Dirk Struik
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Dirk Jan Struik (September 30, 1894 – October 21, 2000) was a Dutch-born American (since 1934)
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 ...
,
historian A historian is a person who studies and writes about the past and is regarded as an authority on it. Historians are concerned with the continuous, methodical narrative and research of past events as relating to the human species; as well as the ...
of
mathematics Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many ar ...
, and
Marxist Marxism is a political philosophy and method of socioeconomic analysis. It uses a dialectical and materialist interpretation of historical development, better known as historical materialism, to analyse class relations, social conflic ...
theoretician who spent most of his life in the U.S.


Early life

Dirk Jan Struik was born in 1894 in
Rotterdam Rotterdam ( , ; ; ) is the second-largest List of cities in the Netherlands by province, city in the Netherlands after the national capital of Amsterdam. It is in the Provinces of the Netherlands, province of South Holland, part of the North S ...
, Netherlands. His father Hendrik Jan Struik was a grammar school teacher with a passion for mathematics and history. Nearly a century later when Dirk received a Kenneth O. May Medal, he began his acceptance speech with a tribute to Hendrik for cultivating his son's appetite for knowledge. From 1906 to 1911, Dirk attended the Hogere Burgers School in Rotterdam, where he was introduced to
left-wing politics Left-wing politics describes the range of Ideology#Political ideologies, political ideologies that support and seek to achieve social equality and egalitarianism, often in opposition to social hierarchy either as a whole or of certain social ...
and
socialism Socialism is an economic ideology, economic and political philosophy encompassing diverse Economic system, economic and social systems characterised by social ownership of the means of production, as opposed to private ownership. It describes ...
by a favorite math teacher, G. W. Ten Dam. After entering the
University of Leiden Leiden University (abbreviated as ''LEI''; ) is a public research university in Leiden, Netherlands. Established in 1575 by William, Prince of Orange as a Protestant institution, it holds the distinction of being the oldest university in the Neth ...
in 1912, Struik showed a strong aptitude for mathematics 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 ...
. He was taught by the eminent professors
Willem de Sitter Willem de Sitter (6May 187220November 1934) was a Dutch mathematician, physicist, and astronomer. He is known for the de Sitter universe is a cosmological model, which was named after him. Life and work Born in Sneek, Netherlands, de Sitte ...
,
Hendrik Lorentz Hendrik Antoon Lorentz ( ; ; 18 July 1853 – 4 February 1928) was a Dutch theoretical physicist who shared the 1902 Nobel Prize in Physics with Pieter Zeeman for their discovery and theoretical explanation of the Zeeman effect. He derive ...
and
Paul Ehrenfest Paul Ehrenfest (; 18 January 1880 – 25 September 1933) was an Austrian Theoretical physics, theoretical physicist who made major contributions to statistical mechanics and its relation to quantum physics, quantum mechanics, including the theory ...
. The unconventional Ehrenfest was said to have exerted the greatest influence on Struik's thinking. In 1917, to help cover university expenses, Struik worked for a while as a high school math teacher. He was next hired as a research assistant to J. A. Schouten, a distinguished mathematics professor at the Technical University in Delft. During this period, Struik developed his doctoral dissertation, "The Application of
Tensor 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 ...
Methods to Riemannian Manifolds." In 1922, Struik obtained a doctorate in mathematics from University of Leiden. He was appointed to a teaching position at
University of Utrecht Utrecht University (UU; , formerly ''Rijksuniversiteit Utrecht'') is a public research university in Utrecht, Netherlands. Established , it is one of the oldest universities in the Netherlands. In 2023, it had an enrollment of 39,769 students, a ...
in 1923. That same year he married Saly Ruth Ramler, a Czech mathematician with a doctorate from the Charles University of Prague. They remained married until her death in 1993.


Career

In 1924, funded by a Rockefeller fellowship, Struik traveled to
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, ...
to collaborate with the Italian mathematician
Tullio Levi-Civita Tullio Levi-Civita, (; ; 29 March 1873 – 29 December 1941) was an Italian mathematician, most famous for his work on absolute differential calculus ( tensor calculus) and its applications to the theory of relativity, but who also made signifi ...
. It was in Rome that Struik started pursuing his interest in the
history of mathematics The history of mathematics deals with the origin of discoveries in mathematics and the History of mathematical notation, mathematical methods and notation of the past. Before the modern age and the worldwide spread of knowledge, written examples ...
. In 1925, thanks to an extension of his fellowship, he worked with
Richard Courant Richard Courant (January 8, 1888 – January 27, 1972) was a German-American mathematician. He is best known by the general public for the book '' What is Mathematics?'', co-written with Herbert Robbins. His research focused on the areas of real ...
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 ...
, where Struik got the opportunity to edit
Felix Klein Felix Christian Klein (; ; 25 April 1849 – 22 June 1925) was a German mathematician and Mathematics education, mathematics educator, known for his work in group theory, complex analysis, non-Euclidean geometry, and the associations betwe ...
's unpublished lectures on 19th century mathematics. While there, Struik made extensive use of the university library to research
Renaissance The Renaissance ( , ) is a Periodization, period of history and a European cultural movement covering the 15th and 16th centuries. It marked the transition from the Middle Ages to modernity and was characterized by an effort to revive and sur ...
mathematicians. He also rekindled interest in a mistaken claim
Aristotle Aristotle (; 384–322 BC) was an Ancient Greek philosophy, Ancient Greek philosopher and polymath. His writings cover a broad range of subjects spanning the natural sciences, philosophy, linguistics, economics, politics, psychology, a ...
had made that space could be tiled with regular congruent
tetrahedra In geometry, a tetrahedron (: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular Face (geometry), faces, six straight Edge (geometry), edges, and four vertex (geometry), vertices. The tet ...
. Aristotle's error was first challenged in 1435. In 1926, Struik was offered positions as a lecturer in mathematics at
Moscow State University Moscow State University (MSU), officially M. V. Lomonosov Moscow State University,. is a public university, public research university in Moscow, Russia. The university includes 15 research institutes, 43 faculties, more than 300 departments, a ...
and at the
Massachusetts Institute of Technology The Massachusetts Institute of Technology (MIT) is a Private university, private research university in Cambridge, Massachusetts, United States. Established in 1861, MIT has played a significant role in the development of many areas of moder ...
(MIT). He decided to accept the latter offer, and spent the rest of his academic career there. He was promoted to assistant professor in 1928, associate professor in 1931, and was made a full professor in 1940. While at MIT, he collaborated with
Norbert Wiener Norbert Wiener (November 26, 1894 – March 18, 1964) was an American computer scientist, mathematician, and philosopher. He became a professor of mathematics at the Massachusetts Institute of Technology ( MIT). A child prodigy, Wiener late ...
on
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 ...
. In 1936, Struik co-founded '' Science & Society''. It would become the world's longest continuously running journal of Marxist scholarship. He regularly contributed articles to ''Science & Society'', primarily on the
history of science The history of science covers the development of science from ancient history, ancient times to the present. It encompasses all three major branches of science: natural science, natural, social science, social, and formal science, formal. Pr ...
.


Political controversy

Struik was a steadfast believer in
Marxism Marxism is a political philosophy and method of socioeconomic analysis. It uses a dialectical and materialist interpretation of historical development, better known as historical materialism, to analyse class relations, social conflict, ...
. Having joined the
Communist Party of the Netherlands The Communist Party of the Netherlands (, , CPN) was a communist party in the Netherlands. The party was founded in 1909 as the Social Democratic Party (Netherlands), Social Democratic Party (SDP) and merged with the Pacifist Socialist Party, the ...
in 1919, he remained a Party member his entire life. When asked in 1994, upon the occasion of his 100th birthday, how he managed to still author
peer-reviewed Peer review is the evaluation of work by one or more people with similar competencies as the producers of the work ( peers). It functions as a form of self-regulation by qualified members of a profession within the relevant field. Peer review ...
journal articles at such an advanced age, Struik replied blithely that he had the "3Ms" a man needs to sustain himself: Marriage (although he was recently a widower at that time), Mathematics, and Marxism. During the early 1950s McCarthy era, Struik's Marxist opinions led to accusations of him being a spy for the
Soviet Union The Union of Soviet Socialist Republics. (USSR), commonly known as the Soviet Union, was a List of former transcontinental countries#Since 1700, transcontinental country that spanned much of Eurasia from 1922 until Dissolution of the Soviet ...
. He was also cited as a "subversive influence in the educational process" in a U.S. Senate committee publication. He denied the allegations, and was called before the
House Un-American Activities Committee The House Committee on Un-American Activities (HCUA), popularly the House Un-American Activities Committee (HUAC), was an investigative United States Congressional committee, committee of the United States House of Representatives, created in 19 ...
(HUAC) on July 24, 1951. Struik refused to answer the more than 200 questions asked of him, repeatedly invoking the Fifth Amendment's shield against self-incrimination. (He had planned to invoke the
First Amendment First most commonly refers to: * First, the ordinal form of the number 1 First or 1st may also refer to: Acronyms * Faint Images of the Radio Sky at Twenty-Centimeters, an astronomical survey carried out by the Very Large Array * Far Infrared a ...
, but a recent U.S. Supreme Court case struck down that option.) On September 12, 1951, Struik was indicted by a Middlesex County grand jury for "conspiracy to overthrow the governments of the United States and Massachusetts, and for advocating the overthrow by violence of the government of the Commonwealth of Massachusetts". He was released on $10,000 bail. Soon thereafter, the MIT faculty voted to suspend him, with full salary, until the case was resolved. In April 1953, the head of the MIT mathematics department, William Ted Martin, testified to the HUAC that he and Struik had both been members of an MIT communist cell between 1938 and 1946. The indictment against Struik was quashed in 1956 by Judge Paul G. Kirk after the Massachusetts Supreme Court ruled in a different case that the federal
Smith Act The Alien Registration Act, popularly known as the Smith Act, 76th United States Congress, 3rd session, ch. 439, , is a United States federal statute that was enacted on June 28, 1940. It set criminal penalties for advocating the overthrow of ...
superseded state sedition laws. MIT lifted Struik's suspension on May 26, 1956, and he was reinstated as a faculty member. He retired from MIT in 1960.


Publications

Struik's most celebrated work was ''A Concise History of Mathematics''. Originally published in 1948, it went through four revised editions and was translated into eighteen languages. Among his other works that became standard references or textbooks were ''Yankee Science in the Making'' and ''A Source Book in Mathematics, 1200–1800''. In 1950, Struik published his ''Lectures on Classical Differential Geometry'', which garnered praise from Ian R. Porteous: :Of all the textbooks on elementary differential geometry published in the last fifty years the most readable is one of the earliest, namely that by D.J. Struik (1950). He is the only one to mention Allvar Gullstrand. In 1971, Struik edited ''The Birth of
the Communist Manifesto ''The Communist Manifesto'' (), originally the ''Manifesto of the Communist Party'' (), is a political pamphlet written by Karl Marx and Friedrich Engels, commissioned by the Communist League and originally published in London in 1848. The ...
''. He began the book with a lengthy essay, "Birth of the ''Communist Manifesto'' and its Historical Significance", that explicates the intellectual and social milieu from which the 1848 ''Manifesto'' emerged. In addition to supplying the full text of the document, with his annotations, Struik included as Appendices all Prefaces by
Karl Marx Karl Marx (; 5 May 1818 – 14 March 1883) was a German philosopher, political theorist, economist, journalist, and revolutionary socialist. He is best-known for the 1848 pamphlet '' The Communist Manifesto'' (written with Friedrich Engels) ...
and
Friedrich Engels Friedrich Engels ( ;"Engels"
''Random House Webster's Unabridged Dictionary''.
Harvard University Harvard University is a Private university, private Ivy League research university in Cambridge, Massachusetts, United States. Founded in 1636 and named for its first benefactor, the History of the Puritans in North America, Puritan clergyma ...
. In 1975, he won a Gold Medal of Achievement from the National University of Mexico "for his services to the teaching and development of mathematics in Mexico over the years." In 1989, he and Adolph P. Yushkevich were the inaugural winners of the Kenneth O. May Prize in the History of Mathematics. On October 21, 2000, three weeks after celebrating his 106th birthday, Dirk Struik died at his home in
Belmont, Massachusetts Belmont is a town in Middlesex County, Massachusetts, United States. It is a western suburb of Boston and is part of the Greater Boston metropolitan area. As of the 2020 U.S. census, its population was 27,295, an increase of 10.4% from 2010. H ...
.


Books

* 1928: Het Probleem 'De impletione loci' (Dutch), Nieuw Archief voor Wiskunde, Series 2, 15 (1925–1928), no. 3, 121–137. * 1950: ''Lectures on Classical Differential Geometry'',
Addison-Wesley Addison–Wesley is an American publisher of textbooks and computer literature. It is an imprint of Pearson plc, a global publishing and education company. In addition to publishing books, Addison–Wesley also distributes its technical titles ...
. * 1953: ''Lectures on Analytic and Projective Geometry'',
Addison-Wesley Addison–Wesley is an American publisher of textbooks and computer literature. It is an imprint of Pearson plc, a global publishing and education company. In addition to publishing books, Addison–Wesley also distributes its technical titles ...
. * 1957:
The Origins of American Science (New England)
' via
Internet Archive The Internet Archive is an American 501(c)(3) organization, non-profit organization founded in 1996 by Brewster Kahle that runs a digital library website, archive.org. It provides free access to collections of digitized media including web ...
. * 1971: (editor) ''Birth of the Communist Manifesto'', New World Paperbacks . * 1986: (editor) ''A Source Book in Mathematics, 1200–1800'',
Princeton University Press Princeton University Press is an independent publisher with close connections to Princeton University. Its mission is to disseminate scholarship within academia and society at large. The press was founded by Whitney Darrow, with the financial ...
, (pbk). * 1987: ''A Concise History of Mathematics'', fourth revised edition,
Dover Publications Dover Publications, also known as Dover Books, is an American book publisher founded in 1941 by Hayward and Blanche Cirker. It primarily reissues books that are out of print from their original publishers. These are often, but not always, book ...
, . * 1991: ''Yankee Science in the Making: Science and Engineering in New England from Colonial Times to the Civil War'', second revised edition,
Dover Publications Dover Publications, also known as Dover Books, is an American book publisher founded in 1941 by Hayward and Blanche Cirker. It primarily reissues books that are out of print from their original publishers. These are often, but not always, book ...
,


References


Sources

;Further reading * G. Alberts, and W. T. van Est, ''Dirk Jan Struik'', Levensberichten en herdenkingen (Koninklijke Nederlandse Akademie van Wetenschappen, 2002), pp. 107–114

(in Dutch) *


External links

* * Zentralblatt MATH, zbMATH Open
Dirk Jan Struik

Dirk Jan Struik
from
Tufts University Tufts University is a private research university in Medford and Somerville, Massachusetts, United States, with additional facilities in Boston and Grafton, as well as Talloires, France. Tufts also has several Doctor of Physical Therapy p ...
* * {{DEFAULTSORT:Struik, Dirk Jan 20th-century Dutch mathematicians Historians of science American historians of mathematics American mathematics educators Dutch mathematics educators American Marxist historians Dutch communists Leiden University alumni Academic staff of Utrecht University Massachusetts Institute of Technology School of Science faculty Academic staff of the Delft University of Technology Dutch men centenarians 1894 births 2000 deaths Scientists from Rotterdam People from Belmont, Massachusetts Dutch emigrants to the United States