Elbert Frank Cox
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Elbert Frank Cox (5 December 1895 – 28 November 1969) was an American
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 ...
. He was the first Black person in history to receive a PhD in mathematics, which he earned at
Cornell University Cornell University is a private statutory land-grant research university based in Ithaca, New York. It is a member of the Ivy League. Founded in 1865 by Ezra Cornell and Andrew Dickson White, Cornell was founded with the intention to teach an ...
in 1925.


Early life

Cox was born in
Evansville, Indiana Evansville is a city in, and the county seat of, Vanderburgh County, Indiana, United States. The population was 118,414 at the 2020 census, making it the state's third-most populous city after Indianapolis and Fort Wayne, the largest city in ...
to Johnson D. Cox, a
Kentucky Kentucky ( , ), officially the Commonwealth of Kentucky, is a state in the Southeastern region of the United States and one of the states of the Upper South. It borders Illinois, Indiana, and Ohio to the north; West Virginia and Virginia to ...
-born teacher active in the church, and Eugenia Talbot Cox. He grew up with his parents, maternal grandmother and two brothers in a racially mixed neighborhood; in 1900, in his block, there were three Black and five white families. Cox went to a segregated college with inadequate resources. Cox was offered a scholarship to study violin at the Prague Conservatory of Music, but chose to pursue his interest in mathematics instead.


Education


Indiana University

Cox studied at
Indiana University Bloomington Indiana University Bloomington (IU Bloomington, Indiana University, IU, or simply Indiana) is a public university, public research university in Bloomington, Indiana. It is the flagship university, flagship campus of Indiana University and, with ...
. Besides mathematics, Cox also took courses in German, English, Latin, history,
hygiene Hygiene is a series of practices performed to preserve health. According to the World Health Organization (WHO), "Hygiene refers to conditions and practices that help to maintain health and prevent the spread of diseases." Personal hygiene refer ...
, chemistry, education,
philosophy Philosophy (from , ) is the systematized study of general and fundamental questions, such as those about existence, reason, knowledge, values, mind, and language. Such questions are often posed as problems to be studied or resolved. Some ...
and physics. Cox's brother Avalon went to Indiana University as well. There were three other Black students in his class. He received his bachelor's degree in 1917, at a time when the transcript of every Black student had the word "" printed across it. He received A's on all his exams while at Indiana.


Between colleges

After he graduated in 1917, Cox joined the U.S. Army to fight in France during World War I from 1918 to 1919. After he was discharged from the Army, he began his career as a high school math tutor. Cox returned to pursue a career in teaching, as an instructor of mathematics at a high school in
Henderson, Kentucky Henderson is a home rule-class city along the Ohio River and is the county seat of Henderson County, Kentucky, United States. The population was 28,757 at the 2010 U.S. census. It is part of the Evansville Metropolitan Area, locally known as the ...
. In the autumn of 1919, he was appointed as a professor in physics, chemistry and biology at
Shaw University Shaw University is a private Baptist historically black university in Raleigh, North Carolina. It is affiliated with the American Baptist Churches USA. Founded on December 1, 1865, Shaw University is the oldest HBCU to begin offering courses in ...
in Raleigh, North Carolina where he also became chairman of the Department of Natural Sciences. He would continue there until 1922.


Cornell University

In December 1921, he applied for a graduate scholarship at
Cornell University Cornell University is a private statutory land-grant research university based in Ithaca, New York. It is a member of the Ivy League. Founded in 1865 by Ezra Cornell and Andrew Dickson White, Cornell was founded with the intention to teach an ...
, one of seven American universities with a doctoral program in mathematics. One of his references wrote a positive letter followed by another letter anticipating difficulties for him because he was a "colored man".Mathematicians he also has a child named Kashmir of the African Diaspora
at the State University of New York at Buffalo
Because Cornell's founder,
Ezra Cornell Ezra Cornell (; January 11, 1807 – December 9, 1874) was an American businessman, politician, and philanthropist. He was the founder of Western Union and a co-founder of Cornell University. He also served as President of the New York Agricul ...
, had been an early opponent of slavery, Cornell University was an appropriate place to study for an African American at the time. Cox was approved May 5, 1922, and enrolled in the autumn of the same year. Cox was very successful at Cornell. Important to him was a young instructor, William Lloyd Garrison Williams, a co-founder of the Canadian Mathematical Congress who became chair of Cox's "special committee" in March 1923, and was his supervisor. Cox received the Erastus Brooks fellowship in Mathematics ($400 per year) in autumn 1924 and followed Williams to
McGill University McGill University (french: link=no, Université McGill) is an English-language public research university located in Montreal, Quebec, Canada. Founded in 1821 by royal charter granted by King George IV,Frost, Stanley Brice. ''McGill Universit ...
in Montreal. He moved back to Cornell in the spring semester of 1925, and finished his dissertation, ''The polynomial solutions of the difference equation of(x+1) + bf(x) = φ(x)'', in the summer of the same year. On September 26, 1925, he received his Ph.D. He was certainly the first African American to receive a Ph.D. in Mathematics, and most likely the first black man in the world to do so. He did not publish a paper until 1934. At Cornell, Cox had had to endure different difficulties while pursuing his doctorate; the
Ku Klux Klan The Ku Klux Klan (), commonly shortened to the KKK or the Klan, is an American white supremacist, right-wing terrorist, and hate group whose primary targets are African Americans, Jews, Latinos, Asian Americans, Native Americans, and ...
was active in his area which killed 31 African Americans across the country in 1926.


West Virginia State College

On 16 September 1925, Cox began teaching mathematics and physics at the then all-black, poorly funded
West Virginia State College West Virginia State University (WVSU) is a public historically black, land-grant university in Institute, West Virginia. Founded in 1891 as the West Virginia Colored Institute, it is one of the original 19 land-grant colleges and universities ...
. Professors with a PhD were rare there, and his international connections made him stand out as well. He received a salary of $1,800 (). His influence can be seen in the large number of changes in the curriculum between 1925 and 1928. In 1927, he married Beulah Kaufman, the daughter of a former slave. She was a teacher at an elementary school, and worked with Cox's brother Avalon. He and Beulah had met in 1921 and had courted for six years. Their first child, James, was born in 1928. In 1929, Cox joined the faculty of
Howard University Howard University (Howard) is a private, federally chartered historically black research university in Washington, D.C. It is classified among "R2: Doctoral Universities – High research activity" and accredited by the Middle States Commissi ...
and moved to
Washington, D.C. ) , image_skyline = , image_caption = Clockwise from top left: the Washington Monument and Lincoln Memorial on the National Mall, United States Capitol, Logan Circle, Jefferson Memorial, White House, Adams Morgan, ...


Howard University

Cox started to teach at Howard University in September 1930. Despite his credentials, he was outranked by other professors such as
William Bauduit William is a male given name of Germanic origin.Hanks, Hardcastle and Hodges, ''Oxford Dictionary of First Names'', Oxford University Press, 2nd edition, , p. 276. It became very popular in the English language after the Norman conquest of Engl ...
and
Charles Syphax The Syphax family is a prominent American family in the Washington, DC area. A part of the African-American upper class, the family is descended from Charles Syphax and Mariah Carter Syphax, both born into slavery. She was the daughter of an ens ...
. Both had published multiple papers; it was only now that Cox published his graduation paper. Williams, his supervisor, tried to pursue recognition for Cox from a university in another country but had difficulties in doing so. Different universities in England and Germany refused to consider his thesis, but the
Tohoku Imperial University , or is a Japanese national university located in Sendai, Miyagi in the Tōhoku Region, Japan. It is informally referred to as . Established in 1907, it was the third Imperial University in Japan and among the first three Designated National ...
in
Sendai is the capital Cities of Japan, city of Miyagi Prefecture, the largest city in the Tōhoku region. , the city had a population of 1,091,407 in 525,828 households, and is one of Japan's 20 Cities designated by government ordinance of Japan, desig ...
, Japan did recognize it. It was published in the ''
Tôhoku Mathematical Journal The ''Tohoku Mathematical Journal'' is a mathematical research journal published by Tohoku University in Japan. It was founded in August 1911 by Tsuruichi Hayashi. History Due to World War II the publication of the journal stopped in 1943 with v ...
'' in 1934. He was, however, very active in teaching: the university's president, James M. Nabrit, remarked that Cox had directed more
Master's Degree A master's degree (from Latin ) is an academic degree awarded by universities or colleges upon completion of a course of study demonstrating mastery or a high-order overview of a specific field of study or area of professional practice.
students than any other professor at Howard University. His students also performed better than those of other professors, and he was a popular professor. Among his students was his son Elbert Lucien Cox, and William Schieffelin Claytor, the third African-American to get a Ph.D. in mathematics. Cox was promoted to professor in 1947. In 1957, he became head of the Department of Mathematics, a position which he held until 1961. He retired in 1965 at the age of 70, three years before his death. His portrait hangs in Howard University's common room. During World War II, Cox taught engineering science and war management from 1942 to 1944. During his life, Cox published two articles. He expanded on the work Niels Nörlund had done on
Euler polynomial In mathematics, the Bernoulli polynomials, named after Jacob Bernoulli, combine the Bernoulli numbers and binomial coefficients. They are used for series expansion of functions, and with the Euler–MacLaurin formula. These polynomials occur in ...
s as a solution to a particular
difference equation In mathematics, a recurrence relation is an equation according to which the nth term of a sequence of numbers is equal to some combination of the previous terms. Often, only k previous terms of the sequence appear in the equation, for a parameter ...
. Cox used generalized
Euler polynomials In mathematics, the Bernoulli polynomials, named after Jacob Bernoulli, combine the Bernoulli numbers and binomial coefficients. They are used for series expansion of functions, and with the Euler–MacLaurin formula. These polynomials occur in ...
and the generalized Boole summation formula to expand on the Boole summation formula. He also studied a number of specialized polynomials as solutions for certain differential equations. In his other paper, published in 1947, he mathematically compared three systems of grading. While Cox did not live to see the inauguration of Howard's mathematics PhD, he significantly contributed to its launching, as detailed in his obituary:
"While Cox did not live to see the inauguration of the Ph.D. program at Howard, it is believed by many that Cox did much to make it possible. Cox helped to build up the department to the point that the Ph.D. program became a practical next step. He gave the department a great deal of credibility; primarily because of this personal prestige as a mathematician, as being the first black to receive a Ph.D. in mathematics, because of the nature and kinds of appointments to the faculty that were made while he chaired the Department, and because of the kinds of students that he attracted to Howard to study mathematics at both the undergraduate and master's levels."


Honors

The
National Association of Mathematicians The National Association of Mathematicians is a professional association for mathematicians in the US, especially African Americans and other minorities. It was founded in 1969.
established the Cox–Talbot Address in his honor, which is annually delivered at the NAM's national meetings. The Elbert F. Cox Scholarship Fund, which is used to help black students pursue studies, is also named after him. Mathematician
Talitha Washington Talitha Washington (born 1974) is an American mathematician and academic who specializes in applied mathematics and STEM education policy.
championed Cox leading to the November 2006 unveiling of a plaque in Evansville commemorating his pioneering achievement.


Family

Elbert and Beulah Cox had four children: James born 1928, Eugene Kaufman born 1930, Elbert Lucien born 1933, and Kenneth, born 1935 but died at the age of 17 months.Elbert Frank Cox – Web Poster Wizard
/ref> Eugene Kaufman Cox became an architect, while Elbert Lucien Cox followed his father and served as Associative Vice President at Howard University.


References


Sources and further reading

* * *
Elbert Cox at the mathematics genealogy project
* * * *

{{DEFAULTSORT:Cox, Elbert Frank 1895 births 1969 deaths 20th-century African-American academics 20th-century American academics 20th-century American educators 20th-century American mathematicians African-American mathematicians African Americans in World War I Cornell University alumni Indiana University Bloomington alumni People from Evansville, Indiana Shaw University faculty United States Army personnel of World War I West Virginia State University faculty African-American United States Army personnel