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Abram Samoilovitch Besicovitch (or Besikovitch) (russian: link=no, Абра́м Само́йлович Безико́вич; 23 January 1891 – 2 November 1970) was a
Russia Russia (, , ), or the Russian Federation, is a List of transcontinental countries, transcontinental country spanning Eastern Europe and North Asia, Northern Asia. It is the List of countries and dependencies by area, largest country in the ...
n mathematician, who worked mainly in England. He was born in
Berdyansk Berdiansk or Berdyansk ( uk, Бердя́нськ, translit=Berdiansk, ; russian: Бердя́нск, translit=Berdyansk ) is a port city in the Zaporizhzhia Oblast (province) in south-eastern Ukraine. It is on the northern coast of the Sea of ...
on the
Sea of Azov The Sea of Azov ( Crimean Tatar: ''Azaq deñizi''; russian: Азовское море, Azovskoye more; uk, Азовське море, Azovs'ke more) is a sea in Eastern Europe connected to the Black Sea by the narrow (about ) Strait of Kerch, ...
(now in
Ukraine Ukraine ( uk, Україна, Ukraïna, ) is a country in Eastern Europe. It is the second-largest European country after Russia, which it borders to the east and northeast. Ukraine covers approximately . Prior to the ongoing Russian inv ...
) to a Karaite Jewish family.


Life and career

Abram Besicovitch studied under the supervision of
Andrey Markov Andrey Andreyevich Markov, first name also spelled "Andrei", in older works also spelled Markoff) (14 June 1856 – 20 July 1922) was a Russian mathematician best known for his work on stochastic processes. A primary subject of his research lat ...
at the
St. Petersburg University Saint Petersburg State University (SPBU; russian: Санкт-Петербургский государственный университет) is a public research university in Saint Petersburg, Russia. Founded in 1724 by a decree of Peter t ...
, graduating with a PhD in 1912. He then began research in
probability theory Probability theory is the branch of mathematics concerned with probability. Although there are several different probability interpretations, probability theory treats the concept in a rigorous mathematical manner by expressing it through a set o ...
. He converted to
Eastern Orthodoxy Eastern Orthodoxy, also known as Eastern Orthodox Christianity, is one of the three main Branches of Christianity, branches of Chalcedonian Christianity, alongside Catholic Church, Catholicism and Protestantism. Like the Pentarchy of the first m ...
, joining the
Russian Orthodox Church , native_name_lang = ru , image = Moscow July 2011-7a.jpg , imagewidth = , alt = , caption = Cathedral of Christ the Saviour in Moscow, Russia , abbreviation = ROC , type ...
, on marrying in 1916. He was appointed professor at the University of Perm in 1917, and was caught up in the
Russian Civil War , date = October Revolution, 7 November 1917 – Yakut revolt, 16 June 1923{{Efn, The main phase ended on 25 October 1922. Revolt against the Bolsheviks continued Basmachi movement, in Central Asia and Tungus Republic, the Far East th ...
over the next two years. In 1920 he took a position at the
Petrograd University Saint Petersburg State University (SPBU; russian: Санкт-Петербургский государственный университет) is a public research university in Saint Petersburg, Russia. Founded in 1724 by a decree of Peter the G ...
. In 1924 he went to
Copenhagen Copenhagen ( or .; da, København ) is the capital and most populous city of Denmark, with a proper population of around 815.000 in the last quarter of 2022; and some 1.370,000 in the urban area; and the wider Copenhagen metropolitan ar ...
on a
Rockefeller Fellowship The Rockefeller Foundation is an American private foundation and philanthropic medical research and arts funding organization based at 420 Fifth Avenue, New York City. The second-oldest major philanthropic institution in America, after the Carn ...
, where he worked on
almost periodic function In mathematics, an almost periodic function is, loosely speaking, a function of a real number that is periodic to within any desired level of accuracy, given suitably long, well-distributed "almost-periods". The concept was first studied by Haral ...
s under
Harald Bohr Harald August Bohr (22 April 1887 – 22 January 1951) was a Danish mathematician and footballer. After receiving his doctorate in 1910, Bohr became an eminent mathematician, founding the field of almost periodic functions. His brother was the No ...
. A type of function space in that field now bears his name. After a visit to
G.H. Hardy Godfrey Harold Hardy (7 February 1877 – 1 December 1947) was an English mathematician, known for his achievements in number theory and mathematical analysis. In biology, he is known for the Hardy–Weinberg principle, a basic principle of pop ...
at the
University of Oxford , mottoeng = The Lord is my light , established = , endowment = £6.1 billion (including colleges) (2019) , budget = £2.145 billion (2019–20) , chancellor ...
, he had appointments at the
University of Liverpool , mottoeng = These days of peace foster learning , established = 1881 – University College Liverpool1884 – affiliated to the federal Victoria Universityhttp://www.legislation.gov.uk/ukla/2004/4 University of Manchester Act 200 ...
in 1926, and 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 1927. Besicovitch moved to Cambridge University in 1927, and by 1950 he had been appointed to the Rouse Ball Chair of Mathematics, which he held until his retirement in 1958, he then toured the US for eight years before returning to Trinity College Cambridge until his death in 1970. He was appointed Lecturer in the Faculty of Mathematics, and therefore received recognition as a Cambridge MA by 'Special Grace' on 24 November 1928. He worked mainly on
combinatorial methods In proving results in combinatorics several useful combinatorial rules or combinatorial principles are commonly recognized and used. The rule of sum, rule of product, and inclusion–exclusion principle are often used for enumerative purposes. B ...
and questions in
real analysis In mathematics, the branch of real analysis studies the behavior of real numbers, sequences and series of real numbers, and real functions. Some particular properties of real-valued sequences and functions that real analysis studies include converg ...
, such as the
Kakeya needle problem In mathematics, a Kakeya set, or Besicovitch set, is a set of points in Euclidean space which contains a unit line segment in every direction. For instance, a disk of radius 1/2 in the Euclidean plane, or a ball of radius 1/2 in three-dimensio ...
and the
Hausdorff-Besicovitch dimension In mathematics, Hausdorff dimension is a measure of ''roughness'', or more specifically, fractal dimension, that was first introduced in 1918 by mathematician Felix Hausdorff. For instance, the Hausdorff dimension of a single point is zero, of ...
. These two particular areas have proved increasingly important as the years have gone by. The
Kovner–Besicovitch measure In plane geometry the Kovner–Besicovitch measure is a number defined for any bounded convex set describing how close to being centrally symmetric it is. It is the fraction of the area of the set that can be covered by its largest centrally symmet ...
of the central symmetry of planar convex sets is also named after him. He was also a major influence on the economist
Piero Sraffa Piero Sraffa (5 August 1898 – 3 September 1983) was an influential Italian economist who served as lecturer of economics at the University of Cambridge. His book ''Production of Commodities by Means of Commodities'' is taken as founding the neo- ...
, after 1940, when they were both Fellows of
Trinity College, Cambridge Trinity College is a constituent college of the University of Cambridge. Founded in 1546 by Henry VIII, King Henry VIII, Trinity is one of the largest Cambridge colleges, with the largest financial endowment of any college at either Cambridge ...
, and on
Dennis Lindley Dennis Victor Lindley (25 July 1923 – 14 December 2013) was an English statistician, decision theorist and leading advocate of Bayesian statistics. Biography Lindley grew up in the south-west London suburb of Surbiton. He was an only child an ...
, one of the founders of the
Bayesian Thomas Bayes (/beɪz/; c. 1701 – 1761) was an English statistician, philosopher, and Presbyterian minister. Bayesian () refers either to a range of concepts and approaches that relate to statistical methods based on Bayes' theorem, or a followe ...
movement in the United Kingdom. He was J.E. Littlewood's successor in 1950 in the Rouse Ball chair at 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 ...
, retiring in 1958. He died in Cambridge.


Awards and honours

Besicovitch was in 1934 made FRS and in 1952 won the
Sylvester Medal The Sylvester Medal is a bronze medal awarded by the Royal Society (London) for the encouragement of mathematical research, and accompanied by a £1,000 prize. It was named in honour of James Joseph Sylvester, the Savilian Professor of Geometry a ...
from the
Royal Society The Royal Society, formally The Royal Society of London for Improving Natural Knowledge, is a learned society and the United Kingdom's national academy of sciences. The society fulfils a number of roles: promoting science and its benefits, re ...
. He received in 1950 the ''
De Morgan Medal The De Morgan Medal is a prize for outstanding contribution to mathematics, awarded by the London Mathematical Society. The Society's most prestigious award, it is given in memory of Augustus De Morgan, who was the first President of the societ ...
'' of the
London Mathematical Society The London Mathematical Society (LMS) is one of the United Kingdom's learned societies for mathematics (the others being the Royal Statistical Society (RSS), the Institute of Mathematics and its Applications (IMA), the Edinburgh Mathematical S ...
. He was a visiting scholar at the
Institute for Advanced Study The Institute for Advanced Study (IAS), located in Princeton, New Jersey, in the United States, is an independent center for theoretical research and intellectual inquiry. It has served as the academic home of internationally preeminent scholar ...
in the fall of 1954. Besicovitch's candidacy for the Royal Society reads: The asteroid '' 16953 Besicovitch'' is named in his honour. A portrait of Besicovitch by
Eve Goldsmith Coxeter Eve (; ; ar, حَوَّاء, Ḥawwāʾ; el, Εὕα, Heúa; la, Eva, Heva; Syriac language, Syriac: romanized: ) is a figure in the Book of Genesis in the Hebrew Bible. According to the origin story, "Creation myths are symbolic stories de ...
is in the collection of
Trinity College, Cambridge Trinity College is a constituent college of the University of Cambridge. Founded in 1546 by Henry VIII, King Henry VIII, Trinity is one of the largest Cambridge colleges, with the largest financial endowment of any college at either Cambridge ...
.


Quotation

* ''A mathematician's reputation rests on the number of bad proofs he has given.''Besicovitch, quoted in
John Edensor Littlewood John Edensor Littlewood (9 June 1885 – 6 September 1977) was a British mathematician. He worked on topics relating to analysis, number theory, and differential equations, and had lengthy collaborations with G. H. Hardy, Srinivasa Ramanu ...
, ''A mathematician's miscellany'', Methuen 1953, p.42. In Littlewood's words ''Pioneer work is clumsy.''


References


External links

*
Besicovitch’s version of the card game Svoi Kozyri.
{{DEFAULTSORT:Besicovitch, Abram Samoilovitch 1891 births 1970 deaths People from Berdiansk People from Taurida Governorate 20th-century Ukrainian mathematicians 20th-century British mathematicians Jewish scientists Soviet emigrants to the United Kingdom] British Jews Ukrainian Jews Ukrainian mathematicians Saint Petersburg State University alumni Perm State University faculty Rectors of Perm State University Fellows of Trinity College, Cambridge Rouse Ball Professors of Mathematics (Cambridge) Institute for Advanced Study visiting scholars Converts to Eastern Orthodoxy from Judaism Fellows of the Royal Society Rockefeller Fellows