Arthur Sard, born in New York City on 28 July 1909 and died in Basel on 31 August 1980, was an American mathematician known for his work in differential topology and in spline interpolation. He studied at Harvard University, taking his bachelor's degree in 1931, his master's in 1932 and his doctorate in 1936 under Marston Morse with a thesis on the measure of the critical values of functions. He was among the first faculty of Queens College, where he taught from 1937 to 1970, and during the Second World War he worked with the Applied Mathematics Group at Columbia University on fire control for bomber guns. His fame rests chiefly on Sard's theorem, which says that the set of critical values of a sufficiently differentiable function has measure zero. He published nearly forty research articles and two monographs, Linear Approximation in 1963 and, with Sol Weintraub, A Book of Splines in 1971.
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In Branch
Source Arthur Sard (Wikipedia)
Source Arthur Sard (Wikipedia)
Mentored By
Source Arthur Sard (Wikipedia)
Principal Result
Source Arthur Sard (Wikipedia)
Proofs Credited
Source Sard's Theorem (Wikipedia)
In the Other Atlases
Nationality
Also in Geography Atlas: the nationality of this subject.
Source Arthur Sard (Wikipedia)Lead, nationalityQuote, Lead, nationality
Arthur Sard (28 July 1909, New York City – 31 August 1980, Basel) was an American mathematician, famous for his work in differential topology and in spline interpolation.
Sources
1. Arthur Sard (Wikipedia)
Lead, birth
Arthur Sard (28 July 1909, New York City, 31 August 1980, Basel) was an American mathematician, famous for his work in differential topology and in spline interpolation.
Life and career
Arthur Sard was born and grew up in New York City and spent most of his adult life there.
Lead, nationality
Arthur Sard (28 July 1909, New York City, 31 August 1980, Basel) was an American mathematician, famous for his work in differential topology and in spline interpolation.
In Branch: Differential Topology, Lead, differential topology
Arthur Sard (28 July 1909, New York City, 31 August 1980, Basel) was an American mathematician, famous for his work in differential topology and in spline interpolation.
In Branch: Approximation Theory, Lead, spline interpolation
Arthur Sard (28 July 1909, New York City, 31 August 1980, Basel) was an American mathematician, famous for his work in differential topology and in spline interpolation.
Principal Result: Sard's Theorem, Lead, Sards theorem
His fame stems primarily from Sard's theorem, which says that the set of critical values of a differential function which has sufficiently many derivatives has measure zero.
Mentored By: Marston Morse, Life and career, PhD
and in 1936 his PhD under the direction of Marston Morse
View the SourceSard's Theorem (Wikipedia)
Wikimedia FoundationProofs Credited: Sard's Theorem, Lead sentenceQuote, Proofs Credited: Sard's Theorem, Lead sentence
The theorem is named for Anthony Morse and Arthur Sard.
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