Arthur Sard
#45,826
Most Influential Person Across History
American mathematician
Arthur Sard's AcademicInfluence.com Rankings
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Mathematics
Arthur Sard's Degrees
- PhD Mathematics Princeton University
Why Is Arthur Sard Influential?
(Suggest an Edit or Addition)According to Wikipedia, Arthur Sard was an American mathematician, famous for his work in differential topology and in spline interpolation. His fame stems primarily from Sard's theorem, which says that the set of critical valuess of a differential function which has sufficiently many derivatives has measure zero.
Arthur Sard's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- The measure of the critical values of differentiable maps (1942) (505)
- Best Approximate Integration Formulas; Best Approximation Formulas (1949) (186)
- Best Approximate Integration Formulas (1950) (80)
- Hausdorff Measure of Critical Images on Banach Manifolds (1965) (59)
- Images of Critical Sets (1958) (52)
- Hausdorff Conullity of Critical Images of Fredholm Maps (1972) (35)
- Integral representations of remainders (1948) (34)
- A book of splines (1971) (33)
- Optimal approximation: an addendum (1968) (23)
- Approximation based on nonscalar observations (1973) (20)
- The equivalence of $n$-measure and Lebesgue measure in $E_n$ (1943) (20)
- Approximation and variance (1952) (18)
- Approximation and Projection (1956) (11)
- Smoothest Approximation Formulas (1949) (9)
- A View of Mathematics (1982) (8)
- Remainders as integrals of partial derivatives (1952) (8)
- Approximation and probability (1976) (7)
- Remainders: Functions of several variables (1951) (6)
- Some Statistical Considerations on Coincidence Counting (1949) (4)
- A theory of cotypes (1969) (2)
- Function spaces for analysis (1976) (2)
- NEW FUNCTION SPACES AND THEIR ADJOINTS† (1960) (2)
- The remainder in approximations by moving averages (1948) (1)
- On optimal approximation (1976) (1)
- A Theorem on Improper Integrals (1942) (0)
- Factors of operators (1963) (0)
- Minimal response to error (1963) (0)
- Efficient and strongly efficient approximation (1963) (0)
- Stieltjes integrals, integration by parts, functions of bounded variation (1963) (0)
- Linear continuous functionals on _ (1963) (0)
- Taylor's formula for maps: the reverse problem (1977) (0)
- Discussions and Notes (1942) (0)
- Iterated and Double Limits (1938) (0)
- Integrating Terms for Inexact Differentials (1980) (0)
- The step functions and (1963) (0)
- Functions of variables (1963) (0)
- Functionals in terms of derivatives (1963) (0)
- Functionals in terms of partial derivatives (1963) (0)
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