The 80th William Lowell Putnam Mathematical Competition took place on December 7, 2019. There were 4229 undergraduates who participated in the competition at 570 institutions across the United Stat...
The 80th William Lowell Putnam Mathematical Competition took place on December 7, 2019. There were 4229 undergraduates who participated in the competition at 570 institutions across the United Stat...
The 79th William Lowell Putnam Mathematical Competition took place on December 1, 2018. There were 4,623 undergraduates who participated in the competition at 568 institutions across the United States and Canada, with teams from 403 of these institutions.The competition is held annually, on the first Saturday of December, under the auspices of the Mathematical Association of America. It is supported by the William Lowell Putnam Prize Fund for the Promotion of Scholarship, an endowment established by Elizabeth Lowell Putnam in 1927 in memory of her husband.The Problems Committee for the 79th competition consisted of Harm Derksen (chair), University of Michigan; Ioana Dumitriu, University of Washington; and Robin Pemantle, University of Pennsylvania.
4. Polyhedral and Algebraic Methods in Computational Geometry, by Michael Joswig and Thorsten Theobald. Reviewed by Brittany Terese Fasy and David L. Millman. This book treats a wide array of topics, beginning from the basics (e.g., convex hulls) and proceeding through the fundamental tools of computational algebraic geometry (e.g., Gröbner bases), and containing a section on applications as well.
2. The Wohascum County Board of Commissioners, which has 20 members, recently had to elect a President. There were three candidates (A, B, and C); on each ballot the three candidates were to be listed in order of preference, with no abstentions. It was found that 11 members, a majority, preferred A over B (thus the other 9 preferred B over A). Similarly, it was found that 12 members preferred C over A. Given these results, it was suggested that B should withdraw, to enable a runoff election between A and C. However, B protested, and it was then found that 14 members preferred B over C! The Board has not yet recovered from the resulting confusion. Given that every possible order of A, B, C appeared on at least one ballot, how many board members voted for B as their first choice? (p. 46)
The following results of the fifty-third William Lowell Putnam Mathematical Competition, held on December 5, 1992, have been determined in accordance with the governing regulations. This annual contest is supported by the William Lowell Putnam Prize Fund for the Promotion of Scholarship, left by Mrs. Putnam in memory of her husband, and is held under the auspices of the Mathematical Association of America.
