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
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Lwowska szkoła matematyczna
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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
「Nielsen BookData」 より
