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Proof that 22 over 7 exceeds π - Appearance in the Putnam Competition

Proof that 22 over 7 exceeds π - Appearance in the Putnam Competition: Encyclopedia II - Proof that 22 over 7 exceeds π - Appearance in the Putnam Competition

The evaluation of this integral was the first problem in the 1968 Putnam Competition. If it seems trivially routine for a Putnam Competition problem, one may perhaps surmise that its inclusion was motivated by the conjunction of the punch line (summarized by the title of this article) with the fairly nice pattern in the integral itself. Many years earlier, the result was given in D. P. Dalzell, On 22/7, Journal of the London Mathematical Society 19 (1944) 133-134. ...

See also:

Proof that 22 over 7 exceeds π, Proof that 22 over 7 exceeds π - The idea, Proof that 22 over 7 exceeds π - The details, Proof that 22 over 7 exceeds π - Appearance in the Putnam Competition

Proof that 22 over 7 exceeds π, Proof that 22 over 7 exceeds π - Appearance in the Putnam Competition, Proof that 22 over 7 exceeds π - The details, Proof that 22 over 7 exceeds π - The idea, Table of integrals, Table of mathematical symbols

Proof that 22 over 7 exceeds π: Encyclopedia II - Proof that 22 over 7 exceeds π - Appearance in the Putnam Competition



Proof that 22 over 7 exceeds π - Appearance in the Putnam Competition

The evaluation of this integral was the first problem in the 1968 Putnam Competition. If it seems trivially routine for a Putnam Competition problem, one may perhaps surmise that its inclusion was motivated by the conjunction of the punch line (summarized by the title of this article) with the fairly nice pattern in the integral itself.

Many years earlier, the result was given in D. P. Dalzell, On 22/7, Journal of the London Mathematical Society 19 (1944) 133-134.




Adapted from the Wikipedia article "Appearance in the Putnam Competition", under the G.N U Free Docmentation License. Please also see http://en.wikipedia.org/wiki


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