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円周率の最初の百万桁
Paperback
Series: 子どものための算数の本
Publisher Price: $19.95
ISBN13: 9781632709752
Publisher: Life Is a Story Problem LLC
Published: Dec 26 2025
Pages: 270
Weight: 0.80
Height: 0.57 Width: 6.00 Depth: 9.00
Language: Japanese
円周率「π」（円の円周と直径の比）は、何千年も前からその存在が知られています。紀元前の時代ですら、古代の数学者たちは π\pi の近似値として、小数第二位まで正確な値（3.1）を見つけていました。バビロニア人は、「π」の近似値として 25/8 を使用していました。古代エジプト人は、(16/9)2 を「π」の近似値として用いていました。
次に、「π」の近似を改良したのは中国の数学者たちです。彼らの近似値は小数第七位（3.141592）まで正確でした。
ギリシャでは、アルキメデスが円の外側と内側に多角形を描く方法を用い、π\pi を小数第三位（3.14）まで求めました。
最終的に、無限級数の概念が発展することで、紙とペンを使って時間の許す限り多くの桁数まで π\pi を計算できるようになりました。しかし、コンピューターが登場するまでは、100万桁の計算は実用的ではありませんでした。本書では、その結果を掲載しています。
「数学の中で、円周率ほど神秘的で、ロマンに満ち、誤解を招き、そして人々の関心を引く記号はおそらくないでしょう。」
- ウィリアム・L・シャーフ『円周率の本質と歴史』
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