William Pitt Durfee

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William Pitt Durfee
Born(1855-02-05)February 5, 1855
DiedDecember 17, 1941(1941-12-17) (aged 86)
NationalityAmerican
Alma mater University of Michigan
Johns Hopkins University
Known for Durfee square
Scientific career
Fields Mathematics
Institutions Hobart and William Smith Colleges
Doctoral advisor James Sylvester

William Pitt Durfee (5 February 1855 – 17 December 1941) was an American mathematician who introduced Durfee squares. He was a student of James Sylvester, and after obtaining his degree in 1883 he became a professor at Hobart college in 1884 and became dean in 1888. Durfee House and Durfee Hall are named in his honor.

In number theory, a Durfee square is an attribute of an integer partition. A partition of n has a Durfee square of side s if s is the largest number such that the partition contains at least s parts with values ≥ s. An equivalent, but more visual, definition is that the Durfee square is the largest square that is contained within a partition's Ferrers diagram. The side-length of the Durfee square is known as the rank of the partition.

James Joseph Sylvester English mathematician

James Joseph Sylvester FRS HFRSE LLD was an English mathematician. He made fundamental contributions to matrix theory, invariant theory, number theory, partition theory, and combinatorics. He played a leadership role in American mathematics in the later half of the 19th century as a professor at the Johns Hopkins University and as founder of the American Journal of Mathematics. At his death, he was professor at Oxford.

Hobart and William Smith Colleges

Hobart and William Smith Colleges are private liberal arts colleges in Geneva, New York. They trace their origins to Geneva Academy established in 1797. The colleges offer the degrees of bachelor of arts, bachelor of science, and master of arts in teaching.

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References

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