Louis Lazarus Silverman (21 April 1884 – 17 October 1967) was an American mathematician, the first person to receive a Ph.D. in mathematics from an academic institution in the state of Missouri.
[Zitarelli, Davi]
"Hilbert in Missouri."
Mathematics Magazine 84, no. 5 (2011): 351–364.
Born in a village in Lithuania, Silverman moved with his parents to the United States when he was eight years old. He received his B.A. and M.A. in mathematics from
Harvard University
Harvard University is a private Ivy League research university in Cambridge, Massachusetts. Founded in 1636 as Harvard College and named for its first benefactor, the Puritan clergyman John Harvard, it is the oldest institution of high ...
and then his Ph.D. from the University of Missouri in 1910.
From 1910 to 1918 he was a faculty member in the department of mathematics at
Cornell University
Cornell University is a private statutory land-grant research university based in Ithaca, New York. It is a member of the Ivy League. Founded in 1865 by Ezra Cornell and Andrew Dickson White, Cornell was founded with the intention to tea ...
, where he worked with
Wallie Abraham Hurwitz
Wallie Abraham Hurwitz (February 18, 1886 in Joplin, Missouri – January 6, 1958 in Ithaca, New York) was an American mathematician who worked on analysis.
Hurwitz graduated from the University of Missouri with a bachelor's degree and then went ...
on divergent series and summability methods.
From 1918 to 1953, Silverman was a professor of mathematics at
Dartmouth College
Dartmouth College (; ) is a private research university in Hanover, New Hampshire. Established in 1769 by Eleazar Wheelock, it is one of the nine colonial colleges chartered before the American Revolution. Although founded to educate Native ...
, where he retired as professor emeritus.
[ He also taught at Tel Aviv University (where he gave lectures in Hebrew), the University of Houston, and South Texas College.][
He was an Invited Speaker of the ICM in 1928 in Bologna.][
Silverman was an amateur violinist, and his son, Raphael Hillyer Silverman, became a famous viola soloist.
]
Selected publications
On the definition of the sum of a divergent series.
Vol. 1, no. 1. University of Missouri, 1913.
*"The equivalence of certain regular transformations." Transactions of the American Mathematical Society 26 (1924): 101–112.
*with J. D. Tamarkin: "On the generalization of Abel's theorem for certain definitions of summability." Mathematische Zeitschrift 29, no. 1 (1929): 161–170.
*"Products of Nörlund transformations." Bulletin of the American Mathematical Society 43, no. 2 (1937): 95–101.
*with Otto Szasz: "On a class of Norlund matrices." Annals of Mathematics (1944): 347–357.
See also
* Silverman–Toeplitz theorem
References
{{DEFAULTSORT:Silverman, Louis Lazarus
1884 births
1967 deaths
Harvard University alumni
University of Missouri alumni
University of Missouri mathematicians
Cornell University faculty
Dartmouth College faculty
20th-century American mathematicians