Kazimierz Żorawski
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Kazimierz Żorawski (June 22, 1866 – January 23, 1953) was a Polish
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...
. His work earned him an honored place in mathematics alongside such Polish mathematicians as Wojciech Brudzewski,
Jan Brożek Jan Brożek (''Ioannes Broscius'', ''Joannes Broscius'' or ''Johannes Broscius''; 1 November 1585 – 21 November 1652) was a Polish polymath: a mathematician, astronomer, physician, poet, writer, musician and rector of the Kraków Academy. Life ...
(Broscius),
Nicolas Copernicus Nicolaus Copernicus (; pl, Mikołaj Kopernik; gml, Niklas Koppernigk, german: Nikolaus Kopernikus; 19 February 1473 – 24 May 1543) was a Renaissance polymath, active as a mathematician, astronomer, and Catholic canon, who formulated ...
,
Samuel Dickstein Samuel Dickstein (February 5, 1885 – April 22, 1954) was a Democratic Congressional Representative from New York (22-year tenure), a New York State Supreme Court Justice, and a Soviet spy. He played a key role in establishing the committee th ...
,
Stefan Banach Stefan Banach ( ; 30 March 1892 – 31 August 1945) 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 ...
,
Stefan Bergman Stefan Bergman (5 May 1895 – 6 June 1977) was a Congress Poland-born American mathematician whose primary work was in complex analysis. His name is also written Bergmann; he dropped the second "n" when he came to the U. S. He is best known for t ...
,
Marian Rejewski Marian Adam Rejewski (; 16 August 1905 – 13 February 1980) was a Polish mathematician and cryptologist who in late 1932 reconstructed the sight-unseen German military Enigma cipher machine, aided by limited documents obtained by French mili ...
,
Wacław Sierpiński Wacław Franciszek Sierpiński (; 14 March 1882 – 21 October 1969) was a Polish mathematician. He was known for contributions to set theory (research on the axiom of choice and the continuum hypothesis), number theory, theory of functions, and to ...
, Stanisław Zaremba and
Witold Hurewicz Witold Hurewicz (June 29, 1904 – September 6, 1956) was a Polish mathematician. Early life and education Witold Hurewicz was born in Łódź, at the time one of the main Polish industrial hubs with economy focused on the textile industry. His ...
. Żorawski's main interests were invariants of
differential forms In mathematics, differential forms provide a unified approach to define integrands over curves, surfaces, solids, and higher-dimensional manifolds. The modern notion of differential forms was pioneered by Élie Cartan. It has many applications, ...
, integral invariants of
Lie groups In mathematics, a Lie group (pronounced ) is a group that is also a differentiable manifold. A manifold is a space that locally resembles Euclidean space, whereas groups define the abstract concept of a binary operation along with the additio ...
,
differential geometry Differential geometry is a mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds. It uses the techniques of differential calculus, integral calculus, linear algebra and multili ...
and
fluid mechanics Fluid mechanics is the branch of physics concerned with the mechanics of fluids ( liquids, gases, and plasmas) and the forces on them. It has applications in a wide range of disciplines, including mechanical, aerospace, civil, chemical and bio ...
. His work in these disciplines was to prove important in other fields of mathematics and science, such as
differential equations In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, an ...
,
geometry Geometry (; ) is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space such as the distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is c ...
and
physics Physics is the natural science that studies matter, its fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force. "Physical science is that department of knowledge which r ...
(especially
astrophysics Astrophysics is a science that employs the methods and principles of physics and chemistry in the study of astronomical objects and phenomena. As one of the founders of the discipline said, Astrophysics "seeks to ascertain the nature of the h ...
and
cosmology Cosmology () is a branch of physics and metaphysics dealing with the nature of the universe. The term ''cosmology'' was first used in English in 1656 in Thomas Blount (lexicographer), Thomas Blount's ''Glossographia'', and in 1731 taken up in ...
).


Biography

Kazimierz Żorawski was born in Szczurzyn near
Ciechanów Ciechanów is a city in north-central Poland. From 1975 to 1998, it was the capital of the Ciechanów Voivodeship. Since 1999, it has been situated in the Masovian Voivodeship. As of December 2021, it has a population of 43,495. History The se ...
, in the
Russian Empire The Russian Empire was an empire and the final period of the Russian monarchy from 1721 to 1917, ruling across large parts of Eurasia. It succeeded the Tsardom of Russia following the Treaty of Nystad, which ended the Great Northern War. ...
, now in
Poland Poland, officially the Republic of Poland, is a country in Central Europe. It is divided into 16 administrative provinces called voivodeships, covering an area of . Poland has a population of over 38 million and is the fifth-most populous ...
, to Juliusz Bronisław Wiktor Żórawski and Kazimiera Żórawska. In 1884 he completed secondary school in
Warsaw Warsaw ( pl, Warszawa, ), officially the Capital City of Warsaw,, abbreviation: ''m.st. Warszawa'' is the capital and largest city of Poland. The metropolis stands on the River Vistula in east-central Poland, and its population is officia ...
. From 1884 to 1888 he studied mathematics at the
University of Warsaw The University of Warsaw ( pl, Uniwersytet Warszawski, la, Universitas Varsoviensis) is a public university in Warsaw, Poland. Established in 1816, it is the largest institution of higher learning in the country offering 37 different fields of ...
. In 1889 he was selected to continue his mathematics studies on the strength of a paper on observations that he had made at the Warsaw Astronomical Observatory. In the years that followed he studied the theory of conversion groups and
analytical mechanics In theoretical physics and mathematical physics, analytical mechanics, or theoretical mechanics is a collection of closely related alternative formulations of classical mechanics. It was developed by many scientists and mathematicians during the ...
in
Leipzig Leipzig ( , ; Upper Saxon: ) is the most populous city in the German state of Saxony. Leipzig's population of 605,407 inhabitants (1.1 million in the larger urban zone) as of 2021 places the city as Germany's eighth most populous, as wel ...
, and differential equations in
Göttingen Göttingen (, , ; nds, Chöttingen) is a college town, university city in Lower Saxony, central Germany, the Capital (political), capital of Göttingen (district), the eponymous district. The River Leine runs through it. At the end of 2019, t ...
. In 1891 he was awarded a PhD (under M. Sophius Lie) in Leipzig for his thesis on the applications of group conversion theory to differential geometry. In 1892 he became a lecturer at the Polytechnic Higher School of Lwów where he taught mathematics and, in 1893, assumed the Chair of Mechanical Science. In 1893, Żorawski received a doctorate in mathematics from
Jagiellonian University The Jagiellonian University (Polish: ''Uniwersytet Jagielloński'', UJ) is a public research university in Kraków, Poland. Founded in 1364 by King Casimir III the Great, it is the oldest university in Poland and the 13th oldest university in ...
in
Kraków Kraków (), or Cracow, is the second-largest and one of the oldest cities in Poland. Situated on the Vistula River in Lesser Poland Voivodeship, the city dates back to the seventh century. Kraków was the official capital of Poland until 1596 ...
, and in 1895 he traveled to
Berlin Berlin ( , ) is the capital and largest city of Germany by both area and population. Its 3.7 million inhabitants make it the European Union's most populous city, according to population within city limits. One of Germany's sixteen constitue ...
to study higher level
geodesy Geodesy ( ) is the Earth science of accurately measuring and understanding Earth's figure (geometric shape and size), orientation in space, and gravity. The field also incorporates studies of how these properties change over time and equivale ...
. He later returned to Kraków where, he was named assistant professor and, in 1898, full professor of mathematics at Jagiellonian where he taught higher analysis, geometry (analytic, differential and projective), theory of algebraic curves and theory of singularities. In 1900 he was elected a member of the
Academy of Learning Academy of Learning ( pl, Akademia Umiejętności; AU) was a primary Polish scientific institution during the annexation of Poland established in 1871. It was founded in Kraków as a continuation of the ''Kraków Scientific Society'' (''Towarzystw ...
(from 1919
Polish Academy of Learning The Polish Academy of Arts and Sciences or Polish Academy of Learning ( pl, Polska Akademia Umiejętności), headquartered in Kraków and founded in 1872, is one of two institutions in contemporary Poland having the nature of an academy of scien ...
) in Kraków. In 1905, Żorawski became a Dean of the Faculty of philosophy at the Jagiellonian University in Kraków, and in 1910, he became an associate member of the
Czech Academy of Sciences The Czech Academy of Sciences (abbr. CAS, cs, Akademie věd České republiky, abbr. AV ČR) was established in 1992 by the Czech National Council as the Czech successor of the former Czechoslovak Academy of Sciences and its tradition goes back ...
in
Prague Prague ( ; cs, Praha ; german: Prag, ; la, Praga) is the capital and largest city in the Czech Republic, and the historical capital of Bohemia. On the Vltava river, Prague is home to about 1.3 million people. The city has a temperate ...
. In 1911, he became a president of the Societies of the Scientific Committee. Two years later he took part in the Organizational Committee of Academy of Maining in Kraków. From 1917 to 1918, he was a rector and from 1918 to 1919 vice-rector of the Jagiellonian University In 1919, Żorawski settled in Warsaw where he became a full professor in mathematics at the
Warsaw University of Technology The Warsaw University of Technology ( pl, Politechnika Warszawska, lit=Varsovian Polytechnic) is one of the leading institutes of technology in Poland and one of the largest in Central Europe. It employs 2,453 teaching faculty, with 357 professor ...
, while at the same time teaching courses on the application of geometric analysis at the University of Warsaw. That same year he became a member of the Polish Society of Mathematics. In 1920, Żorawski was elected to th
Warsaw Society of Science and Letters
and from 1926 to 1931, served as its president. To honor his services, the Society struck a commemorative medal (see picture) in 1931. At the same time, he became an active member of the Warsaw Technical Academy of Science, and in 1926, a full professor of mathematics at the University of Warsaw. He was a Polish delegate for the
International Committee on Intellectual Cooperation The International Committee on Intellectual Cooperation, sometimes League of Nations Committee on Intellectual Cooperation, was an advisory organization for the League of Nations which aimed to promote international exchange between scientists, r ...
which was formally established in January 1922 (Marie Curie was a prominent member of this organization). Żorawski announced his retirement in 1935 after 46 years devoted to professorship. Upon his retirement, the University of Warsaw conferred upon him the title of Professor Emeritus in mathematics and natural science. Both before
World War II World War II or the Second World War, often abbreviated as WWII or WW2, was a world war that lasted from 1939 to 1945. It involved the vast majority of the world's countries—including all of the great powers—forming two opposin ...
and during the Nazi occupation of Poland, Professor Żorawski worked on analytical geometry, primarily in the area of first- and second-degree plane figures and differential properties of real andicomplex plane figures. His work was three-quarters completed when the Warsaw Uprising occurred. Żorawski, like tens of thousands of Warsaw residents, was expelled from the capital and sent to Pruszków. His apartment, which contained all of his property, including many of his scientific papers, was destroyed by fire. Upon his release from the camp of Pruszków along with a group of other scientists, Zorawski took refuge in Nieborów, staying at the home of the Radziwill family. After the
Red Army The Workers' and Peasants' Red Army (Russian: Рабо́че-крестья́нская Кра́сная армия),) often shortened to the Red Army, was the army and air force of the Russian Soviet Federative Socialist Republic and, after ...
occupied Poland, Żorawski returned to a destroyed Warsaw and lived for a time with his daughter Leokadia Paprocka. Shortly thereafter, the Ministry for Education gave him a small bedroom with a kitchen at the Students House at the Narutowicz Square in Warsaw, one of the few buildings not destroyed by the Germans during the war. There he rewrote the nearly two-thirds (2650 pages) of his work that had been destroyed during the
Warsaw Uprising The Warsaw Uprising ( pl, powstanie warszawskie; german: Warschauer Aufstand) was a major World War II operation by the Polish resistance movement in World War II, Polish underground resistance to liberate Warsaw from German occupation. It occ ...
. In 1952, Żorawski was named a full member of the Polish Academy of Sciences. He was also decorated with the Commander's Cross of the
Order of Polonia Restituta The Order of Polonia Restituta ( pl, Order Odrodzenia Polski, en, Order of Restored Poland) is a Polish state decoration, state Order (decoration), order established 4 February 1921. It is conferred on both military and civilians as well as on al ...
and the
Gold Cross of Merit The Cross of Merit () is a Polish civil state decoration established on 23 June 1923, to recognize services to the state. History At the time of its establishment in 1923, the Cross of Merit was the highest civilian award in Poland. It was awa ...
. Żorawski died in 1953. After his death, the importance of his work to the development of Polish mathematics was recognized by many scientists. A telegram addressed to his family by
Bronisław Knaster Bronisław Knaster (22 May 1893 – 3 November 1980) was a Polish mathematician; from 1939 a university professor in Lwów and from 1945 in Wrocław. He is known for his work in point-set topology and in particular for his discoveries in 1922 of ...
,
Edward Marczewski Edward Marczewski (15 November 1907 – 17 October 1976) was a Polish mathematician. He was born Szpilrajn but changed his name while hiding from Nazi persecution. Marczewski was a member of the Warsaw School of Mathematics. His life and work aft ...
,
Hugo Steinhaus Hugo Dyonizy Steinhaus ( ; ; January 14, 1887 – February 25, 1972) 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 Unive ...
, and
Władysław Ślebodziński Władysław Ślebodziński () (February 6, 1884 – January 3, 1972) was a Polish mathematician. Władysław Ślebodziński was born in Pysznica, Poland and educated at the Jagiellonian University in Kraków (1903-1908) where he subsequently he ...
expressed this recognition: " wish to express to the family of Professor Kazimierz Żorawski our deep compassion. He was the first of the scientists of his generation to bring the name of Poland to the forefront of world mathematics."


Accomplishments

Kazimierz Żorawski dealt with a particularly difficult field of mathematics – continuous invariants of Lie groups, and the results of his work have been applied to other fields of mathematics and science, especially differential equations, geometry and physics. The seventy scientific works of Professor Żorawski relate mainly to analytical geometry, differential geometry, Lie groups, differential equations, kinematics of continuous symmetry, and non-Euclidean complex geometry.


Kraków School of Mathematics

At the turn of the 20th century, groups of mathematicians worked in the Polish scientific centers of Lwów, Kraków and Warsaw and created the "mathematical Schools" of Warsaw, Lwów and Kraków. Kazimierz Żorawski, along with Stanisław Zaremba, (both faculty members of Jagiellonian University) was a cofounder of the
Kraków School of Mathematics The Kraków School of Mathematics ( pl, krakowska szkoła matematyczna) was a subgroup of the Polish School of Mathematics represented by mathematicians from the Kraków universities—Jagiellonian University, and the AGH University of Science and ...
, to which professors
Franciszek Leja Franciszek Leja (27 January 1885 in Grodzisko Górne near Leżajsk – 11 October 1979 in Kraków, Poland) was a Polish mathematician. He was born to a poor peasant family in the southeastern Poland. After graduating from the University of L ...
, Władysław Ślebodziński and
Tadeusz Ważewski Tadeusz Ważewski (24 September 1896 – 5 September 1972) was a Polish mathematician. Ważewski made important contributions to the theory of ordinary differential equations, partial differential equations, control theory and the theory of analy ...
also belonged. Thus, Jagiellonian became the center of traditional analysis of differential equations and analytical functions.


Polish Mathematical Society

On April 2, 1919, Żorawski chaired the inaugural meeting, in Kraków, of the Mathematical Society, which soon changed its name to the
Polish Mathematical Society The Polish Mathematical Society ( pl, Polskie Towarzystwo Matematyczne) is the main professional society of Polish mathematicians and represents Polish mathematics within the European Mathematical Society (EMS) and the International Mathematical Un ...
. Żorawski is considered one of the key founders of this Society.


Development of Polish mathematics

In 1958, Polish Mathematical Society member
Władysław Ślebodziński Władysław Ślebodziński () (February 6, 1884 – January 3, 1972) was a Polish mathematician. Władysław Ślebodziński was born in Pysznica, Poland and educated at the Jagiellonian University in Kraków (1903-1908) where he subsequently he ...
recalled the importance of the role played by Stanisław Zaremba and Kazimierz Żorawski in the development of Polish mathematics:


Lie groups

Żorawski was a student of eminent Norwegian professor
Sophus Lie Marius Sophus Lie ( ; ; 17 December 1842 – 18 February 1899) was a Norwegian mathematician. He largely created the theory of continuous symmetry and applied it to the study of geometry and differential equations. Life and career Marius Sophu ...
, the author of the theory of continuous groups (Lie groups). Żorawski developed several areas close to the theory of Lie groups and other theories which were based upon it—in particular the theories of differential equations and differential geometry, as well as topics from the theory of integral invariants (new at that time), and selected problems of kinematics. While a professor in Leipzig, Lie wrote the following regarding Żorawski's work devoted to Lie groups:


Personal life

In 1863, Żorawski's mother, Kazimiera, took part in the
January Uprising The January Uprising ( pl, powstanie styczniowe; lt, 1863 metų sukilimas; ua, Січневе повстання; russian: Польское восстание; ) was an insurrection principally in Russia's Kingdom of Poland that was aimed at ...
against the
Russian Empire The Russian Empire was an empire and the final period of the Russian monarchy from 1721 to 1917, ruling across large parts of Eurasia. It succeeded the Tsardom of Russia following the Treaty of Nystad, which ended the Great Northern War. ...
. This uprising started as a spontaneous protest by young Poles against
conscription Conscription (also called the draft in the United States) is the state-mandated enlistment of people in a national service, mainly a military service. Conscription dates back to antiquity and it continues in some countries to the present day un ...
into the Russian Army and was soon joined by various politicians and high ranking Polish officers from the tsarist army. While the uprising failed militarily, it did succeed in blunting the effect of the Tsar's abolition of serfdom in the Russian partition. Kazimiera was captured and imprisoned by the Russian authorities, and her father was imprisoned in the citadel at Warsaw, where he later died. Żorawski had five siblings, one of whom, Stanislaw, became proprietor of the Obrebiec Estate, near Przasnysz. In 1940, his property was seized by the Nazis and Stanislaw was arrested and interned at the
Mauthausen-Gusen Mauthausen was a Nazi concentration camp on a hill above the market town of Mauthausen, Upper Austria, Mauthausen (roughly east of Linz), Upper Austria. It was the main camp of a group with List of subcamps of Mauthausen, nearly 100 further ...
concentration camp, where he died. Żorawski fell in with love with the family governess,
Maria Skłodowska Marie Salomea Skłodowska–Curie ( , , ; born Maria Salomea Skłodowska, ; 7 November 1867 – 4 July 1934) was a Polish and naturalized-French physicist and chemist who conducted pioneering research on radioactivity. She was the first ...
(later better known as
Marie Curie Marie Salomea Skłodowska–Curie ( , , ; born Maria Salomea Skłodowska, ; 7 November 1867 – 4 July 1934) was a Polish and naturalized-French physicist and chemist who conducted pioneering research on radioactivity. She was the first ...
), whose father was a relative of the Żorawskis. The two discussed marriage, but Żorawski's parents rejected Maria due to her family's poverty. Nevertheless, their hopes of marriage continued until 1891, when a dispirited Maria moved to Warsaw and then to Paris, where she eventually married
Pierre Curie Pierre Curie ( , ; 15 May 1859 – 19 April 1906) was a French physicist, a pioneer in crystallography, magnetism, piezoelectricity, and radioactivity. In 1903, he received the Nobel Prize in Physics with his wife, Marie Curie, and Henri Becqu ...
and earned two
Nobel prize The Nobel Prizes ( ; sv, Nobelpriset ; no, Nobelprisen ) are five separate prizes that, according to Alfred Nobel's will of 1895, are awarded to "those who, during the preceding year, have conferred the greatest benefit to humankind." Alfr ...
s. Żorawski married Leokadia Jewniewicz, a well-known pianist. Her father, Hipolit, was a professor at the Institute of Technology in
St. Petersburg Saint Petersburg ( rus, links=no, Санкт-Петербург, a=Ru-Sankt Peterburg Leningrad Petrograd Piter.ogg, r=Sankt-Peterburg, p=ˈsankt pʲɪtʲɪrˈburk), formerly known as Petrograd (1914–1924) and later Leningrad (1924–1991), i ...
, specializing in applied mathematics. One of his works, "The Theory of Elasticity", was published posthumously in Warsaw in 1910. Żorawski and his wife had three children: Juliusz, Leokadia, and Maria. Juliusz became a well-known architect, often compared with
Le Corbusier Charles-Édouard Jeanneret (6 October 188727 August 1965), known as Le Corbusier ( , , ), was a Swiss-French architect, designer, painter, urban planner, writer, and one of the pioneers of what is now regarded as modern architecture. He was ...
; after
World War II World War II or the Second World War, often abbreviated as WWII or WW2, was a world war that lasted from 1939 to 1945. It involved the vast majority of the world's countries—including all of the great powers—forming two opposin ...
he was a professor of architecture at the Kraków Polytechnic.


See also

*
List of Poles This is a partial list of notable Polish or Polish-speaking or -writing people. People of partial Polish heritage have their respective ancestries credited. Science Physics * Czesław Białobrzeski * Andrzej Buras * Georges Charpak ...


References


Żorawski biography
(In Polish)

*W.Ślebodziński, Kazimierz Żorawski
n Polish N, or n, is the fourteenth Letter (alphabet), letter in the Latin alphabet, used in the English alphabet, modern English alphabet, the alphabets of other western European languages and others worldwide. Its name in English is English alphabet# ...
n:Studia z dziejów katedr Wydziału Matematyki, Fizyki, Chemii Uniwersytetu Jagiellońskiego, S.Gołąb ed.,Kraków 1964, 87–101.
Curie bio


External links


The Mathematics Genealogy Project – Franciszek Leja
{{DEFAULTSORT:Zorawski, Kazimierz 1866 births 1953 deaths People from Maków County University of Warsaw alumni Jagiellonian University alumni Warsaw University of Technology faculty 19th-century Polish mathematicians 20th-century Polish mathematicians Commanders of the Order of Polonia Restituta Recipients of the Gold Cross of Merit (Poland) Rectors of the Jagiellonian University