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Born, Glasgow, 1858; educated at Liverpool College; Trinity College Cambridge; Fellow of Trinity College, 1881-1910; Professor of Mathematics, University College, Liverpool, 1882-1883; Lecturer and Assistant Tutor, Trinity College Cambridge; Lecturer in Mathematics, Cambridge University 1884-1895; elected Fellow of the Royal Society, 1886; member of the Council, Senate of Cambridge University, 1890-1910; member of the Council, Royal Society, 1893-1895; Sadlerian Professor of Pure Mathematics, Cambridge, 1895-1910; Royal Medallist, 1897; President, Section A of the British Association (Toronto), 1897, (South Africa), 1905; President of the Mathematical Association, 1903-1904, 1936; member, Treasury Committee on the Scottish Universities, 1909; Professor of Mathematics, Imperial College, 1913-1923; Emeritus Professor, Imperial College; died, 1942.
Publications: include: A treatise on differential equations (Macmillan & Co, London, Cambridge printed, 1885); Theory of Differential Equations 6 vol (University Press, Cambridge, 1890-1906); Theory of Functions of a Complex Variable (University Press, Cambridge, 1893); Lectures on the Differential Geometry of Curves and Surfaces (University Press, Cambridge, 1912); Calculus of Variations (University Press, Cambridge, 1927); Geometry of Four Dimensions 2 vol (University Press, Cambridge, 1930); Intrinsic Geometry of Ideal Space 2 vol (Macmillan & Co, London, 1935).