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WILLIAM SPOTTISWOODE (1825-1883)

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Originally appearing in Volume V25, Page 736 of the 1911 Encyclopedia Britannica.
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WILLIAM See also:SPOTTISWOODE (1825-1883)  , See also:English mathematician and physicist, was See also:born in See also:London on the 11th of See also:January 1825 . His See also:father, See also:Andrew See also:Spottiswoode, who was descended from an See also:ancient Scottish See also:family, represented See also:Colchester in See also:parliament for some years, and in 1831 became junior partner in the See also:firm of See also:Eyre & Spottiswoode, printers . See also:William was educated at Laleham, See also:Eton, See also:Harrow and Balliol See also:College, See also:Oxford . His See also:bent for See also:science showed itself while he was still a schoolboy, and indeed his removal from Eton to Harrow is said to have been occasioned by an accidental See also:explosion which occurred whilst he was performing an experiment for his own amusement . At Harrow he obtained in 1842 a See also:Lyon scholarship, and at Oxford in 1845 a first-class in See also:mathematics, in 1846 the junior and in 1847 the See also:senior university mathematical scholarship . In 1846 he See also:left Oxford to take his father's See also:place in the business, in which he was engaged until his See also:death . In 1847 he issued five See also:pamphlets entitled Meditationes analyticae . This was his first publication of See also:original mathematical See also:work; and from this See also:time scarcely a See also:year passed in which he did not give to the See also:world further mathematical researches . In 1856 Spottiswoode travelled in eastern See also:Russia, and in 186o in Croatia and See also:Hungary; of the former expedition he has left an interesting See also:record entitled A Tarantasse See also:Journey through Eastern Russia in the Autumn of 1856 (London, 1857) . In 187o he was elected See also:president of the London Mathematical Society . In 1871 he began to turn his See also:attention to experimental physics, his earlier researches bearing upon the polarization of See also:light and his later work upon the See also:electrical See also:discharge in rarefied gases . He wrote a popular See also:treatise upon the former subject for the " Nature " See also:Series (1874) .

In 1878 he was elected president of the See also:

British Association, and in the same year president of the Royal Society, of which he had been a See also:fellow since 1853 . He died in London of typhoid See also:fever on the 27th of See also:June 1883, and was buried in See also:Westminster See also:Abbey . As a mathematician he occupied himself with many branches of his favourite science, more especially with higher See also:algebra, including the theory of determinants, with the See also:general calculus of symbols, and with the application of See also:analysis to See also:geometry and See also:mechanics . The following brief See also:review of his mathematical work is quoted from the obituary See also:notice which appeared in the Proceedings of the Royal Society (xxxviii . 34) : " The interesting series of communications on the contact of curves and surfaces which are contained in the Philosophical Transactions of 1862 and subsequent years would alone See also:account for the high See also:rank he obtained as a mathematician .... The mastery which he had obtained over the mathematical symbols was so See also:complete that he never shrank from the use of expressions, however complicated—See also:nay, the more complicated they were the more he seemed to revel in them—provided they did not See also:sin against the ruling spirit of all his work—symmetry . To a mind imbued with the love of mathematical symmetry the study of determinants had naturally every attraction . In 1851 Mr Spottiswoode published in the See also:form of a pamphlet an account of some elementary theorems on the subject . This having fallen out of See also:print, permission was sought by the editor of Crelle to reproduce it in the pages of that See also:journal . Mr Spottiswoode granted the See also:request and undertook to revise his work . The subject had, however, been so extensively See also:developed in the See also:interim that it proved necessary not merely to revise it but entirely to rewrite the work, which became a memoir of 116 pages . To this, the first elementary treatise on determinants, much of the rapid development of the subject is due .

The effect of the study on Mr Spottiswoode's own methods was most pronounced; there is scarcely a See also:

page of his mathematical writings that does not bristle with determinants." His papers, numbering over 100, were published principally in the Philosophical Transactions, Proceedings of the Royal Society, Quarterly Journal of Mathematics, Proceedings of the London Mathematical Society and Crelle, and one or two in the Comptes rendus of the See also:Paris See also:Academy; a See also:list of them, arranged according to the several See also:journals in which they originally appeared, with See also:short notes upon the less See also:familiar See also:memoirs, is given in Nature, See also:xxvii . 599 .

End of Article: WILLIAM SPOTTISWOODE (1825-1883)
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