Alexander Weinstein
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Alexander Weinstein (21 January 1897 – 6 November 1979) was a mathematician who worked on
boundary value problem In the study of differential equations, a boundary-value problem is a differential equation subjected to constraints called boundary conditions. A solution to a boundary value problem is a solution to the differential equation which also satis ...
s in
fluid dynamics In physics, physical chemistry and engineering, fluid dynamics is a subdiscipline of fluid mechanics that describes the flow of fluids – liquids and gases. It has several subdisciplines, including (the study of air and other gases in motion ...
.


Early life, family and personal life

Weinstein was born to Judel Jejb Weinstein and Praskovya Levkovich, his family was
Jewish Jews (, , ), or the Jewish people, are an ethnoreligious group and nation, originating from the Israelites of History of ancient Israel and Judah, ancient Israel and Judah. They also traditionally adhere to Judaism. Jewish ethnicity, rel ...
, and his father was a doctor. His family moved to
Astrakhan Astrakhan (, ) is the largest city and administrative centre of Astrakhan Oblast in southern Russia. The city lies on two banks of the Volga, in the upper part of the Volga Delta, on eleven islands of the Caspian Depression, from the Caspian Se ...
, but later decided to emigrate to
Germany Germany, officially the Federal Republic of Germany, is a country in Central Europe. It lies between the Baltic Sea and the North Sea to the north and the Alps to the south. Its sixteen States of Germany, constituent states have a total popu ...
, there Weinstein completed his schooling, having studied first in
Würzburg Würzburg (; Main-Franconian: ) is, after Nuremberg and Fürth, the Franconia#Towns and cities, third-largest city in Franconia located in the north of Bavaria. Würzburg is the administrative seat of the Regierungsbezirk Lower Franconia. It sp ...
, then at the
University of Göttingen The University of Göttingen, officially the Georg August University of Göttingen (, commonly referred to as Georgia Augusta), is a Public university, public research university in the city of Göttingen, Lower Saxony, Germany. Founded in 1734 ...
during 1913/14. After his graduation, he left for
Zürich Zurich (; ) is the list of cities in Switzerland, largest city in Switzerland and the capital of the canton of Zurich. It is in north-central Switzerland, at the northwestern tip of Lake Zurich. , the municipality had 448,664 inhabitants. The ...
and soon undertook research for
Hermann Weyl Hermann Klaus Hugo Weyl (; ; 9 November 1885 – 8 December 1955) was a German mathematician, theoretical physicist, logician and philosopher. Although much of his working life was spent in Zürich, Switzerland, and then Princeton, New Jersey, ...
and
Rudolf Fueter Karl Rudolf Fueter (30 June 1880 – 9 August 1950) was a Swiss mathematician, known for his work on number theory. Biography After a year of graduate study of mathematics in Basel, Fueter began study in 1899 at the University of Göttingen and ...
and was awarded a
doctorate A doctorate (from Latin ''doctor'', meaning "teacher") or doctoral degree is a postgraduate academic degree awarded by universities and some other educational institutions, derived from the ancient formalism '' licentia docendi'' ("licence to teach ...
in 1921 for his thesis on the
tensor calculus In mathematics, a tensor is an algebraic object that describes a multilinear relationship between sets of algebraic objects associated with a vector space. Tensors may map between different objects such as vectors, scalars, and even other ...
and linear groups of matrices.
Weyl Hermann Klaus Hugo Weyl (; ; 9 November 1885 – 8 December 1955) was a German mathematician, theoretical physicist, logician and philosopher. Although much of his working life was spent in Zürich, Switzerland, and then Princeton, New Jersey, ...
suggested Weinstein to several prominent mathematicians, including Paul Sophus Epstein, who was then worked at the
California Institute of Technology The California Institute of Technology (branded as Caltech) is a private research university in Pasadena, California, United States. The university is responsible for many modern scientific advancements and is among a small group of institutes ...
. In the end, Weinstein worked as an assistant of Leon Lichtenstein at the
University of Leipzig Leipzig University (), in Leipzig in Saxony, Germany, is one of the world's oldest universities and the second-oldest university (by consecutive years of existence) in Germany. The university was founded on 2 December 1409 by Frederick I, Electo ...
in 1922. In 1924, Weinstein returned to
Zürich Zurich (; ) is the list of cities in Switzerland, largest city in Switzerland and the capital of the canton of Zurich. It is in north-central Switzerland, at the northwestern tip of Lake Zurich. , the municipality had 448,664 inhabitants. The ...
and continued his research into
hydrodynamics In physics, physical chemistry and engineering, fluid dynamics is a subdiscipline of fluid mechanics that describes the flow of fluids – liquids and gases. It has several subdisciplines, including (the study of air and other gases in ...
, he published two works on the matter. Weinstein was a target of
xenophobia Xenophobia (from (), 'strange, foreign, or alien', and (), 'fear') is the fear or dislike of anything that is perceived as being foreign or strange. It is an expression that is based on the perception that a conflict exists between an in-gr ...
, so he struggled to find a "scientific position adequate to his abilities in Switzerland", as such
Weyl Hermann Klaus Hugo Weyl (; ; 9 November 1885 – 8 December 1955) was a German mathematician, theoretical physicist, logician and philosopher. Although much of his working life was spent in Zürich, Switzerland, and then Princeton, New Jersey, ...
recommended Weinstein for a Rockfeller Fellowship, with him being awarded it, and spent two years (1926/27) in
Rome Rome (Italian language, Italian and , ) is the capital city and most populated (municipality) of Italy. It is also the administrative centre of the Lazio Regions of Italy, region and of the Metropolitan City of Rome. A special named with 2, ...
, where he worked with Tulio Levi-Civita. With Levi-Civita, Weinstein published three more works before he returned to
Zürich Zurich (; ) is the list of cities in Switzerland, largest city in Switzerland and the capital of the canton of Zurich. It is in north-central Switzerland, at the northwestern tip of Lake Zurich. , the municipality had 448,664 inhabitants. The ...
as a privatdocent in Weyl's chair, then in 1928 he was appointed to the Hamburg Technical University, he also joined the
German Mathematical Society The German Mathematical Society (, DMV) is the main professional society of German mathematicians and represents German mathematics within the European Mathematical Society (EMS) and the International Mathematical Union (IMU). It was founded in ...
. He married Marianne Olga Louise Ganz on 13 March 1928 in
Hamburg Hamburg (, ; ), officially the Free and Hanseatic City of Hamburg,. is the List of cities in Germany by population, second-largest city in Germany after Berlin and List of cities in the European Union by population within city limits, 7th-lar ...
, they did not have any children. By 1933, he was sought by
Albert Einstein Albert Einstein (14 March 187918 April 1955) was a German-born theoretical physicist who is best known for developing the theory of relativity. Einstein also made important contributions to quantum mechanics. His mass–energy equivalence f ...
as a collaborator in
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 ...
, however after the electoral success of the
Nazi Party The Nazi Party, officially the National Socialist German Workers' Party ( or NSDAP), was a far-right politics, far-right political party in Germany active between 1920 and 1945 that created and supported the ideology of Nazism. Its precursor ...
, Weinstein, being of
Jewish Jews (, , ), or the Jewish people, are an ethnoreligious group and nation, originating from the Israelites of History of ancient Israel and Judah, ancient Israel and Judah. They also traditionally adhere to Judaism. Jewish ethnicity, rel ...
background, instead went to Sorbonne and the
Collège de France The (), formerly known as the or as the ''Collège impérial'' founded in 1530 by François I, is a higher education and research establishment () in France. It is located in Paris near La Sorbonne. The has been considered to be France's most ...
in
Paris Paris () is the Capital city, capital and List of communes in France with over 20,000 inhabitants, largest city of France. With an estimated population of 2,048,472 residents in January 2025 in an area of more than , Paris is the List of ci ...
, where he worked with
Jacques Hadamard Jacques Salomon Hadamard (; 8 December 1865 – 17 October 1963) was a French mathematician who made major contributions in number theory, complex analysis, differential geometry, and partial differential equations. Biography The son of a tea ...
. He was awarded the degree of Docteur ès Sciences Mathématiques in 1937, and spent a few semesters in
England England is a Countries of the United Kingdom, country that is part of the United Kingdom. It is located on the island of Great Britain, of which it covers about 62%, and List of islands of England, more than 100 smaller adjacent islands. It ...
, at the
University of Cambridge The University of Cambridge is a Public university, public collegiate university, collegiate research university in Cambridge, England. Founded in 1209, the University of Cambridge is the List of oldest universities in continuous operation, wo ...
, and the
University of London The University of London (UoL; abbreviated as Lond or more rarely Londin in Post-nominal letters, post-nominals) is a collegiate university, federal Public university, public research university located in London, England, United Kingdom. The ...
, before returning to
Paris Paris () is the Capital city, capital and List of communes in France with over 20,000 inhabitants, largest city of France. With an estimated population of 2,048,472 residents in January 2025 in an area of more than , Paris is the List of ci ...
. In May 1940, after the Nazi invasion of France, Weinstein and his wife fled to
Portugal Portugal, officially the Portuguese Republic, is a country on the Iberian Peninsula in Southwestern Europe. Featuring Cabo da Roca, the westernmost point in continental Europe, Portugal borders Spain to its north and east, with which it share ...
with the hope they could seek refuge to the
United States The United States of America (USA), also known as the United States (U.S.) or America, is a country primarily located in North America. It is a federal republic of 50 U.S. state, states and a federal capital district, Washington, D.C. The 48 ...
. They arrived in New York on 26 October 1940, and lived at 22 West 75th Street, for the next eight years Weinstein taught at a number of different places, and became a citizen in 1946. Together with Monroe Martin, an expert on classical analysis and
fluid dynamics In physics, physical chemistry and engineering, fluid dynamics is a subdiscipline of fluid mechanics that describes the flow of fluids – liquids and gases. It has several subdisciplines, including (the study of air and other gases in motion ...
, he founded the Institute of Fluid Dynamics and Applied Mathematics (later renamed the Institute of Physical Science and Technology) at
Maryland Maryland ( ) is a U.S. state, state in the Mid-Atlantic (United States), Mid-Atlantic region of the United States. It borders the states of Virginia to its south, West Virginia to its west, Pennsylvania to its north, and Delaware to its east ...
in 1949. Weinstein's research covered numerous topics, he is famous for having solved Helmholtz's problem for jets, giving the first uniqueness and existence theorem for free jets in his papers from 1923 to 1929, and he examined many boundary problems, whilst giving hydrodynamic and electromagnetic applications. Weinstein's method was later developed to give accurate bounds of
eigenvalues In linear algebra, an eigenvector ( ) or characteristic vector is a vector that has its direction unchanged (or reversed) by a given linear transformation. More precisely, an eigenvector \mathbf v of a linear transformation T is scaled by a ...
of plates and membranes, and he introduced a new branch of
potential theory In mathematics and mathematical physics, potential theory is the study of harmonic functions. The term "potential theory" was coined in 19th-century physics when it was realized that the two fundamental forces of nature known at the time, namely g ...
through his examination of singular
partial differential equation In mathematics, a partial differential equation (PDE) is an equation which involves a multivariable function and one or more of its partial derivatives. The function is often thought of as an "unknown" that solves the equation, similar to ho ...
s. Weinstein retired in 1967, yet continued research at the
American University The American University (AU or American) is a Private university, private University charter#Federal, federally chartered research university in Washington, D.C., United States. Its main campus spans 90-acres (36 ha) on Ward Circle, in the Spri ...
in Washington D.C., he worked from 1968 to 1972 at
Georgetown University Georgetown University is a private university, private Jesuit research university in Washington, D.C., United States. Founded by Bishop John Carroll (archbishop of Baltimore), John Carroll in 1789, it is the oldest Catholic higher education, Ca ...
. In 1972, Weinstein published alongsid
William Stenger
the book ''Methods of Intermediate problems for eigenvalues'', and then in 1978, when Weinstein was eighty years old, Joe D Diaz made a collection of Weinstein's writings. He died on 6 November 1979, following a surgical operation.


Publications

*with Nathan Aronszajn: ** ** * * A selection of Alexander Weinstein's scientific contributions was edited by J. B. Díaz and published as: *


References

{{DEFAULTSORT:Weinstein, Alexander 20th-century American mathematicians 1897 births 1979 deaths Scientists from Würzburg