Translated by Daniel Davies
Hardcover ISBN:  9781470410766 
Product Code:  HMATH/40 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9781470415273 
Product Code:  HMATH/40.E 
List Price:  $120.00 
MAA Member Price:  $108.00 
AMS Member Price:  $96.00 
Hardcover ISBN:  9781470410766 
eBook: ISBN:  9781470415273 
Product Code:  HMATH/40.B 
List Price:  $245.00 $185.00 
MAA Member Price:  $220.50 $166.50 
AMS Member Price:  $196.00 $148.00 
Translated by Daniel Davies
Hardcover ISBN:  9781470410766 
Product Code:  HMATH/40 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9781470415273 
Product Code:  HMATH/40.E 
List Price:  $120.00 
MAA Member Price:  $108.00 
AMS Member Price:  $96.00 
Hardcover ISBN:  9781470410766 
eBook ISBN:  9781470415273 
Product Code:  HMATH/40.B 
List Price:  $245.00 $185.00 
MAA Member Price:  $220.50 $166.50 
AMS Member Price:  $196.00 $148.00 

Book DetailsHistory of MathematicsVolume: 40; 2014; 231 ppMSC: Primary 01
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 twentiethcentury Polish mathematics not described anywhere else in the extant Englishlanguage literature.
ReadershipUndergraduate, graduate, and research mathematicians interested in the history of mathematics and the Polish history of sciences.

Table of Contents

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 followup

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


Additional Material

Reviews

Many journal articles have been devoted to various aspects of mathematics in Lvov or to biographies of Lvov mathematicians, but Duda's book is the first comprehensive exposition...In summary, I conclude that Duda's book is a must for everyone interested in the history of functional analysis or in the history of mathematics in Poland.
Lech Maligranda, Mathematical Intelligencer 
This eagerly awaited translation of the book Pearls describes a worldclass Polish school of mathematics at Lvov (now the Ukrainian Lviv) that thrived during the interwar period and has left an enduring legacy that remains part of the folklore today. Published in English translation after a somewhat protracted period of negotiation, this important work fills a niche in the history of science and should become a standard source of mathematics in Poland, especially the genesis of functional analysis during its Golden Age, 19181939. Moreover, the translator, Oxford's Daniel Davies, explains material that is unlikely to be familiar to readers outside Poland.
Isis, A Journal of the History of Science Society 
Many journal articles have been devoted to various aspects of mathematics in Lwów or to biographies of Lwów mathematicians, but Duda's book is the first comprehensive exposition. It is a mustread for everyone interested in the history of functional analysis or of mathematics in Poland, where the original Polish edition from 2007 ... has been highly successful. There is good reason to assume that the English version will be likewise successful.
Dirk Werner, ZMATH 
This book gives the history of Lvov as a mathematical center, from preWWI to Soviet and Ukrainian times, looking especially at the interwar golden age and the special favorable environment for mathematical scholarship. The author also describes the ways in which the Soviets and Germans destroyed this rich environment. The book includes a list, with biographical sketches, of mathematicians associated with Lvov, and a Lvov biography. It was a special time and place for mathematics, disrupted by war and politics and oppression and murder, and one wonders what more could have been achieved in a peaceful environment.
CHOICE Reviews 
The book under review is well and carefully written. The translation from Polish into English is polished and lively. ... I highly recommend the book for all university libraries, and I recommend it to those interested in the history of mathematics. The general mathematical reader will find it an entertaining and informative story about mathematicians and a truly extraordinary mathematical community.
Henry Heatherly, MAA Reviews


RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
 Book Details
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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 twentiethcentury Polish mathematics not described anywhere else in the extant Englishlanguage literature.
Undergraduate, graduate, and research mathematicians interested in the history of mathematics and the Polish history of sciences.

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 followup

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

Many journal articles have been devoted to various aspects of mathematics in Lvov or to biographies of Lvov mathematicians, but Duda's book is the first comprehensive exposition...In summary, I conclude that Duda's book is a must for everyone interested in the history of functional analysis or in the history of mathematics in Poland.
Lech Maligranda, Mathematical Intelligencer 
This eagerly awaited translation of the book Pearls describes a worldclass Polish school of mathematics at Lvov (now the Ukrainian Lviv) that thrived during the interwar period and has left an enduring legacy that remains part of the folklore today. Published in English translation after a somewhat protracted period of negotiation, this important work fills a niche in the history of science and should become a standard source of mathematics in Poland, especially the genesis of functional analysis during its Golden Age, 19181939. Moreover, the translator, Oxford's Daniel Davies, explains material that is unlikely to be familiar to readers outside Poland.
Isis, A Journal of the History of Science Society 
Many journal articles have been devoted to various aspects of mathematics in Lwów or to biographies of Lwów mathematicians, but Duda's book is the first comprehensive exposition. It is a mustread for everyone interested in the history of functional analysis or of mathematics in Poland, where the original Polish edition from 2007 ... has been highly successful. There is good reason to assume that the English version will be likewise successful.
Dirk Werner, ZMATH 
This book gives the history of Lvov as a mathematical center, from preWWI to Soviet and Ukrainian times, looking especially at the interwar golden age and the special favorable environment for mathematical scholarship. The author also describes the ways in which the Soviets and Germans destroyed this rich environment. The book includes a list, with biographical sketches, of mathematicians associated with Lvov, and a Lvov biography. It was a special time and place for mathematics, disrupted by war and politics and oppression and murder, and one wonders what more could have been achieved in a peaceful environment.
CHOICE Reviews 
The book under review is well and carefully written. The translation from Polish into English is polished and lively. ... I highly recommend the book for all university libraries, and I recommend it to those interested in the history of mathematics. The general mathematical reader will find it an entertaining and informative story about mathematicians and a truly extraordinary mathematical community.
Henry Heatherly, MAA Reviews