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Anglický jazyk
Proof that 22/7 Exceeds ¿
Autor: Lambert M. Surhone
High Quality Content by WIKIPEDIA articles! Proofs of the famous mathematical result that the rational number 22/7 is greater than p date back to antiquity. What follows is a one-line modern mathematical proof that 22/7 p, requiring only elementary techniques... Viac o knihe
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O knihe
High Quality Content by WIKIPEDIA articles! Proofs of the famous mathematical result that the rational number 22/7 is greater than p date back to antiquity. What follows is a one-line modern mathematical proof that 22/7 p, requiring only elementary techniques from calculus. The purpose is not primarily to convince the reader that 22/7 is indeed bigger than p; systematic methods of computing the value of p exist. Unlike some elementary proofs, the calculus-based proof presented here is straightforward; its elegance results from its connections to the theory of diophantine approximations. Stephen Lucas calls this proposition 'One of the more beautiful results related to approximating p'. Julian Havil ends a discussion of continued fraction approximations of p with the result, describing it as 'impossible to resist mentioning' in that context. If one knows that p is approximately 3.14159, then it trivially follows that p 22/7. But it takes much less work to show that p 22/7 than to show that p is approximately 3.14159.
- Vydavateľstvo: OmniScriptum
- Rok vydania: 2026
- Formát: Paperback
- Rozmer: 220 x 150 mm
- Jazyk: Anglický jazyk
- ISBN: 9786130344160
