Paulin Kazimierz Stefan 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, mathematical structure, structure, space, Mathematica ...
. 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, such that group multiplication and taking inverses are both differentiable.
A manifold is a space that locally resembles Euclidean space, whereas ...
,
differential geometry
Differential geometry is a Mathematics, mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds. It uses the techniques of Calculus, single variable calculus, vector calculus, lin ...
and
fluid mechanics
Fluid mechanics is the branch of physics concerned with the mechanics of fluids (liquids, gases, and plasma (physics), plasmas) and the forces on them.
Originally applied to water (hydromechanics), it found applications in a wide range of discipl ...
. His work in these disciplines was to prove important in other fields of mathematics and science, such as
differential equations,
geometry
Geometry (; ) is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Geometry is, along with arithmetic, one of the oldest branches of mathematics. A mathematician w ...
and
physics
Physics is the scientific study of matter, its Elementary particle, 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 whi ...
(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, James Keeler, said, astrophysics "seeks to ascertain the ...
and
cosmology
Cosmology () is a branch of physics and metaphysics dealing with the nature of the universe, the cosmos. The term ''cosmology'' was first used in English in 1656 in Thomas Blount's ''Glossographia'', with the meaning of "a speaking of the wo ...
).
Biography
Kazimierz Żorawski was born in Szczurzyn near
Ciechanów, in the
Russian Empire
The Russian Empire was an empire that spanned most of northern Eurasia from its establishment in November 1721 until the proclamation of the Russian Republic in September 1917. At its height in the late 19th century, it covered about , roughl ...
, now in
Poland
Poland, officially the Republic of Poland, is a country in Central Europe. It extends from the Baltic Sea in the north to the Sudetes and Carpathian Mountains in the south, bordered by Lithuania and Russia to the northeast, Belarus and Ukrai ...
, to Juliusz Bronisław Wiktor Żórawski and Kazimiera Żórawska. In 1884 he completed secondary school in
Warsaw
Warsaw, officially the Capital City of Warsaw, is the capital and List of cities and towns in Poland, largest city of Poland. The metropolis stands on the Vistula, River Vistula in east-central Poland. Its population is officially estimated at ...
. From 1884 to 1888 he studied mathematics at the
University of Warsaw
The University of Warsaw (, ) is a public university, public research university in Warsaw, Poland. Established on November 19, 1816, it is the largest institution of higher learning in the country, offering 37 different fields of study as well ...
. 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 formulations of classical mechanics. Analytical mechanics uses '' scalar'' properties of motion representing the sy ...
in
Leipzig
Leipzig (, ; ; Upper Saxon: ; ) is the most populous city in the States of Germany, German state of Saxony. The city has a population of 628,718 inhabitants as of 2023. It is the List of cities in Germany by population, eighth-largest city in Ge ...
, and differential equations in
Göttingen
Göttingen (, ; ; ) 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. According to the 2022 German census, 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 (, UJ) is a public research university in Kraków, Poland. Founded in 1364 by Casimir III the Great, King Casimir III the Great, it is the oldest university in Poland and one of the List of oldest universities in con ...
in
Kraków
, officially the Royal Capital City of Kraków, is the List of cities and towns in Poland, second-largest and one of the oldest cities in Poland. Situated on the Vistula River in Lesser Poland Voivodeship, the city has a population of 804,237 ...
, and in 1895 he traveled to
Berlin
Berlin ( ; ) is the Capital of Germany, capital and largest city of Germany, by both area and List of cities in Germany by population, population. With 3.7 million inhabitants, it has the List of cities in the European Union by population withi ...
to study higher level
geodesy
Geodesy or geodetics is the science of measuring and representing the Figure of the Earth, geometry, Gravity of Earth, gravity, and Earth's rotation, spatial orientation of the Earth in Relative change, temporally varying Three-dimensional spac ...
. 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 (from 1919
Polish Academy of Learning) 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, , 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 to the Royal Bohemian Society of Sc ...
in
Prague
Prague ( ; ) is the capital and List of cities and towns in the Czech Republic, largest city of the Czech Republic and the historical capital of Bohemia. Prague, located on the Vltava River, has a population of about 1.4 million, while its P ...
. 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 () 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 professors (including 145 titular professors). The student body ...
, 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 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 (1 September 1939 – 2 September 1945) was a World war, global conflict between two coalitions: the Allies of World War II, Allies and the Axis powers. World War II by country, Nearly all of the wo ...
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, often shortened to the Red Army, was the army and air force of the Russian Soviet Republic and, from 1922, the Soviet Union. The army was established in January 1918 by a decree of the Council of People ...
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 (; ), sometimes referred to as the August Uprising (), or the Battle of Warsaw, was a major World War II operation by the Polish resistance movement in World War II, Polish underground resistance to liberate Warsaw from ...
.
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 (, ) 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 alien (law), foreigners for outstanding achievements in ...
and the
Gold Cross of Merit.
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,
Edward Marczewski,
Hugo Steinhaus, and
Władysław Ślebodziński 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, to which professors
Franciszek Leja, Władysław Ślebodziński and
Tadeusz Ważewski 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. Żorawski is considered one of the key founders of this Society.
Development of Polish mathematics
In 1958, Polish Mathematical Society member
Władysław Ślebodziński 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. He also made substantial cont ...
, 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 was an insurrection principally in Russia's Kingdom of Poland that was aimed at putting an end to Russian occupation of part of Poland and regaining independence. It began on 22 January 1863 and continued until the last i ...
against the
Russian Empire
The Russian Empire was an empire that spanned most of northern Eurasia from its establishment in November 1721 until the proclamation of the Russian Republic in September 1917. At its height in the late 19th century, it covered about , roughl ...
. This uprising started as a spontaneous protest by young Poles against
conscription
Conscription, also known as the draft in the United States and Israel, is the practice in which the compulsory enlistment in a national service, mainly a military service, is enforced by law. Conscription dates back to antiquity and it conti ...
into the Russian Army and was soon joined by politicians and high ranking Polish officers from the tsarist army. While the uprising failed militarily, it succeeded 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 concentration camp, where he died.
Żorawski fell in love with the family governess,
Maria Skłodowska (later better known as
Marie Curie
Maria Salomea Skłodowska-Curie (; ; 7 November 1867 – 4 July 1934), known simply as Marie Curie ( ; ), was a Polish and naturalised-French physicist and chemist who conducted pioneering research on radioactivity.
She was List of female ...
), 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, Radiochemistry, radiochemist, and a pioneer in crystallography, magnetism, piezoelectricity, and radioactivity. He shared the 1903 Nobel Prize in Physics with his wife, ...
and earned two
Nobel Prize
The Nobel Prizes ( ; ; ) are awards administered by the Nobel Foundation and granted in accordance with the principle of "for the greatest benefit to humankind". The prizes were first awarded in 1901, marking the fifth anniversary of Alfred N ...
s.
Żorawski married Leokadia Jewniewicz, a pianist. Her father, Hipolit, was a professor at the Institute of Technology in
St. Petersburg, 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 an architect, often compared with
Le Corbusier
Charles-Édouard Jeanneret (6 October 188727 August 1965), known as Le Corbusier ( , ; ), was a Swiss-French architectural designer, painter, urban planner and writer, who was one of the pioneers of what is now regarded as modern architecture ...
; after
World War II
World War II or the Second World War (1 September 1939 – 2 September 1945) was a World war, global conflict between two coalitions: the Allies of World War II, Allies and the Axis powers. World War II by country, Nearly all of the wo ...
he was a professor of architecture at the
Kraków Polytechnic.
See also
*
List of Poles
This is a partial list of notable Polish people, Polish or Polish language, Polish-speaking or -writing people. People of partial Polish heritage have their respective ancestries credited.
Physics
*Miedziak Antal
* Czesław Białobrzesk ...
References
Żorawski biography(In Polish)
*W.Ślebodziński, Kazimierz Żorawski
n Polish 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
Academic staff of the Warsaw University of Technology
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
Mathematicians from the Russian Empire