The St. Petersburg school of number theory
著者
書誌事項
The St. Petersburg school of number theory
(History of mathematics, vol. 26)
American Mathematical Society, c2005
- タイトル別名
-
Петербургская школа теории чисел
The saint Petersburg school of number theory
Peterburgskaia shkola teorii chisel
大学図書館所蔵 全22件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
Includes bibliographical references
内容説明・目次
内容説明
For over two centuries, the work of the St. Petersburg mathematicians in number theory has constituted a glorious contribution to mathematics. The Russian book, ""The St. Petersburg School of Number Theory"", is about the life and work of prominent members of this school, such as Chebyshev, Korkin, Zolotarev, Markov, Voronoi, and Vinogradov. These mathematicians are indeed a very distinguished group. Their work in number theory is of the highest quality and continues to have lasting significance.This English translation acquaints the reader with the most important works of these six eminent members of the St. Petersburg school. A short biography is given for each of them, followed by an exposition of some of his most significant contributions. Each contribution features the author's original terminology and notation and is followed by commentary. Certain works receive relatively complete expositions, while others are dealt with more briefly. With a Foreword written for the English edition, this volume will appeal to a broad mathematical audience, including mathematical historians. It is particularly suitable for graduate students and researchers interested in number theory.
目次
Pafnutii L'vovich Chebyshev (1821-1894): Pafnutii L'vovich Chebyshev Chebyshev's articles on the prime numbers Aleksandr Nikolaevich Korkin (1837-1908): Aleksandr Nikolaevich Korkin The articles of Korkin and Zolotarev on the minima of positive quadratic forms Egor Ivanovich Zolotarev (1847-1878): Egor Ivanovich Zolotarev Zolotarev's memoirs on the theory of ideal numbers Andrei Andreevich Markov (1856-1922): Andrei Andreevich Markov On binary quadratic forms of positive determinant Georgii Fedoseevich Voronoi (1868-1908): Georgii Fedoseevich Voronoi Voronoi's dissertations on algebraic numbers of the third degree Voronoi's memoir of 1903: "On a problem from the theory of asymptotic functions" Voronoi's memoirs on quadratic forms Ivan Matveevich Vinogradov (1891-1983): Ivan Matveevich Vinogradov Works of Vinogradov from the first period of his mathematical activity Waring's problem The Goldbach problem Estimation of Weyl sums and the problem of the fractional parts of a polynomial Bibliography.
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