John Riordan (mathematician)
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John Francis Riordan (April 22, 1903 – August 27, 1988) 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, mathematical structure, structure, space, Mathematica ...
and the author of major early works in
combinatorics Combinatorics is an area of mathematics primarily concerned with counting, both as a means and as an end to obtaining results, and certain properties of finite structures. It is closely related to many other areas of mathematics and has many ...
, particularly ''Introduction to Combinatorial Analysis'' and ''Combinatorial Identities''.


Biography

Riordan was a graduate of
Yale University Yale University is a Private university, private Ivy League research university in New Haven, Connecticut, United States. Founded in 1701, Yale is the List of Colonial Colleges, third-oldest institution of higher education in the United Stat ...
. In his early life he wrote a number of poems and essays and a book of short-stories, ''On the Make'', published in 1929, and was Editor-in-Chief of ''Salient'' and ''The Figure in the Carpet'', literary magazines published by
The New School for Social Research The New School for Social Research (NSSR), previously known as The University in Exile and The New School University, is a graduate-level educational division of The New School in New York City, United States. NSSR enrolls more than 1,000 stud ...
in New York. He married Mavis McIntosh, the well-known poet and literary agent and founder of McIntosh & Otis. The couple had two daughters: Sheila Riordan and Kathleen Riordan Speeth, and were long time residents of
Hastings-on-Hudson, New York Hastings-on-Hudson is a administrative divisions of New York#Village, village in Westchester County located in the southwestern part of the administrative divisions of New York#Town, town of Greenburgh, New York, Greenburgh in the state of New Yo ...
. Riordan's long professional career was at
Bell Labs Nokia Bell Labs, commonly referred to as ''Bell Labs'', is an American industrial research and development company owned by Finnish technology company Nokia. With headquarters located in Murray Hill, New Jersey, Murray Hill, New Jersey, the compa ...
, which he joined in 1926 (a year after its foundation) and where he remained, publishing over a hundred scholarly papers on combinatorial analysis, until he retired in 1968. He then joined the faculty at
Rockefeller University The Rockefeller University is a Private university, private Medical research, biomedical Research university, research and graduate-only university in New York City, New York. It focuses primarily on the biological and medical sciences and pro ...
as professor emeritus. A
Festschrift In academia, a ''Festschrift'' (; plural, ''Festschriften'' ) is a book honoring a respected person, especially an academic, and presented during their lifetime. It generally takes the form of an edited volume, containing contributions from the h ...
was published in his honor in 1978. Throughout his life Riordan led an active literary life, with many distinguished friends such as
Kenneth Burke Kenneth Duva Burke (May 5, 1897 – November 19, 1993) was an American literary theorist, as well as poet, essayist, and novelist, who wrote on 20th-century philosophy, aesthetics, criticism, and rhetorical theory. As a literary theorist, Burke ...
,
William Carlos Williams William Carlos Williams (September 17, 1883 – March 4, 1963) was an American poet and physician closely associated with modernism and imagism. His '' Spring and All'' (1923) was written in the wake of T. S. Eliot's '' The Waste Land'' (1922). ...
, and A. R. Orage. The Riordan array, introduced by mathematician Louis W. Shapiro, is named after John Riordan.


Tribute

From the ''Introduction'' by Marc Kac to the Special Issue of the '' JCTA'' in honor of John Riordan: : ''Foremost among the keepers of the barely flickering combinatorial flame was John Riordan. John’s work in Combinatorial Theory (or Combinatorial Analysis as he prefers to call it) is uncompromisingly classical in spirit and appearance. Though largely tolerant of modernity he does not let anyone forget that Combinatorial Analysis is the art and science of counting (enumerating is the word he prefers) and that a
generating function In mathematics, a generating function is a representation of an infinite sequence of numbers as the coefficients of a formal power series. Generating functions are often expressed in closed form (rather than as a series), by some expression invo ...
by any other name or definition is still a generating function.'' Fro
an interview
with
Neil Sloane __NOTOC__ Neil James Alexander Sloane FLSW (born October 10, 1939) is a British-American mathematician. His major contributions are in the fields of combinatorics, error-correcting codes, and sphere packing. Sloane is best known for being the cre ...
published by Bell Labs: : "Even at the end of my first year as a graduate student at Cornell, in 1962, I managed to arrange a summer job at Bell Labs in Holmdel. This was still on minimal cost networks. During that summer I met another of my heroes, John Riordan, one of the great early workers in combinatorics. His book ''An Introduction to Combinatorial Analysis'' is a classic. He was working at Bell Labs in West Street in Manhattan at that time. One of my earliest papers, on a problem that came up in my thesis work, was a joint paper with him."


Selected publications

* (book of 14 short-stories) * * (reissued in 1980; reprinted again in 2002 by Courier Dover Publications) translated into Russian in 1962. * * (reprinted with corrections: )


Notes


External links


Former Members of the Technical Staff
in the mathematics group at Bell Laboratories.


A Guide to John F. Riordan Papers' Rockefeller University Faculty FA 191

John F. Riordan, 1903-1988. Mathematician and engineer

The John Riordan Prize
{{DEFAULTSORT:Riordan, John 20th-century American mathematicians Combinatorialists Scientists at Bell Labs Yale University alumni People from Hastings-on-Hudson, New York 1903 births 1988 deaths