Pearls from a Lost City :The Lvov School of Mathematics ( History of Mathematics )

Publication subTitle :The Lvov School of Mathematics

Publication series :History of Mathematics

Author: Roman Duda  

Publisher: American Mathematical Society‎

Publication year: 2016

E-ISBN: 9781470415273

P-ISBN(Paperback): 9781470410766

Subject: O1 Mathematics

Keyword: 暂无分类

Language: ENG

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Pearls from a Lost City

Description

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, Sierpiński, 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 Café—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.

Chapter

Title page

Contents

Preface

Background

The University and the Polytechnic in Lvov

Polish mathematics at the turn of the twentieth century

Sierpiński’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

Bibliography A

Bibliography B

Bibliography C

List of illustrations

Index of names

Back Cover

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