Pearls from a lost city : the Lvov school of mathematics
著者
書誌事項
Pearls from a lost city : the Lvov school of mathematics
(History of mathematics, v. 40)
American Mathematical Society, c2014
- タイトル別名
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Lwowska szkoła matematyczna
大学図書館所蔵 全11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 (p. [193]-223) and index
内容説明・目次
内容説明
The fame of the Polish school at Lvov rests with the diverse and fundamental contributions of Polish mathematicians working there during the interwar years. In particular, despite material hardship and without a notable mathematical tradition, the school made major contributions to what is now called functional analysis. The results and names of Banach, Kac, Kuratowski, Mazur, Nikodym, Orlicz, Schauder, Sierpinski, Steinhaus, and Ulam, among others, now appear in all the standard textbooks.
The vibrant joie de vivre and singular ambience of Lvov's once scintillating social scene are evocatively recaptured in personal recollections. The heyday of the famous Scottish Cafe - unquestionably the most mathematically productive cafeteria of all time - and its precious Scottish Book of highly influential problems are described in detail, revealing the special synergy of scholarship and camaraderie that permanently elevated Polish mathematics from utter obscurity to global prominence.
This chronicle of the Lvov school - its legacy and the tumultuous historical events which defined its lifespan - will appeal equally to mathematicians, historians, or general readers seeking a cultural and institutional overview of key aspects of twentieth-century Polish mathematics not described anywhere else in the extant English-language literature.
目次
Background
The University and the Polytechnic in Lvov
Polish mathematics at the turn of the twentieth century
Sierpiski's stay at the University of Lvov (1908-1914)
The University in Warsaw and Janiszewski's program (1915-1920)
World mathematics (active fields in Poland) around 1920
The golden age: Individuals and community
The mathematical community in Lvov after World War I
Mathematical studies and students
Journals, monographs, and congresses
The popularization of mathematics
Social life (the Scottish Café, the Scottish Book)
The Polish Mathematical Society
Collaboration with other centers
In the eyes of others
The golden age: Achievements
Stefan Banach's doctoral thesis and priority claims
Probability theory
Measure theory
Game theory: A revelation without follow-up
Operator theory in the 1920s
Methodological audacity
Banach's monograph: Polishing the pearls
Operator theory in the 1930s: The dazzle of pearls
New perspectives for which time did not allow
On the periphery
Oblivion
Ukrainization the Soviet way (1939-1941)
The German occupation (1941-1944)
The expulsion of Poles (1945-1946)
Historical significance
Chronological overview
Chronology of events as perceived elsewhere
Influence on mathematics of the Lvov school
A tentative summary
Mathematics in Lvov after 1945
List of Lvov mathematicians
Mathematicians associated with Lvov
Bibliographies
List of illustrations
Index of names
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