Polish School of Mathematics

Last updated

The Polish School of Mathematics was the mathematics community that flourished in Poland in the 20th century, particularly during the Interbellum between World Wars I and II.

Contents

Overview

The Polish School of Mathematics subsumed:

Nomenclature

Poland's mathematicians provided a name to Polish notation and Polish space.

Background

It has been debated what stimulated the exceptional efflorescence of mathematics in Poland after World War I. Important preparatory work had been done by the Polish "Positivists" following the disastrous January 1863 Uprising. The Positivists extolled science and technology, and popularized slogans of "organic work" and "building from the foundations." In the 20th century, mathematics was a field of endeavor that could be successfully pursued even with the limited resources that Poland commanded in the interbellum period.

Historical Influences

Over the centuries, Polish mathematicians have influenced the course of history. Copernicus used mathematics to buttress his revolutionary heliocentric theory. Four hundred years later, Marian Rejewski — subsequently assisted by fellow mathematician-cryptologists Jerzy Różycki and Henryk Zygalski — in December 1932 first broke the German Enigma machine cipher, thus laying the foundations for British World War II reading of Enigma ciphers ("Ultra"). After the war, Stanisław Ulam showed Edward Teller how to construct a practicable hydrogen bomb.

See also

Related Research Articles

<span class="mw-page-title-main">Stefan Banach</span> Polish mathematician (1892–1945)

Stefan Banach was a Polish mathematician who is generally considered one of the 20th century's most important and influential mathematicians. He was the founder of modern functional analysis, and an original member of the Lwów School of Mathematics. His major work was the 1932 book, Théorie des opérations linéaires, the first monograph on the general theory of functional analysis.

<span class="mw-page-title-main">Wacław Sierpiński</span> Polish mathematician (1882–1969)

Wacław Franciszek Sierpiński was a Polish mathematician. He was known for contributions to set theory, number theory, theory of functions, and topology. He published over 700 papers and 50 books.

<span class="mw-page-title-main">Kazimierz Kuratowski</span> Polish mathematician and logician

Kazimierz Kuratowski was a Polish mathematician and logician. He was one of the leading representatives of the Warsaw School of Mathematics. He worked as a professor at the University of Warsaw and at the Mathematical Institute of the Polish Academy of Sciences. Between 1946 and 1953, he served as President of the Polish Mathematical Society.

<span class="mw-page-title-main">Hugo Steinhaus</span> Polish mathematician (1887–1972)

Hugo Dyonizy Steinhaus was a Polish mathematician and educator. Steinhaus obtained his PhD under David Hilbert at Göttingen University in 1911 and later became a professor at the Jan Kazimierz University in Lwów, where he helped establish what later became known as the Lwów School of Mathematics. He is credited with "discovering" mathematician Stefan Banach, with whom he gave a notable contribution to functional analysis through the Banach–Steinhaus theorem. After World War II Steinhaus played an important part in the establishment of the mathematics department at Wrocław University and in the revival of Polish mathematics from the destruction of the war.

<span class="mw-page-title-main">Jerzy Różycki</span> Polish mathematician and cryptologist (1909–1942)

Jerzy Witold Różycki was a Polish mathematician and cryptologist who worked at breaking German Enigma-machine ciphers before and during World War II.

<span class="mw-page-title-main">Jan Łukasiewicz</span> Polish logician and philosopher (1878–1956)

Jan Łukasiewicz was a Polish logician and philosopher who is best known for Polish notation and Łukasiewicz logic. His work centred on philosophical logic, mathematical logic and history of logic. He thought innovatively about traditional propositional logic, the principle of non-contradiction and the law of excluded middle, offering one of the earliest systems of many-valued logic. Contemporary research on Aristotelian logic also builds on innovative works by Łukasiewicz, which applied methods from modern logic to the formalization of Aristotle's syllogistic.

<span class="mw-page-title-main">Stanisław Leśniewski</span> Polish mathematician and philosopher

Stanisław Leśniewski was a Polish mathematician, philosopher and logician.

<span class="mw-page-title-main">Henryk Zygalski</span>

Henryk Zygalski was a Polish mathematician and cryptologist who worked at breaking German Enigma-machine ciphers before and during World War II.

The Cipher Bureau was the interwar Polish General Staff's Second Department's unit charged with SIGINT and both cryptography and cryptanalysis.

<span class="mw-page-title-main">Lwów School of Mathematics</span> Research collective

The Lwów school of mathematics was a group of Polish mathematicians who worked in the interwar period in Lwów, Poland. The mathematicians often met at the famous Scottish Café to discuss mathematical problems, and published in the journal Studia Mathematica, founded in 1929. The school was renowned for its productivity and its extensive contributions to subjects such as point-set topology, set theory and functional analysis. The biographies and contributions of these mathematicians were documented in 1980 by their contemporary, Kazimierz Kuratowski in his book A Half Century of Polish Mathematics: Remembrances and Reflections.

<span class="mw-page-title-main">Kazimierz Żorawski</span> Polish mathematician (1866–1953)

Paulin Kazimierz Stefan Żorawski was a Polish mathematician. Żorawski's main interests were invariants of differential forms, integral invariants of Lie groups, differential geometry and fluid mechanics. His work in these disciplines was to prove important in other fields of mathematics and science, such as differential equations, geometry and physics.

The Lwów–Warsaw School was an interdisciplinary school founded by Kazimierz Twardowski in 1895 in Lemberg, Austro-Hungary.

<span class="mw-page-title-main">Timeline of Polish science and technology</span> Timeline of the history of science and technology in Poland

Education has been of prime interest to Poland's rulers since the early 12th century. The catalog of the library of the Cathedral Chapter in Kraków dating from 1110 shows that Polish scholars already then had access to western European literature. In 1364, King Casimir III the Great founded the Cracow Academy, which would become one of the great universities of Europe. The Polish people have made considerable contributions in the fields of science, technology and mathematics. The list of famous scientists in Poland begins in earnest with the polymath, astronomer and mathematician Nicolaus Copernicus, who formulated the heliocentric theory and sparked the European Scientific Revolution.

<span class="mw-page-title-main">Jan Kowalewski</span> Polish cryptologist and engineer

Lt. Col. Jan Kowalewski was a Polish cryptologist, intelligence officer, engineer, journalist, military commander, and creator and first head of the Polish Cipher Bureau. He recruited a large staff of cryptologists who broke Soviet military codes and ciphers during the Polish-Soviet War, enabling Poland to weather the war and achieve victory in the 1920 Battle of Warsaw.

<span class="mw-page-title-main">Helena Rasiowa</span> Polish mathematician

Helena Rasiowa was a Polish mathematician. She worked in the foundations of mathematics and algebraic logic.

<span class="mw-page-title-main">Marian Rejewski</span> Polish mathematician and cryptologist (1905–1980)

Marian Adam Rejewski was a Polish mathematician and cryptologist who in late 1932 reconstructed the sight-unseen Nazi German military Enigma cipher machine, aided by limited documents obtained by French military intelligence. Over the next nearly seven years, Rejewski and fellow mathematician-cryptologists Jerzy Różycki and Henryk Zygalski developed and used techniques and equipment to decrypt the German machine ciphers, even as the Germans introduced modifications to their equipment and encryption procedures.

The history of philosophy in Poland parallels the evolution of philosophy in Europe in general.

<span class="mw-page-title-main">Aleksander Rajchman</span> Polish mathematician (1890–1940)

Aleksander Michał Rajchman was a mathematician of the Warsaw School of Mathematics of the Interwar period. He had origins in the Lwów School of Mathematics and contributed to real analysis, probability and mathematical statistics.

Henryk Hiż was a Polish analytical philosopher specializing in linguistics, philosophy of language, logic, mathematics and ethics, active for most of his life in the United States, one of the youngest representatives of the Lwów–Warsaw school.

References