A History of Polish Mathematics
A Cultural Perspective from Origins to Modernity
Summary
Excerpt
Table Of Contents
- Cover
- Halftitle
- Polish Studies – Transdisciplinary Perspectives
- Title
- Copyright
- Academic editors:
- Table of Content
- Figures
- Epigraph
- Foreword
- Abbreviations
- Chapter 1 Poland in the Middles Ages (Eleventh–Fifteenth Centuries)
- 1 Introduction
- 2 Prehistory
- 3 The Middle Ages
- 4 Universities
- 5 Mathematics in Poland before 1400
- 6 Poland’s beginnings
- 7 Vitello
- 8 The foundation of a university in Kraków
- 9 Mathematics in Europe during the fifteenth century
- 10 Polish mathematics during the fifteenth century
- 11 The medieval scholar
- 12 Copernicus
- Chapter 2 Poland on the Cusp of Modern Times (Sixteenth–Eighteenth centuries)
- 1 Culture in the sixteenth century
- 2 Reckoner schools
- 3 European schooling
- 4 Schooling in Poland
- 5 Mathematics in Poland during the sixteenth century
- 6 The seventeenth century and the start of modern science
- 7 Universities in Kraków, Vilnius and Lwów
- 8 European Mathematics between the seventeenth and eighteenth centuries
- 9 Polish mathematics in the seventeenth century
- 10 The Saxon Era (1697–1795)
- 11 The Poniatowski Era (1764–1795)
- 12 Reforms of the national Educational Commission (Komisja Edukacji narodowej, KEN)
- 13 Other European school reforms
- 14 Polish mathematics in the eighteenth century
- 15 Polish mathematical terminology
- 16 The downfall of the country and partitions
- Chapter 3 Poland under Partition I (1795–1865)
- 1 After the downfall of the state
- 2 The Duchy of Warsaw and the Congress Kingdom of Poland
- 3 Mathematics at the Royal University (UK)
- 4 The University in Vilnius and the Vilnius Educational District
- 5 Galicia and the University in Kraków and Lwów
- 6 Publishing activity
- 7 Emigration
- 8 Polish mathematics in 1795–1865
- Chapter 4 Poland under Partition II (1865–1914)
- 1 The Principal School in Warsaw
- 2 The Russian University in Warsaw
- 3 Organisational activity in Warsaw
- 4 Polish Emigrés (Paris, Peru, Russia)
- 5 Kraków
- 6 Lwów
- 7 The Prussian partition
- 8 Higher technical schooling
- 9 Activity outside the partition zones
- 10 Publishing activity
- 11 International cooperation
- 12 Mathematical culture
- 13 Polish mathematics between 1865 and 1915
- 14 A summary of the period
- Chapter 5 Poland in the Interwar Years (1915–1940)
- 1 Introduction
- 2 The First World War
- 3 Mathematical centres
- 4 The Warsaw School of Mathematics
- 5 The Warsaw School of Logic
- 6 The Lwów School of Mathematics
- 7 The significance of the Polish School of Mathematics
- 8 A new model for an academic career
- 9 The Polish Mathematical Society
- 10 Publishing activity
- 11 International collaboration
- 12 Mathematical culture
- 13 Emigration
- Chapter 6 Polish Mathematics in the Interwar Years
- 1 Introduction
- 2 Set theory
- 3 Topology
- 4 Mathematical logic and foundations of mathematics
- 5 Mathematical analysis
- 6 The theory of functions of a real variable
- 7 Complex functions
- 8 Differential equations
- 9 Trigonometric and orthogonal series
- 10 Functional analysis
- 11 Measure theory
- 12 Probability theory
- 13 Differential geometry
- 14 Algebra
- 15 number theory
- 16 Discrete mathematics
- 17 Mathematical statistics
- 18 Mechanics
- 19 Miscellaneous
- 20 An outside view
- 21 A tentative assessment
- Chapter 7 The Catastrophe of the Second World War
- 1 The invasion of Poland
- 2 The Soviet occupation of the Eastern borderlands (1939–1941)
- 3 The German occupation (1939–1945)
- 4 The underground state and clandestine teaching
- 5 War losses
- Chapter 8 Poland after the Second World War
- 1 Territorial and political changes
- 2 A new academic network
- 3 The revival of Polish mathematics (1944–1949)
- 4 International cooperation
- 5 New faculty
- 6 Publishing activity
- 7 The Communist reform of science
- 8 Later political circumstances (1955–1989)
- 9 Emigration
- 10 The banach Center and other centres
- 11 The International Congress of Mathematicians in Warsaw
- 12 Mathematical culture
- Chapter 9 Polish Mathematics after the Second World War
- 1 Introduction
- 2 Set theory
- 3 Topology
- 4 Mathematical logic and the foundations of mathematics
- 5 Analysis
- 6 Differential equations
- 7 Complex functions
- 8 Algebra
- 9 Probability theory
- 10 Mathematical statistics
- 11 number theory
- 12 Functional analysis
- 13 Harmonic analysis
- 14 Computer science
- 15 Applications of mathematics
- 16 Discrete mathematics
- 17 A tentative assessment
- Chapter 10 A Tentative Assessment
- 1 The distant past (up to 1861)
- 2 The significance of the half-century (1861–1914)
- 3 The Polish School of Mathematics and its demise (1918–1945)
- 4 A difficult revival (1945–1989)
- 5 Independence regained and afterwards (after 1989)
- 6 Recognition at home and abroad
- 7 Conclusion
- Annexes
- Annex 1 Polish Mathematical Literature
- Annex 2 biographical notes
- Annex 3 Doctorates and Habilitations in Mathematics and Logic Obtained in Poland (1918–1939)
- Annex 4 bibliography
- Indexes
- Index 1. Mathematics (fields, concepts, results, etc., with particular emphasis on Polish contributions)
- Index 2. Teaching and Dissemination of Mathematics (school and university formats, degrees and titles, major journals and series, curricula, reforms, etc.)
- Index 3. Intellectual Movements and Major Organiszations
- Index 4. Places and the Institutions/Events Associated with Them
- Index 5. Mathematicians Associated with Poland and Polish Historians of Mathematics
- Index 6. Other Individuals
Polish Studies – Transdisciplinary Perspectives
Edited by Jaroslaw Fazan and Krzyszof Zajas
Volume 49
Academic editors:
Dr Karolina Karpińska – Institute for the History of Science, Polish Academy of Sciences (IHN PAN), Warsaw, Poland Dr Małgorzata Stawiska-Friedland – Mathematical Reviews/MathSciNet, American Mathematical Society, Ann Arbor, MI, USA
Language editing:
Dr Małgorzata Stawiska-Friedland – Mathematical Reviews/MathSciNet, American Mathematical Society, Ann Arbor, MI, USA
Translator:
Daniel R. M. Davies, MSC – British mathematician, translator, and editor; translator of Roman Duda’s Pearls from a Lost City (American Mathematical Society, 2014)
Table of Content
Chapter 1 Poland in the Middles Ages (Eleventh–Fifteenth Centuries)
Chapter 2 Poland on the Cusp of Modern Times (Sixteenth–Eighteenth centuries)
Chapter 4 Poland under Partition II (1865–1914)
Chapter 5 Poland in the Interwar Years (1915–1940)
Chapter 6 Polish Mathematics in the Interwar Years
Chapter 8 Poland after the Second World War
Chapter 9 Polish Mathematics after the Second World War
Figures
Figure 2. A university lecture [L. de Voltolina, Aristoteles hält eine Vorlesung vor Studenten (Ausschnitt aus einem Liber ethicorum des Frater Henricus de Alemannia); Credit: Staatliche Museen zu berlin, Kupferstichkabinett; photograph by Jörg P. Anders; Public domain; Object page: https://id.smb.museum/object/954320/aristoteles-h%C3%A4lt-eine-vorlesung-vorstudenten-ausschnitt-aus-einem-liber-ethicorum-des-fraterhenricus-de-alemannia, accessed 4 October 2025]
Figure 3. Cover of Perspectiva [Witelo, Vitellionis mathematici doctissimi peri optikés, id est, de natura, ratione, & proiectione radiorum uisus, luminum, colorum atq[ue] formarum, quam uulgo Perspectiuam uocant, libri X, norimbergæ, 1551; Credit: Fondos Digitalizados de la Universidad de Sevilla; shelfmark: A Res. 41/2/01; Public domain; Object page: https://archive.org/details/ARes41201, accessed 4 October 2025]
Figure 6. Copernican model: At the centre lies the Sun, the planets move around it in circular orbits, including the Earth and the Moon [nicolaus Copernicus, De revolutionibus orbium coelestium, libri VI, norimbergæ: Apud Ioh. Petreium, 1543, fol. 9v; Credit: Kuyavian-Pomeranian Digital Library; Public domain; Object page: https://kpbc.umk.pl/dlibra/doccontent?id=44445, accessed 4 October 2025]
Figure 9. An algorist and an abacist. This illustration appears on the title page of Algorithmus linealis… by Jan of Łańcut, first published in 1513 [Jan of Łańcut, Algorithmus linealis cum pulchris conditionibus duarum regularum de tri, una de integris, altera vero de fractis…, Impresum Cracovie: per Florianum Unglerium, 1513; Credit: national Library of Poland – Digital Library Polona; Public domain; Object page: https://polona.pl/preview/61e35fcc-9092-4989-8c06-aad19ea0061d, accessed 4 October 2025]
Figure 11. Cover of Algoritmus by Kłos (1538) [Tomasz Kłos, Algoritmus, To iesth nauka Liczby, Kraków: Helena Unglerowa, 1538; Credit: Jagiellonian Digital Library; Public domain; Object page: https://www.jbc.bj.uj.edu.pl/en/dlibra/publication/283328/edition/270725?language=pl, accessed 4 October 2025]
Figure 12. Cover of Grzepski’s Geometria (1566) [Stanisław Grzepski, Geometria, to jest miernicka nauka, Kraków: Drukarnia Łazarzowa, 1566; Credit: Jagiellonian Digital Library; Public domain; Object page: https://jbc.bj.uj.edu.pl/dlibra/publication/107519/edition/100433/geometria-to-iest-miernicka-nauka-po-polsku-krotkonapisana-z-gr-ckich-y-z-lacinskich-ksiag-naydziesz-teziako-naszy-miernicy-zwykli-mierzyc-imienie, accessed 4 October 2025]
Figure 13. Jesuit church in Lwów: the building attached to it is the Jesuit college-academy [postcard; title: Lwów, kościół jezuicki, Lwów: Jan bromilski (publisher), post 1906; Credit: national Library of Poland – Digital Library Polona; shelfmark: Poczt. 779; Public domain; Object page: https://polona.pl/preview/f1d84164-9983-413d-ac2f-74398229fb42, accessed 4 October 2025]
Figure 16. Stanisław Solski (1622–1701) [after a sketch by bolesław Podczaszyński; Source: C. biernacki, “Ksiądz Stanisław Solski,” Tygodnik Ilustrowany 79 (5 July 1884), p. 1. Credit: Digital Library of the University of Lodz (BCUL); Public domain; Object page: https://bcul.lib.uni.lodz.pl/dlibra/publication/1516/edition/1178, accessed 4 October 2025]
Figure 17. Title page of Solski’s Geometra Polski [Stanisław Solski, Geometra polski, to iest nauka rysowania, podziały, przemieniania y rozmierzania liniy, angułow, figur y brył pełnych, Kraków: w Drukarni Gerzego y Mikołaia Schedlów, 1683; Credit: national Library of Poland – Digital Library Polona; shelfmark: SD XVII.4.1249; Public domain; Object page: https://polona.pl/item/geometra-polski-to-iestnauka-rysowania-podzialy-przemieniania-y-rozmierzanialiniy,MTIwMjcyMTc/, accessed 4 October 2025]
Figure 18. Jan Śniadecki (1756–1830) [author: Edouard Schuler; Source: Hanna Widacka, Katalog portretów…, vol. 4, item 5459; Credit: national Library of Poland – Digital Library Polona; shelfmark: G.10483/III; Public domain; Object page: https://polona.pl/preview/e5b54865-0dce-404f-a212-e434d35064af, accessed 4 October 2025]
Figure 21. Vilnius University [Source: Widoki Wilna. Były universitet Wileński. [Nr. 33] = Vues de Wilna. L’Ancienne université de Wilna (from the series Album Wileński / Album de Wilna), creator: Philippe benoist; Credit: Vilnius University Library – Digital Collections; Public domain; Object page: https://kolekcijos.biblioteka.vu.lt/objects/990000012371508452, accessed 4 October 2025]
Figure 23. Zygmunt Rewkowski (1807–1893) [Józef (Szeliga) bieliński, “Prof Zygmunt Rewkowski,” Kłosy: czasopismo ilustrowane, tygodniowe, poświęcone literaturze, nauce i sztuce 48 (1243) (13 April 1889), p. 257; engraver: Edward nicz; Credit: University Library in Poznań – Wielkopolska Digital Library; Public domain; Object page: https://www.wbc.poznan.pl/dlibra/publication/394441/edition/306195, accessed 4 October 2025]
Figure 24. Portrait of Stern with his machine [oil on canvas; author: Jan Antoni blank, 1823; Credit: Wikimedia Commons; Public domain; Object page: https://commons.wikimedia.org/wiki/File:blank-portret-Abrahama-Sterna.jpg, accessed 4 October 2025]
Figure 26. Augustyn Frączkiewicz (1798–1883) [author: Jan Styfi, 1884; Credit: national Library of Poland – Digital Library Polona, shelfmark: G.6016/I; Public domain; Object page: https://polona.pl/item-view/d2da0419-6575-4f08-8a42-eb3b3c7a3d7e?page=0, accessed 4 October 2025]
Figure 27. Władysław Wojciech Zajączkowski (1837–1898) [portrait photograph; Title: Portret Władysława Zajączkowskiego z Albumu Józefa Majera, author: J. Edler, 1881; Credit: Polish Academy of Arts and Sciences – PAUART Catalog of the artistic and scientific collections of the Polish Academy of Arts and Sciences; shelfmark: BZS. RKPS.6624.88; Public domain; Object page: http://pauart.pl/app/artwork?id=bZS_RKPS_6624_88, accessed 4 October 2025]
Figure 28. Samuel Dickstein (1851–1939) [portrait photograph,, February 1928; Title: Samuel Dickstein – profesor matematyki i historii matematyki Uniwersytetu Warszawskiego. Fotografia portretowa; Collection: Ilustrowany Kurier Codzienny – Illustration Archive; Credit: national Digital Archives (Poland), shelfmark: 1-n-129; Public domain; Object page: https://audiovis.nac.gov.pl/obraz/96712/, see also: ttps://www.szukajwarchiwach.gov.pl/en/jednostka/-/jednostka/5985315/obiekty/309511#opis_obiektu, accessed 4 October 2025]
Figure 29. Marian Aleksander baraniecki (1848–1895) [portrait photograph, Title: Portret Mariana Baranieckiego, author: Walerian Twardzicki, c. 1880; Credit: biblioteka Publiczna m.st. Warszawy – biblioteka Główna Województwa Mazowieckiego, Mazowiecka biblioteka Cyfrowa, shelfmark: Szt.Fot 18; Public domain; Object page: https://mbc.cyfrowemazowsze.pl/dlibra/publication/71677/edition/66516, accessed 4 October 2025]
Figure 31. Julian Sochocki (1842–1927) [Private collection of Galina Sinkevich]
Figure 32. Franciszek Mertens (1840–1927) [portrait photograph, 1870–1885; author: Atelier Awit Szubert; Credit: Staatliche Museen zu berlin, Kunstbibliothek; Public domain; Object page: https://id.smb.museum/object/1817291, accessed 4 October 2025]
Figure 34. Stanisław Zaremba (1863–1942) [portrait photograph; Title: Stanisław Zaremba – matematyk, profesor Uniwersytetu Jagiellońskiego, członek Polskiej Akademii Umiejętności. Fotografia portretowa; Collection: Ilustrowany Kurier Codzienny – Illustration Archive; Credit: national Digital Archives (Poland), shelfmark: 1-n-661; Public domain; Object page: https://audiovis.nac.gov.pl/obraz/99761/, accessed 4 October 2025]
Figure 35. Józef Puzyna (1856–1919) [portrait in “Z tygodnia na tydzień,” Tygodnik Ilustrowany 50 (10 December / 27 november 1904), p. 963; Credit: University of Łódź Library, Digital Library of the University of Łódź; Public domain; Object page: https://bcul.lib.uni.lodz.pl/dlibra/publication/73/edition/50?language=en, accessed 4 October 2025]
Figure 36. Wacław Sierpiński (1882–1969) [portrait photograph, February 1928; Title: Wacław Sierpiński – matematyk, profesor Uniwersytetu Lwowskiego i Warszawskiego, członek Polskiej Akademii Umiejętności; Fonds: Ilustrowany Kurier Codzienny – Illustration Archive; Credit: national Digital Archives (Poland), reference code: 3/1/0/10/525; Public domain; Object page: https://audiovis.nac.gov.pl/obraz/98444/, accessed 4 October 2025]
Figure 38. Jan Łukasiewicz (1878–1956) [portrait photograph, november 1935; Title: Jan Łukasiewicz – doktor filozofii, logik, matematyk, profesor Uniwersytetu Lwowskiego i Warszawskiego. Fotografia portretowa; Fonds: Ilustrowany Kurier Codzienny – Illustration Archive; Credit: national Digital Archives (Poland), reference code: 3/1/0/10/358; Public domain; Object page: https://audiovis.nac.gov.pl/obraz/97484/, accessed 4 October 2025]
Figure 45. The view from Św. Mikołaja Street toward Fredro Square presents Łozińskiego Street directly ahead, which was the location of “Łoziniec,” a student house at the UJK. To the right is a building that once housed the Scottish Café. As of 2025, this building is now occupied by a hotel, and on its ground floor, a café styled to resemble the original Scottish Café has been established and carries the same name [Title: Lwów, plac Akademicki i ul. Fredry = Lemberg, Academie-Platz u. Fredro-Gasse, Kraków: Wydawnictwo Sztuka, 1915; Credit: national Library of Poland – Digital Library Polona, shelfmark: Poczt. 1529; Public domain; Object page: https://polona.pl/preview/856feecb-ce88-4aec-8f28-b7b4a4a32fc2, accessed 4 October 2025]
Figure 47. First entries in the Scottish Book (by Stefan banach) [Source: Home Page of Stefan banach (Wortal Stefana banacha), http://kielich.amu.edu.pl/Stefan_banach/, accessed 4 October 2025]
Figure 52. Cover of the first volume of Studia Mathematica [Studia Mathematica 1 (1929)]
Figure 53. Cover of the second volume of Acta Arithmetica [Acta Arithmetica 2.2 (1937)]
Details
- Pages
- 758
- Publication Year
- 2026
- ISBN (PDF)
- 9783631932094
- ISBN (ePUB)
- 9783631947333
- ISBN (Hardcover)
- 9783631877647
- DOI
- 10.3726/b23457
- Language
- English
- Publication date
- 2026 (June)
- Keywords
- history of mathematics in Poland history of education National Education Commission Polish School of Mathematics Polish mathematicians Stefan Banach Wacław Sierpiński Alfred Tarski mathematicians journals partition era WWII post-war renewal
- Published
- Berlin, Bruxelles, Chennai, Lausanne, New York, Oxford, 2026. 758 pp., 104 fig. b/w, 8 tables.
- Product Safety
- Peter Lang Group AG