A panorama of Hungarian mathematics in the twentieth century
著者
書誌事項
A panorama of Hungarian mathematics in the twentieth century
(Bolyai Society mathematical studies, 14)
Springer , János Bolyai Mathematical Society, c2006
- 1 : Springer
大学図書館所蔵 全3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 and index
内容説明・目次
内容説明
A glorious period of Hungarian mathematics started in 1900 when Lipot Fejer discovered the summability of Fourier series.This was followed by the discoveries of his disciples in Fourier analysis and in the theory of analytic functions. At the same time Frederic (Frigyes) Riesz created functional analysis and Alfred Haar gave the first example of wavelets. Later the topics investigated by Hungarian mathematicians broadened considerably, and included topology, operator theory, differential equations, probability, etc. The present volume, the first of two, presents some of the most remarkable results achieved in the twentieth century by Hungarians in analysis, geometry and stochastics.
The book is accessible to anyone with a minimum knowledge of mathematics. It is supplemented with an essay on the history of Hungary in the twentieth century and biographies of those mathematicians who are no longer active. A list of all persons referred to in the chapters concludes the volume.
目次
Topology.- Topology.- Constructive Function Theory.- Constructive Function Theory: I. Orthogonal Series.- Orthogonal Polynomials.- Classical (Unweighted) and Weighted Interpolation.- Extremal Properties of Polynomials.- Harmonic Analysis.- Commutative Harmonic Analysis.- Non-Commutative Harmonic Analysis.- A Panorama of the Hungarian Real and Functional Analysis in the 20Th Century.- Differential equations: Hungary, the extended first half of the 20Th century.- Holomorphic Functions.- Theodore von Karman.- Geometry.- Differential geometry.- The Works of Kornel Lanczos on the Theory of Relativity.- Discrete and Convex Geometry.- Stochastics.- Probability theory.- Mathematical Statistics.- Stochastics: Information Theory.- Contribution of Hungarian Mathematicians to Game Theory.- A Short Guide to The History of Hungary in The 20th Century.- Education And Research In Mathematics.- Biographies.
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