Lloyd Lyne Dines (29 March 1885, in

Shelbyville, Missouri Shelbyville is a city in Shelby County, Missouri, United States. The population was 518 at the 2020 census. It is the county seat of Shelby County. History Shelbyville was platted in 1836. Like the county in which it is located, Shelbyville wa ...

– 17 January 1964, in

Quincy, Illinois Quincy ( ), known as Illinois's "Gem City", is a city in and the county seat of Adams County, Illinois, United States, located on the Mississippi River. The 2020 census counted a population of 39,463 in the city itself, down from 40,633 in 2010. ...

) was an American-Canadian mathematician, known for his pioneering work on linear inequalities.Lloyd L. Dines (1885–1964), The Department of Mathematics and Statistics - College of Arts and Science, University of Saskatchewan

Education and career

Dines received B.A. in 1906 and M.A. in 1907 from

Northwestern University Northwestern University is a private research university in Evanston, Illinois. Founded in 1851, Northwestern is the oldest chartered university in Illinois and is ranked among the most prestigious academic institutions in the world. Charte ...

and Ph.D. in 1911 from the

University of Chicago The University of Chicago (UChicago, Chicago, U of C, or UChi) is a private research university in Chicago, Illinois. Its main campus is located in Chicago's Hyde Park neighborhood. The University of Chicago is consistently ranked among the b ...

under

Gilbert Bliss Gilbert Ames Bliss, (9 May 1876 – 8 May 1951), was an American mathematician, known for his work on the calculus of variations. Life Bliss grew up in a Chicago family that eventually became affluent; in 1907, his father became president of the ...

with thesis ''The highest common factor of a system of polynomials in one variable, with an application to implicit functions''. In 1911 he became an instructor of mathematics at

Columbia University Columbia University (also known as Columbia, and officially as Columbia University in the City of New York) is a private research university in New York City. Established in 1754 as King's College on the grounds of Trinity Church in Manhatt ...

and then became an associate professor at the

University of Arizona The University of Arizona (Arizona, U of A, UArizona, or UA) is a public land-grant research university in Tucson, Arizona. Founded in 1885 by the 13th Arizona Territorial Legislature, it was the first university in the Arizona Territory. T ...

. From 1915 to 1934 he was a professor at the

University of Saskatchewan A university () is an institution of higher (or tertiary) education and research which awards academic degrees in several academic disciplines. Universities typically offer both undergraduate and postgraduate programs. In the United States, t ...

. In 1928 he was elected to the

Royal Society of Canada The Royal Society of Canada (RSC; french: Société royale du Canada, SRC), also known as the Academies of Arts, Humanities and Sciences of Canada (French: ''Académies des arts, des lettres et des sciences du Canada''), is the senior national, bil ...

. In 1932 he was an

invited speaker at the International Congress of Mathematicians This is a list of International Congresses of Mathematicians Plenary and Invited Speakers. Being invited to talk at an International Congress of Mathematicians has been called "the equivalent, in this community, of an induction to a hall of fame." ...

Zürich Zürich () is the list of cities in Switzerland, largest city in Switzerland and the capital of the canton of Zürich. It is located in north-central Switzerland, at the northwestern tip of Lake Zürich. As of January 2020, the municipality has 43 ...

. From 1934 to 1945 he was a professor at the

Carnegie Institute of Technology Carnegie Mellon University (CMU) is a private research university in Pittsburgh, Pennsylvania. One of its predecessors was established in 1900 by Andrew Carnegie as the Carnegie Technical Schools; it became the Carnegie Institute of Technology ...

and chair of the mathematics department. After his retirement in 1945, Dines held visiting professorships at the University of Saskatchewan,

Smith College Smith College is a Private university, private Liberal arts colleges in the United States, liberal arts Women's colleges in the United States, women's college in Northampton, Massachusetts. It was chartered in 1871 by Sophia Smith (Smith College ...

, and Northwestern University.

Selected publications

* * * * * * * * * * * *with David Moskovitz: * * * *

References

{{DEFAULTSORT:Dines, Lloyd 1885 births 1964 deaths 20th-century American mathematicians Canadian mathematicians Northwestern University alumni University of Chicago alumni University of Saskatchewan faculty Carnegie Mellon University faculty People from Shelbyville, Missouri Fellows of the Royal Society of Canada