Ralph Philip Boas, Jr.
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Ralph Philip Boas Jr. (August 8, 1912 – July 25, 1992) was a mathematician, teacher, and journal editor. He wrote over 200 papers, mainly in the fields of
real Real may refer to: Currencies * Brazilian real (R$) * Central American Republic real * Mexican real * Portuguese real * Spanish real * Spanish colonial real Music Albums * ''Real'' (L'Arc-en-Ciel album) (2000) * ''Real'' (Bright album) (2010) ...
and
complex analysis Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates Function (mathematics), functions of complex numbers. It is helpful in many branches of mathemati ...
..


Biography

He was born in
Walla Walla, Washington Walla Walla is a city in Walla Walla County, Washington, where it is the largest city and county seat. It had a population of 34,060 at the 2020 census, estimated to have decreased to 33,927 as of 2021. The population of the city and its two su ...
, the son of an English professor at
Whitman College Whitman College is a private liberal arts college in Walla Walla, Washington. The school offers 53 majors and 33 minors in the liberal arts and sciences, and it has a student-to-faculty ratio of 9:1. Whitman was the first college in the Pacifi ...
, but moved frequently as a child; his younger sister,
Marie Boas Hall Marie Boas Hall (October 18, 1919 – February 23, 2009) was a historian of science and is considered one of the postwar period pioneers of the study of the Scientific Revolution during the 16th and 17th centuries. Biography and career Marie ...
, later to become a historian of science, was born in
Springfield, Massachusetts Springfield is a city in the Commonwealth of Massachusetts, United States, and the seat of Hampden County. Springfield sits on the eastern bank of the Connecticut River near its confluence with three rivers: the western Westfield River, the ...
, where his father had become a high school teacher.. He was home-schooled until the age of eight, began his formal schooling in the sixth grade, and graduated from high school while still only 15. After a gap year auditing classes at
Mount Holyoke College Mount Holyoke College is a private liberal arts women's college in South Hadley, Massachusetts. It is the oldest member of the historic Seven Sisters colleges, a group of elite historically women's colleges in the Northeastern United States. ...
(where his father had become a professor) he entered Harvard, intending to major in chemistry and go into medicine, but ended up studying mathematics instead. His first mathematics publication was written as an undergraduate, after he discovered an incorrect proof in another paper. He got his A.B. degree in 1933, received a Sheldon Fellowship for a year of travel, and returned to Harvard for his doctoral studies in 1934. He earned his doctorate there in 1937, under the supervision of
David Widder David Vernon Widder (25 March 1898 – 8 July 1990) was an American mathematician. He earned his Ph.D. at Harvard University in 1924 under George Birkhoff and went on to join the faculty there. He was a co-founder of the ''Duke Mathematical Jour ...
. After postdoctoral studies at
Princeton University Princeton University is a private university, private research university in Princeton, New Jersey. Founded in 1746 in Elizabeth, New Jersey, Elizabeth as the College of New Jersey, Princeton is the List of Colonial Colleges, fourth-oldest ins ...
with
Salomon Bochner Salomon Bochner (20 August 1899 – 2 May 1982) was an Austrian mathematician, known for work in mathematical analysis, probability theory and differential geometry. Life He was born into a Jewish family in Podgórze (near Kraków), then Aust ...
, and then the
University of Cambridge , mottoeng = Literal: From here, light and sacred draughts. Non literal: From this place, we gain enlightenment and precious knowledge. , established = , other_name = The Chancellor, Masters and Schola ...
in England, he began a two-year instructorship at
Duke University Duke University is a private research university in Durham, North Carolina. Founded by Methodists and Quakers in the present-day city of Trinity in 1838, the school moved to Durham in 1892. In 1924, tobacco and electric power industrialist James ...
, where he met his future wife, Mary Layne, also a mathematics instructor at Duke. They were married in 1941, and when the United States entered World War II later that year, Boas moved to the Navy Pre-flight School in
Chapel Hill, North Carolina Chapel Hill is a town in Orange, Durham and Chatham counties in the U.S. state of North Carolina. Its population was 61,960 in the 2020 census, making Chapel Hill the 17th-largest municipality in the state. Chapel Hill, Durham, and the state ca ...
. In 1942, he interviewed for a position in the
Manhattan Project The Manhattan Project was a research and development undertaking during World War II that produced the first nuclear weapons. It was led by the United States with the support of the United Kingdom and Canada. From 1942 to 1946, the project w ...
, at the
Los Alamos National Laboratory Los Alamos National Laboratory (often shortened as Los Alamos and LANL) is one of the sixteen research and development laboratories of the United States Department of Energy (DOE), located a short distance northwest of Santa Fe, New Mexico, ...
, but ended up returning to Harvard to teach in a Navy instruction program there, while his wife taught at
Tufts University Tufts University is a private research university on the border of Medford and Somerville, Massachusetts. It was founded in 1852 as Tufts College by Christian universalists who sought to provide a nonsectarian institution of higher learning. ...
. Beginning when he was an instructor at Duke University, Boas had become a prolific reviewer for ''
Mathematical Reviews ''Mathematical Reviews'' is a journal published by the American Mathematical Society (AMS) that contains brief synopses, and in some cases evaluations, of many articles in mathematics, statistics, and theoretical computer science. The AMS also pu ...
'', and at the end of the war he took a position as its full-time editor. In the academic year 1950–1951 he was a
Guggenheim Fellow Guggenheim Fellowships are grants that have been awarded annually since by the John Simon Guggenheim Memorial Foundation to those "who have demonstrated exceptional capacity for productive scholarship or exceptional creative ability in the ar ...
. In 1950 he became Professor of Mathematics at
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 ...
, without ever previously having been an assistant or associate professor; his wife became a professor of physics at nearby
DePaul University DePaul University is a private university, private, Catholic higher education, Catholic research university in Chicago, Illinois. Founded by the Congregation of the Mission, Vincentians in 1898, the university takes its name from the 17th-centu ...
, due to the anti-nepotism rules then in place at Northwestern. He stayed at Northwestern until his retirement in 1980, and was chair there from 1957 to 1972. He was president of the
Mathematical Association of America The Mathematical Association of America (MAA) is a professional society that focuses on mathematics accessible at the undergraduate level. Members include university, college, and high school teachers; graduate and undergraduate students; pure a ...
from 1973 to 1974, and as president launched the ''Dolciani Mathematical Expositions'' series of books. He was also editor of the ''
American Mathematical Monthly ''The American Mathematical Monthly'' is a mathematical journal founded by Benjamin Finkel in 1894. It is published ten times each year by Taylor & Francis for the Mathematical Association of America. The ''American Mathematical Monthly'' is an e ...
'' from 1976 to 1981. He continued mathematical work after retiring, for instance as co-editor (with
George Leitmann George Leitmann (born May 24, 1925) is an Austrian-born American engineering scientist and educator. Early life and education Leitmann was born on May 24, 1925, to a fully assimilated Jewish family in Vienna, Austria. His paternal grandfather wa ...
) of the ''
Journal of Mathematical Analysis and Applications The ''Journal of Mathematical Analysis and Applications'' is an academic journal in mathematics, specializing in mathematical analysis and related topics in applied mathematics. It was founded in 1960, as part of a series of new journals on areas o ...
'' from 1985 to 1991. Along with his mathematical education, Boas was educated in many languages: Latin in junior high school, French and German in high school, Greek at Mount Holyoke, Sanskrit as a Harvard undergraduate, and later self-taught Russian while at Duke University. Boas' son Harold P. Boas is also a noted mathematician.


The hunting of big game

Boas,
Frank Smithies Frank Smithies FRSE (1912–2002) was a British mathematician who worked on integral equations, functional analysis, and the history of mathematics. He was elected as a fellow of the Royal Society of Edinburgh in 1961. He was an alumnus and an ...
, and colleagues were behind the 1938 paper ''A Contribution to the Mathematical Theory of Big Game Hunting'' published in the ''
American Mathematical Monthly ''The American Mathematical Monthly'' is a mathematical journal founded by Benjamin Finkel in 1894. It is published ten times each year by Taylor & Francis for the Mathematical Association of America. The ''American Mathematical Monthly'' is an e ...
'' under the pseudonym H. Pétard (referring to
Hamlet ''The Tragedy of Hamlet, Prince of Denmark'', often shortened to ''Hamlet'' (), is a tragedy written by William Shakespeare sometime between 1599 and 1601. It is Shakespeare's longest play, with 29,551 words. Set in Denmark, the play depicts ...
's " hoist by his own petard"). The paper offers short spoofs of theorems and proofs from
mathematics Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...
and
physics Physics is the natural science that studies matter, its 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 which r ...
, in the form of applications to the
hunting Hunting is the human activity, human practice of seeking, pursuing, capturing, or killing wildlife or feral animals. The most common reasons for humans to hunt are to harvest food (i.e. meat) and useful animal products (fur/hide (skin), hide, ...
of
lion The lion (''Panthera leo'') is a large Felidae, cat of the genus ''Panthera'' native to Africa and India. It has a muscular, broad-chested body; short, rounded head; round ears; and a hairy tuft at the end of its tail. It is sexually dimorphi ...
s in the
Sahara desert , photo = Sahara real color.jpg , photo_caption = The Sahara taken by Apollo 17 astronauts, 1972 , map = , map_image = , location = , country = , country1 = , ...
. One "proof"
parodies A parody, also known as a spoof, a satire, a send-up, a take-off, a lampoon, a play on (something), or a caricature, is a creative work designed to imitate, comment on, and/or mock its subject by means of satiric or ironic imitation. Often its sub ...
the
Bolzano–Weierstrass theorem In mathematics, specifically in real analysis, the Bolzano–Weierstrass theorem, named after Bernard Bolzano and Karl Weierstrass, is a fundamental result about convergence in a finite-dimensional Euclidean space \R^n. The theorem states that each ...
: The paper became a classic of
mathematical humor A mathematical joke is a form of humor which relies on aspects of mathematics or a stereotype of mathematicians. The humor may come from a pun, or from a double meaning of a mathematical term, or from a lay person's misunderstanding of a mathemati ...
and spawned various follow-ons over the years with theories or methods from other scientific areas adapted to hunting lions. The paper and later work is published in ''Lion Hunting and Other Mathematical Pursuits : A Collection of Mathematics, Verse, and Stories by the Late Ralph P. Boas Jr.'', edited by
Gerald L. Alexanderson Gerald Lee Alexanderson (1933–2020) was an American mathematician. He was the Michael & Elizabeth Valeriote Professor of Science at Santa Clara University, and in 1997–1998 was president of the Mathematical Association of America. He was also ...
and Dale H. Mugler, . Various online collections of the lion hunting methods exist too.


Pondiczery

E. S. Pondiczery was another pseudonym invented by Boas and Smithies as the fictional person behind the "H. Pétard" pseudonym, and later used again by Boas, this time for a serious paper on
topology In mathematics, topology (from the Greek language, Greek words , and ) is concerned with the properties of a mathematical object, geometric object that are preserved under Continuous function, continuous Deformation theory, deformations, such ...
, ''Power problems in abstract spaces'',
Duke Mathematical Journal ''Duke Mathematical Journal'' is a peer-reviewed mathematics journal published by Duke University Press. It was established in 1935. The founding editors-in-chief were David Widder, Arthur Coble, and Joseph Miller Thomas Joseph Miller Thomas (16 ...
, 11 (1944), 835–837. This paper and the name became part of the Hewitt-Marczewski-Pondiczery theorem. The name, revealed in ''Lion Hunting and Other Mathematical Pursuits'' cited above, came from
Pondicherry Pondicherry (), now known as Puducherry ( French: Pondichéry ʊdʊˈtʃɛɹi(listen), on-dicherry, is the capital and the most populous city of the Union Territory of Puducherry in India. The city is in the Puducherry district on the sout ...
(a place in India disputed by the
Dutch Dutch commonly refers to: * Something of, from, or related to the Netherlands * Dutch people () * Dutch language () Dutch may also refer to: Places * Dutch, West Virginia, a community in the United States * Pennsylvania Dutch Country People E ...
,
English English usually refers to: * English language * English people English may also refer to: Peoples, culture, and language * ''English'', an adjective for something of, from, or related to England ** English national ide ...
and
French French (french: français(e), link=no) may refer to: * Something of, from, or related to France ** French language, which originated in France, and its various dialects and accents ** French people, a nation and ethnic group identified with Franc ...
) and a slavic twist. The initials "E.S." were a plan to write a spoof on
extra-sensory perception Extrasensory perception or ESP, also called sixth sense, is a claimed paranormal ability pertaining to reception of information not gained through the recognized physical senses, but sensed with the mind. The term was adopted by Duke Universit ...
(ESP).


Other

His best-known books are the lion-hunting book previously mentioned and the monograph '' A Primer of Real Functions''. The current edition of the primer has been revised and edited by his son, mathematician Harold P. Boas. The best-known of his 13 doctoral students is
Philip J. Davis Philip J. Davis (January 2, 1923 – March 14, 2018) was an American academic applied mathematician. Davis was born in Lawrence, Massachusetts. He was known for his work in numerical analysis and approximation theory, as well as his investigati ...
, who is also his only advisee who did not graduate from Northwestern. Boas advised Davis, who was at
Harvard University Harvard University is a private Ivy League research university in Cambridge, Massachusetts. Founded in 1636 as Harvard College and named for its first benefactor, the Puritan clergyman John Harvard, it is the oldest institution of higher le ...
, while Boas was visiting at
Brown University Brown University is a private research university in Providence, Rhode Island. Brown is the seventh-oldest institution of higher education in the United States, founded in 1764 as the College in the English Colony of Rhode Island and Providenc ...
.


References


''A Contribution to the Mathematical Theory of Big Game Hunting''
American Mathematical Monthly ''The American Mathematical Monthly'' is a mathematical journal founded by Benjamin Finkel in 1894. It is published ten times each year by Taylor & Francis for the Mathematical Association of America. The ''American Mathematical Monthly'' is an e ...
, August–September 1938, page 446
archived
May 13, 2021, at the
Wayback Machine The Wayback Machine is a digital archive of the World Wide Web founded by the Internet Archive, a nonprofit based in San Francisco, California. Created in 1996 and launched to the public in 2001, it allows the user to go "back in time" and see ...
. * ''Pondiczery was Ralph Boas — A Historical Vignette'',
Melvin Henriksen Melvin is a masculine given name and surname, likely a variant of Melville and a descendant of the French surname de Maleuin and the later Melwin. It may alternatively be spelled as Melvyn or, in Welsh, Melfyn and the name Melivinia or Melva may b ...



Further reading

* ''Some Modern Mathematical Methods in the Theory of Lion Hunting'', O. Morphy,
American Mathematical Monthly ''The American Mathematical Monthly'' is a mathematical journal founded by Benjamin Finkel in 1894. It is published ten times each year by Taylor & Francis for the Mathematical Association of America. The ''American Mathematical Monthly'' is an e ...
, volume 75 (1968), pages 185–187. *
Linguistic Contributions To The Formal Theory Of Big-Game Hunting
', R. Mathiesen, Lingua Pranca, 1978.


External links

*
Ralph Philip Boas Jr
' MacTutor History of Mathematics Archive,
University of St Andrews (Aien aristeuein) , motto_lang = grc , mottoeng = Ever to ExcelorEver to be the Best , established = , type = Public research university Ancient university , endowment ...
* {{DEFAULTSORT:Boas, Ralph P. Jr. 1912 births 1992 deaths 20th-century American mathematicians Complex analysts Mathematical analysts Mathematical humor Harvard University alumni Northwestern University faculty People from Walla Walla, Washington Presidents of the Mathematical Association of America Mathematicians from Washington (state) The American Mathematical Monthly editors