John Wesley Young (Ginn and Co., Vol. 1, 1910; Vol. 2, 1918)
- Analysis Situs (American Mathematical Society, 1922; 2nd edn. 1931)
- Invariants of Quadratic Differential Forms (Cambridge University Press, 1927)
- The Foundations of Differential Geometry with J. H. C. Whitehead (Cambridge University Press, 1932)
- Projektive Relativitätstheorie (Springer Verlag, 1933)
- Mac Lane, Saunders (1964). "Oswald Veblen June 24, 1880—August 10, 1960". Biographical Memoirs of the Natl Acad Sci U S A. Washington, D.C.
- Mac Lane (1964), pg 333.
- "ARL Computing History"
- "The History of Computing at BRL", [Mike Muuss]
- Pierpont, James (1908). "Review: Introduction to infinitesmal analysis, functions of one real variable". Bull. Amer. Math. Soc. 15 (3): 133–134.
- Coolidge, Julian Lowell (1911). "Review: Projective Geometry, Vol. 1". Bull. Amer. Math. Soc. 18 (2): 70–81.
- Moore, R. L. (1920). "Review: Projective Geometry, Vol. 2". Bull. Amer. Math. Soc. 26 (9): 412–425.
- Lefschetz, S. (1924). "Review: Analysis Situs, by O. Veblen". Bull. Amer. Math. Soc. 30 (7): 357–358.
- Taylor, J. H. (1929). "Review: Invariants of Quadratic Differential Forms, by O. Veblen". Bull. Amer. Math. Soc. 35 (3): 416.
- MacDuffee, C. C. (1933). "Review: The Foundations of Differential Geometry, by O. Veblen and J. H. C. Whitehead". Bull. Amer. Math. Soc. 39 (5): 322–324.
- Struik, D. J. (1934). "Review: Projektive Relativitätstheorie, by O. Veblen". Bull. Amer. Math. Soc. 40 (3): 191–193.
|Wikiquote has a collection of quotations related to: Oswald Veblen|
- Oswald Veblen at the Mathematics Genealogy Project
- O'Connor, John J.; Robertson, Edmund F., "Oswald Veblen", MacTutor History of Mathematics archive, University of St Andrews.
- Obituary and Bibliography of Oswald Veblen (also available here)
- Works by Oswald Veblen at Project Gutenberg
- Steve Batterson, The Vision, Insight, and Influence of Oswald Veblen, Notices of the American Mathematical Society, vol. 54, no. 5 (May 2007)
- "Projective relativity theory," transl. by D. H. Delphenich