数学クラシックス 第30巻 ラマヌジャン その生涯と業績に想起された主題による十二の講義

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発行日： 2016-09-10
分野： 基礎・関連科学  >  基礎医学関連科学一般
ISBN： 9784621065297
電子書籍版： 2016-09-10
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ラマヌジャンの師ハーディによる評論。ラマヌジャンは近代ヨーロッパ数学に関して正統的な教育を受けていなかったにもかかわらず、ほとんど独力でヨーロッパ数学に立ち向かった。彼の独特な才能は今なお我々を感動させるだろう。

目次

  • 表紙
  • 目次
  • 序文
  • 第4版 序文
  • 講義I インド人数学者Ramanujan
  • 講義II Ramanujanと素数の理論
  • 講義III 滑らかな数
  • 講義IV 解析的数論のさらなるいくつかの問題
  • 講義V 格子点問題
  • 講義VI 分割数に関するRamanujanの業績
  • 講義VII 超幾何級数
  • 講義VIII 分割数の漸近的理論
  • 講義IX 数を平方数の和として表すこと
  • 講義X Ramanujanの関数T ( n )
  • 講義XI 定積分
  • 講義XII 楕円およびモジュラー関数
  • 参考文献
  • G. H. Hardy著 "Ramanujan" についての注釈
  • 訳者後書
  • 索引
  • 奥付

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参考文献

P.351 掲載の参考文献
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G. H. Hardy著 "Ramanujan" についての注釈

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