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CAYLEY, ARTHUR (1821-1895)

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Originally appearing in Volume V05, Page 590 of the 1911 Encyclopedia Britannica.
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CAYLEY, See also:ARTHUR (1821-1895) , See also:English mathematician, was See also:born at See also:Richmond, in See also:Surrey, on the 16th of See also:August 1821, the second son of See also:Henry Cayley, a See also:Russian See also:merchant, and Maria Antonia Doughty. His See also:father, Henry Cayley, retired from business in 1829 and settled in See also:Blackheath, where Arthur was sent to a private school kept by the Rev. G. B. F. Potticary; at the See also:age of fourteen he was transferred to See also:King's See also:College school, See also:London. He soon showed that he was a boy of See also:great capacity, and in particular that he was possessed of remarkable mathematical ability. On the See also:advice of the school authorities he was entered at Trinity College, See also:Cambridge, as a pensioner. He was there coached by See also:William See also:Hopkins of Peterhouse, was admitted a See also:scholar of the college in May 184o, and graduated as See also:senior wrangler in 1842, and obtained the first See also:Smith's See also:Prize at the next examination. In 1842, also, he was elected a See also:fellow of Trinity, and became a See also:major fellow in 1845, the See also:year in which he proceeded to the M.A. degree. He was assistant See also:tutor of Trinity for three years. In 1846, having decided to adopt the See also:law as a profession, he See also:left Cambridge, entered at See also:Lincoln's See also:Inn, and became a See also:pupil of the conveyancer Mr See also:Christie.

He was called to the See also:

bar in 1849, and remained at the bar fourteen years, till 1863, when he was elected to the new Sadlerian See also:chair of pure See also:mathematics in the university of Cambridge. He settled at Cambridge in the same year, and married Susan, daughter of See also:Robert See also:Moline of See also:Greenwich. He continued to reside in Cambridge and to hold the professorship till his See also:death, which occurred on the 26th of See also:January 1895. From the See also:time he went first to Cambridge till his death he was constantly engaged in mathematical investigation. The number of his papers and See also:memoirs, some of them of considerable length, exceeds Boo; they were published, at the time they were composed, in various scientific See also:journals in See also:Europe and See also:America, and are now embodied, through the enter-prise of the syndics of the Cambridge University See also:Press, in thirteen large See also:quarto volumes. These See also:form an enduring See also:monument to his fame. He wrote upon nearly every subject of pure mathematics, and also upon theoretical See also:dynamics and spherical and See also:physical See also:astronomy. He was quite as much a geometrician as he was an See also:analyst. Among his most remarkable See also:works may be mentioned his ten memoirs on quantics, commenced in 1854 and completed in 1878; his creation of the theory of matrices; his researches on the theory of See also:groups; his memoir on abstract See also:geometry, a subject which he created; his introduction into geometry of the " See also:absolute "; his researches on the higher singularities of curves and surfaces; the See also:classification of cubic curves; additions to the theories of rational transformation and See also:correspondence; the theory of the twenty-seven lines that See also:lie on a cubic See also:surface; the theory of elliptic functions; the attraction of ellipsoids; the See also:British Association Reports, 1857 and 1862, on See also:recent progress in See also:general and See also:special theoretical dynamics, and on the See also:secular See also:acceleration of the See also:moon's mean See also:motion. He is justly regarded as one of the greatest of mathematicians. Competent See also:judges have compared him to Leonhard See also:Euler for his range, See also:analytical See also:power and introduction of new and fertile theories. He was the recipient of nearly every See also:academic distinction that can be conferred upon an eminent See also:man of See also:science.

Amongst others may be noted honorary degrees by the See also:

universities of See also:Oxford, See also:Dublin, See also:Edinburgh, See also:Gottingen, See also:Heidelberg, See also:Leiden and See also:Bologna. He was. fellow or See also:foreign corresponding member of the See also:French See also:Institute, the See also:academies of See also:Berlin, Gottingen, St See also:Petersburg, See also:Milan, See also:Rome, Leiden, See also:Upsala and See also:Hungary; and he was nominated an officer of the See also:Legion of See also:Honour by See also:President See also:Carnot. At various times he was president of the Cambridge Philosophical Society, of the London Mathematical Society and of the Royal Astronomical Society. He was elected a fellow of the Royal Society in 1852, and received from that See also:body a Royal See also:medal in 1859 and the See also:Copley medal in 1882. He also received the De See also:Morgan medal from the London Mathematical Society, and the See also:Huygens medal from Leiden. His nature was See also:noble and generous, and the universal appreciation of this fact gave him great See also:influence in his university. His portrait, by Lowes See also:Dickinson, was placed in the See also:hall of Trinity College in 1874, and his bust, by Henry See also:Wiles, in the library of the same college in 1888. (P. A.

End of Article: CAYLEY, ARTHUR (1821-1895)

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