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Manuscript of De Morgan's introductory lecture delivered at the opening of classes in mathematics at University College London on 5 November 1828. Appended are notes for another lecture.

Mathematical fragments, letters, and papers.

Twenty-three manuscript notebooks on mathematical statistics which include 'The theory of deviation from an average', the introduction to 'An algebra of evolution', and 'Problems relating to the mathematical treatment of statistics: periodicity and deviation'.

Student's notes on lectures on Algebraic Geometry and the Calculus, given by Augustus De Morgan at University College London from 11 March to 13 May 1847.

Augustus De Morgan's mathematical tracts, copied by John Power Hicks from the original manuscripts in the Library of University College London.

Papers, 1840-1972, of and relating to Karl Pearson, comprising personal and family papers, 1844-1937 (Ref: 1-45); lectures and lecture notes, 1874-1972 (Ref: 46-84); papers relating to literary and scientific work [1870]-1936 (Ref: 85-229); papers relating to the history of the Department of Applied Statistics, University College London, 1895-1936 (Ref: 230-258); papers relating to the work of the Department of Statistics and of Pearson's colleagues, 1895-1962 (Ref: 267-346); papers relating to the journal Biometrika, 1900-1954 (Ref: 347-570); papers relating to Pearson's The life, letters and labours of Francis Galton, 1840-1931 (Ref: 571-598); papers relating to Pearson's wartime research (1914-1918), 1905-1923 (Ref: 599-612); acquired papers, 1842-1923 (Ref: 613-623); general correspondence [1843-1972] (Ref: 624-933). The collection also includes papers of Walter Frank Raphael Weldon (Jodrell Professor of Zoology and Comparative Anatomy at University College London), 1860-1935 (Ref: 259-266).

Letters of thanks from Augustus De Morgan to F Hendriks for sending him certain pamphlets and publications.

Undated lecture notes on geometry: two closely written sheets pasted onto an otherwise unused notebook.

'Elements of statics', a volume written for publication at the proposal of the Society for the Diffusion of Useful Knowledge, though it was never actually published. De Morgan used it as evidence of his work and knowledge when applying for the Mathematics Chair at University College London in 1827.

Archives of the London Mathematical Society, 1853-1994, the bulk comprising c500 letters to Thomas Archer Hirst, 1853-1892, mainly in his capacity as a member of the LMS, including a letter inviting him to the first meeting of the Society, and also reflecting his travels in Europe, including letters from prominent European mathematicians. The letters include several from Henry M Bompas, 1865, 1874-1879; Arthur Cayley, 1858-1891 and undated; Michel Chasles, 1858-1871 and undated; Luigi Cremona, 1864-1892 and undated; Augustus De Morgan, 1861-1869; Georges-Henri Halphen, 1875-1879; Amédée Mannheim, 1866-1891; Julius Plücker, 1866-1868; William Roberts, 1859-1865 and undated; George Salmon, 1858-1878; [Hermann Cäsar Hannibal?] Schubert, 1877-1884; Henry John Stephen Smith, 1865-1876 and undated; William Spottiswoode, 1862, 1865, 1883; Cyparissos Stephanos, 1877-1887; Rudolf Sturm, 1874-1892; James Joseph Sylvester, 1859-1888 and undated; Barnaba Tortolini, 1858-1863; Richard Townsend, 1865-1878; John Van Voorst, 1864-1867; and there are a few letters from Hirst himself. The archive also includes a bound notebook containing a manuscript catalogue of the LMS library by R A Sampson, 1891-1893; miscellaneous administrative correspondence and papers, 1964-1975; membership lists, 1966-1972; binder of papers of H T J Norton on mathematics, with correspondence, largely to E H Neville, regarding their disposition in the LMS archive in c1938, and also including bibliographical material on elliptic functions, apparently compiled by Neville [1930s-1950s]; miscellaneous letters and papers on research, 1986, 1992-1994.

Undated mathematical fragments.

Notes for an introductory lecture in the Faculty of Arts and Laws at University College London.

Eight letters from Sylvester to his niece, Contessa Edith Gigliucci, 1865-1896, and two letters to Count Mario Gigliucci, 1896.

Papers relating to the history of the De Morgan family: genealogical notes, family trees, etc. Includes cuttings from newspapers, periodicals, and several letters.

Correspondence between Augustus De Morgan and George Boole, Professor of Mathematics at Queen's College Cork, dated 1842-1864. The collection also includes letters from John Stuart Mill, and letters from various correspondents mostly dated 1846-1848.

Correspondence between De Morgan and Sophia Frend (two items), 1836 and undated; letter from De Morgan to Sir Jonathan Pollock, 1865; miscellaneous undated verses.