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Elementary proof (view source)

Revision as of 04:38, December 26, 2006

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Mathematicians also consider elementary techniques to include objects, operations, and relations.  Sets, sequences and geometry are not included.
 
Mathematicians also consider elementary techniques to include objects, operations, and relations.  Sets, sequences and geometry are not included.
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The prime number theorem has long been proven using non-elementary techniques, but in 1949 and 1950 an elementary proof by [[Paul Erdos]] and [[Atle Selberg]] earned Selberg the highest prize in math, the Fields medal.
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The prime number theorem has long been proven using complex analysis (Riemann's zeta function), but in 1949 and 1950 an elementary proof by [[Paul Erdos]] and [[Atle Selberg]] earned Selberg the highest prize in math, the Fields medal.
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