- James Joseph Sylvester
Infobox Scientist

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name = James Joseph Sylvester

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caption = James Joseph Sylvester (1814-1897)

birth_date = birth date|1814|09|03

birth_place =London ,England

death_date = death date and age|1897|03|15|1814|09|03

death_place =Oxford ,Oxfordshire ,England

residence = flag|USA

citizenship =

nationality = flag|UK

religion =Judaism

ethnicity =

field =Mathematics

work_institutions =Johns Hopkins University

alma_mater =

doctoral_advisor =

doctoral_students =

notable_students =Isaac Todhunter Florence Nightingale

known_for =Matrix theory

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footnotes =**James Joseph Sylvester**(September 3 ,1814 London –March 15 ,1897 Oxford ) was an Englishmathematician . He made fundamental contributions tomatrix theory ,invariant theory ,number theory , partition theory andcombinatorics . He played a leadership role in American mathematics in the later half of the 19th century as a professor at theJohns Hopkins University and as founder of theAmerican Journal of Mathematics . At his death, he was professor at Oxford.**Biography**Sylvester was born

**James Joseph**. His father, Abraham Joseph, was a merchant. The Joseph family wereJewish , and James's career suffered for his being Jewish. James adopted the surname**Sylvester**when his older brother did so upon emigration to theUnited States —a country which at that time required all immigrants to have a given name, a middle name, and a surname. At the age of 14, Sylvester started attending theUniversity of London , where he was a student ofAugustus De Morgan . His family withdrew him from the University after he was accused of threatening a fellow student with a knife. Following this, he attended theLiverpool Royal Institution . Though he excelled academically, Sylvester was tormented by his fellow students on account of his Jewish origins.Fact|date=January 2008 Because of the abuse he received, he ran away, taking a boat toDublin . While there, he was recognized on the street byRichard Keatinge who was Judge of the Prerogative Court of Ireland, and whose wife was a cousin of Sylvester; Keatinge arranged for the boy's return to Liverpool.Fact|date=July 2008Sylvester began his study of

mathematics at St John's College,Cambridge in 1831. Although his studies were interrupted for almost two years due to a prolonged illness, nevertheless ranked second in Cambridge's famous mathematical examination, thetripos , for which he in 1837. However, Sylvester was not issued a degree, because graduates at that time were required to state their acceptance of theThirty-Nine Articles of theChurch of England , and Sylvester, beingJewish refused to do so. For the same reason, he was unable to compete for a Fellowship or obtain aSmith's prize . In 1838 Sylvester became professor of natural philosophy at University College LondonUCL . In 1841, he was awarded a BA and an MA byTrinity College, Dublin . In the same year he moved to the United States to become a professor at theUniversity of Virginia for about six months, and returned toEngland in November 1843.On his return to England he studied law, alongside fellow British lawyer/mathematician

Arthur Cayley , with whom he made significant contributions tomatrix theory while working as anactuary . One of his private pupils wasFlorence Nightingale . He did not obtain a position teaching university mathematics until 1855, when he was appointed professor of mathematics at theRoyal Military Academy, Woolwich , from which he retired in 1869, because the compulsory retirement age was 55. The Woolwich academy initially refused to pay Sylvester his full pension, and only relented after a prolonged public controversy, during which Sylvester took his case to the letters page of "The Times ".One of Sylvester's lifelong passions was for poetry; he read and translated works from the original French, German, Italian, Latin and Greek, and many of his mathematical papers contain illustrative quotes from classical poetry. In 1870, following his early retirement, Sylvester published a book entitled "

The Laws of Verse " in which he attempted to codify a set of laws forprosody in poetry.In 1877 Sylvester again crossed the

Atlantic Ocean to become the inaugural professor of mathematics at the newJohns Hopkins University inBaltimore, Maryland . His salary was $5,000 (quite generous for the time), which he demanded be paid ingold . In 1878 he founded the "American Journal of Mathematics ". The only other mathematical journal in the U.S. at that time was the "Analyst", which eventually became the "Annals of Mathematics ".In 1883, he returned to England to take up the Savilian Professor of Geometry at

Oxford University . He held this chair until his death, although in 1892 the University appointed a deputy professor to the same chair.Sylvester invented a great number of mathematical terms such as

discriminant . He has given a name toEuler's totient function φ("n"). His collected scientific work fills four volumes. In 1880, the Royal Society of London awarded Sylvester theCopley Medal , its highest award for scientific achievement; in 1901, it instituted theSylvester Medal in his memory, to encourage mathematical research.Sylvester House, a portion of an undergraduate dormitory at Johns Hopkins, is named in his honour."'

**References***Unless otherwise noted, information in this article is based on: cite web

url= http://www-history.mcs.st-andrews.ac.uk/Biographies/Sylvester.html

title= James Joseph Sylvester

accessdate= 2008-07-08

last= O'Connor

first= John J.

coauthors= Edmund F. Robertson

year= 2005

month= August

work=MacTutor History of Mathematics archive

publisher=University of St Andrews **Bibliography**Primary:

* 1904-10. "Collected Mathematical Papers" in 4 vols. Edited by H. F. Baker. New York. ( [*http://www.archive.org/details/collectedmathem01sylvrich PDF/DjVu*] copy of volume 1 atInternet Archive ; [*http://quod.lib.umich.edu/cgi/t/text/text-idx?c=umhistmath&idno=AAS8085 PDF copy*] of Vols. 2-4 at University of Michigan)* 1839. "On rational derivation from equations of coexistence, that is to say, a new and extended theory of elimination, Part I," "Philos. Mag. 15": 428-435.

*1857. "On the partition of numbers," "Quart. J. Math. I": 141-152.

*1869. "Presidential address to Section A of the British Association" in Ewald, William B., ed., 1996. "From Kant to Hilbert: A Source Book in the Foundations of Mathematics", 2 vols. Oxford Uni. Press: 511-22.

*1897. "Outlines of seven lectures on the partition of numbers," "Proc. Lond. Math. Soc. 28": 33-96.Secondary:

* Franklin, "Address Commemorative of Sylvester", (Baltimore, 1896)**ee also***Chebyshev–Sylvester constant

*Coin problem

*Greedy algorithm for Egyptian fractions

*Sylvester's sequence

*Sylvester's formula for evaluating matrix functions

*Sylvester's determinant theorem

*Sylvester matrix (resultant matrix)

*Sylvester–Gallai theorem

*Sylvester's law of inertia **External links***

*

* [*http://www.hti.umich.edu/cgi/t/text/text-idx?c=umhistmath;page=browse;key=author;cc=umhistmath;value=sy Collected papers*] – from theUniversity of Michigan Historical Math Collection

* [*http://rpo.library.utoronto.ca/poet/403.html Selected Poetry of James Joseph Sylvester*]

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