Note-books of William Dobinson Halliburton chiefly of lecture notes taken while a student at University College, London. Author's holograph MSS. Produced in London, 1874-1902.

Commonplace books of extracts and notes from works published mainly during the last quarter of the 17th century and early 18th century, relating to science, medicine and mathematics. Written mainly in Latin or Italian, but with some entries in French. Author's holograph MSS. Illustrated by numerous folding and other pen-drawn diagrams and figures, and a few wash-drawings. The numeration of the volumes has been added.

Vol. I In universam scientiam mechanicam institutiones (80 ll. 3 folding pen-and-wash drawings). II Optica. Catoptrica. Dioptrica (56 ll. 4 folding pen-drawings). III Extracts and notes mainly in Latin, but a few in French on medical, scientific, mathematical and philosophical works, mostly published between c 1685 and 1700: with notices of others on Church history and doctrine, Jansenists, etc. There is a long entry towards the end of the volume on the 'Medicina mentis' by Ehrenfried Walter von Tschirnhausen [1651-1708], (352 ll. 1 folding wash-drawing, 8 folding pen-drawings, wash-and pen-drawing in the text). IV A similar collection, but with a preponderance of entries in French, included in which is a long article under the title: 'La vie de demoiselle Antoinette Bourignon [1616-1680], écrite par elle-même [etc.]' Amsterdam. 1683. The date 1705 is found on the verso of the last leaf (312 ll., 5 folding pen-drawings, and a few marginal pen-drawn figures, etc.) V Notes and extracts on geometry, mechanics, optics, physics, etc. on Cartesian principles: in Italian and Latin. At the end is a long entry entitled: 'Fisica generale sopra il lume, ed i colori per il P. Mallebranche (i.e. Nicolas de Malebranche [1638-1715]) dall'Istoria dell'Accademia delle Scienze, 1699' (224 ll. 6 folding pen-drawings). VI Netwon (Sir I.). Optica: in Latin (160 ll. 11 folding pen-drawings and marginal pen-drawn figures, etc.). VII Extracts from Newton's works on astronomy: conics, mechanics, physics, etc.: in Latin (246 ll., 10 folding pen-drawn figures, etc.). VIII Extracts on astronomy, geography, geometry, and chronology: in Latin. Written in 1713 'in hoc anno'. An added note on the first page contains the date 1714 (208 ll. 8 folding pen-drawn figures, and marginal figures, 1 folding Table). IX Sanctorius (S.). Ex commentariis in Avicennam et in Aphoirismos Hippocratis (256 ll.). A note on 'Colica' in Aphorism XXV is dated 1716. X Extracts and notes from 17th cent. medical works, notes of cases, medical receipts, etc.: in Latin (196 ll.). Illustrated with a full-page pen-drawing of a male head. Against this Marmi has written: 'Exhibeo schema communicatum mihi ab excellentissimo D[octore] Schustonio [?] Practico Esslingense ... Elegantissime Burrhus eques Mediolani (i.e. Giuseppe Francesco Borri [1627-1695]) apud Tackium (Johann Tackius [1617-1675]) Phasis p. 160 uti Macrocosmi Compendium homo existimatur, ita homo sive humanus mundus in se quoque habet proprium compendium in vultu et imago nostri corporis est facies'. The illustration shows the facial nerves supposed to correspond with those of other parts of the body. XI A similar volume, mainly in Latin, but with some entries in Italian (318 ll.). There are long extracts and notes on the works of Galen and Hippocrates. A marginal note on the 6th leaf is dated Naples 1714: another entry on 'Aqua Tofana' is dated 1715 apparently at Naples.

Pasted down as end-papers at the beginning of Vol. IV is a small folio sheet containing an engraving of 'Triangulus australis' above a decorated wreath, which includes a small meallion-portrait of Werner XVII Comes de Hapsburgo. It is numbered 132, and is apparently extracted from an unidentified volume of engravings. The identification of the author of these MSS. is based on two entries. The first is in Vol. III is a marginal note on the verso of the 12th leaf of the entry of the 'Medicina mentis' of Tschirnhausen noted above. It begins: 'Mihi Jos. Herm. M[armi]. The expansion of 'Herm' into an Italian Christian name seems doubtful, but it could be 'Hermannus' or 'Herminius' or even 'Hermes' or 'Hermete'. The second entry is however decisive. It is found also in a marginal note on the eating of cucumbers in the summer, in connexion with the onset of bile after drinking in hot weather as observed by Galen. This is definitely signed 'I. H. Marmi'. Produced in Naples?

Papers of James Ware including notes for lectures on the eye and its disorders, notes on anatomy and mathematics, and a partnership indenture, 1760s-1780s.

Papers of Jean-Baptiste Biot, c 1800-1937, including correspondence and a translation of Biot's Memoir on the Circular Zodiac of Denderah.

Papers of George Macdonald dealing predominantly with the later stages of his career, 1938-1977, although there is some material relating to his pre-war activities. They reflect his work as an international figure in the prevention and control of malaria, his involvement with numerous governmental and non-governmental bodies, his relationship with colleagues, his numerous tours on professional business, and his research and writing.

Of the twelve volumes in this class, two relate to the society of East India Commanders; one, 1780 to 1833, records wagers between members and promises of gifts to the society upon such eventualities as marriage or leaving the service; the other is an account book, 1825 to 1879. The remaining eight volumes are 'Elements of Navigation' by pupils of Christ's Hospital Mathematical School; the earliest is dated 1723 and the latest is c 1845. All are very carefully executed and the subjects include arithmetic, geometry, astronomy, gunnery and navigation; the majority are illustrated with diagrams, maps, pen and ink sketches or watercolours.

Papers of Bernard Albert Hunn, 1949-[1982], relating to his career and research, including: copy of Hunn's degree certificate from King's College London, 1949; notes on elliptic functions, 1950; correspondence, 1951-1953, relating chiefly to the publication of scientific papers on aeronautics; reports from Hawker Aircraft Ltd design department, 1951-1953; technical papers and notes by Hunn, 1952-1956, relating to aeronautical mathematics; draft monograph by Hunn on 'Inertial guidance', 1964; correspondence, chiefly with James Allason, MP, concerning the British defence industry and world markets, 1964-1965; patent applications for 'improved guiding means for spinning missiles', 1959 and for a 'mind simulator' (an electronic model of the human mind), 1982, with essays and notes on the function of the human mind; photographs of a interlock relay system and of Revenue Systems component parts for a card payment system to be attached to a petrol pump; and memoir concerning Hunn's work in Nigeria, 1974-1978.

Material collected by Thompson, 1825-1915, and removed from books within the S P Thompson Rare Books collection housed within IET Library. It comprises correspondence (1890-1915) from contemporary physicists and mathematicians such as David James Blaikley, Sir William Henry Blagg, Sir Charles Tilston Bright, Hugh Longbourne Callendar, Henry Smith Carhart, Sir John Ambrose Fleming, Sir Richard Tetley Glazebrook, Oliver Heaviside, Gisbert Kapp, Phillip Kelland, Sir Oliver Lodge, Sir William Henry Preece, Albion T. Snell, Sir William Spottiswoode, and William Thompson, Baron Kelvin; and press cuttings, photographs, engravings, autographs and letters (1870-1916) relating to eminent scientists including Sir Cristopher Wren, Sir Isaac Newton, James Watt, William Herschel, Sir John Flamsteed, Alexander Von Humboldt, Charles Darwin, Louis Pasteur, Sir Charles Lyell, William Gilbert, Otto von Guericke, Robert Boyle, Benjamin Franklin, Joseph Priestley, Alessandro Volta, Sir Humphry Davy, Michael Faraday, Sir Charles Wheatstone, James Clerk Maxwell, Josiah Latimer Clark, Werner von Siemens, Alexander Graham Bell, Sebastian Ziani de Ferranti, and many others.

Papers of Rev George Fisher. The earliest items are two books of mathematical theorems, 1811 and 1813. There are volumes of notes and observations for both Fisher's Arctic voyages and for his period in the Mediterranean, accounts of later scientific work and abstracts of observations made by other scientists. This is the material which formed the basis of the scientific papers which he published in the Philosophical Transactions and elsewhere. There are letterbooks for Greenwich Hospital School from 1836 to 1863 (excepting the years 1858, 1859 and 1860) and other reports and papers relating to the School There are a number of items collected by Fisher The most important are Peter Puget's journal for March to May 1793 in the Chatham, storeship for Vancouver's expedition; a meteorological log also giving details of ship arrivals and departures at Madras, 1815 to 1816; Franklin's (q.v.) lunar observations on board the Trent in 1818 and Parry's (1790-1855) meteorological journal on his first two voyages in search of the North-West Passage in 1819 to 1820 and 1821 to 1823.

This class contains thirty-two volumes relating to the theory of navigation, mathematics and astronomy, fifteenth to nineteenth centuries. The earliest is Italian, written between 1470 and 1529, entitled 'Ragioni Antique Spettanti all Arte del Mare et Fabriche de Vaselli', which includes entries in many hands on navigational calculations, astronomy, astrology, sailing directions for the Mediterranean and the building and fitting of galleys. Chronologically, the next volume is the 'Regimento de la Declinacion del Sol', a Spanish navigator's manual, c 1500; the next is English, containing mathematical rules for measuring height and length, 1557; then follows 'L'Arte della Navigatione', Italian, with tables and moveable dials, 1567; and the last of the sixteenth century is by a Jesuit, Francisco da Costa (1567-1604). 'Arte de Navegar', written between 1596 and 1598 and illustrated with sketches of the astrolabe and compass. There are three seventeenth-century volumes; a treatise on astronomy by Thomas Willford entitled 'A genuine description and use of the perpetual calendar', 1654, which also contains a description of measures and of 'moveable fairs' around the country; a volume containing navigational exercises, often illustrated, by William Downman, written between 1685 and 1686, with a large amount of other information, including lists of ships, drawings of flags. poems, victualling and measures; and a workbook by Edward Ward, 1698, containing execises in navigation, astronomy and mathematics. The eleven eighteenth-century volumes include a copy of Robert Wright's 'Treatise on finding longitude at sea', 1726; a volume of lecture notes on navigation and astronomy given in Naples, 1755; and a volume in Turkish by Ibrahim Haggi, ca.1800, entitled 'Marifet Nameh' ('Encyclopedia of Knowledge'), on astronomy, architecture and geography. There are twelve nineteenth-century volumes dating between 1804 and 1883, all of which contain navigational and astonomical exercises transcribed by British seamen.

The collection contains correspondence related to the theme 'Scholars and Learned Ladies', including letter from Anna Gurney to Sir William Hooker, c. 1850. Correspondence dealing with the election of Miss Mary A Blagg as a Fellow of the Royal Astronomical Society. Extract from Professor Turner's introduction to Miss Blagg's 'Collated List of Lunar Formations'. Letters from Professor Turner. Letter from Frank Dyson. A short account of the life and work of Mary Blagg produced by her nieces, 1968. Correspondence in 1962 about the late Miss Pernel Strachey's typescript edition of the Emmanuel College manuscript. Admission of women Fellows to the Royal Society. Correspondence between Royal Society, Society for Women's Service, Mrs Hutton and Miss P Strachey, 1954. Correspondence between Lucy Norton, John Carter and Joan Bennett about some George Eliot letters and an article on them by Joan Bennett, 1968. Copy of a letter from Mrs Baines (Bedford College) to Miss Pernel Strachey about a tapestry for Newnham College, 1945. Letter from Myra Curtis (Newnham) to Pernel Strachey, 1945. Letter from Hertha Ayrton to Dr Gorthon, 1911. Autograph signatures of Margaret McNair Stokes, Mrs Agnata Frances Butle, Jane Ellen Harrison.

Papers of Augustus de Morgan, 1833-1870, comprise letters sent and received by De Morgan. Correspondents include: Miss Anne Sheepshanks and [her brother] Rev Richard Sheepshanks, Vice-Admiral W H Smyth, and Professor [Philip] Kelland of the University of Edinburgh.

Papers of Augustus de Morgan, 1859, comprise a letter to Mrs Bax [grandmother of the composer Sir Arnold Bax], enquiring whether she is comfortably settled at her new address; an obituary of Professor De Morgan is attached to the second sheet.

Letter from Baldassarre Boncompagni-Ludovisi, 1858, [To Augustus De Morgan]. Thanking De Morgan for his letter of 14 November 1858, giving information about Francesco Galigai's 'Pratica d'Arithmetica' (1548), and asking for further details. Letter enquires about the library of Dr [Daniel Mitford] Peacock and asks De Morgan to get Count [Guglielmo] Libri to send catalogues of sales he was to hold [in March and August 1859] in England and in Paris. Enquires about further editions of De Morgan's 'Arithmetical Books' (1847) and offers to get one printed in Rome.

(1) Letter from William Frend De Morgan of The Vale, King's Road, Chelsea to H F Heath, Librarian of the University of London, 20 Oct 1900. (2) Letter from William Frend De Morgan of Via Lorenzo Magnifico 25, Florence, Italy to H F Heath, Librarian of the University of London, 4 Nov 1900. Both letters relate to De Morgan's gift of notes and additions made by his father, Augustus De Morgan, for his Arithmetical Books.

Both letters are autograph, with signatures. Filed with a typescript copy of Dr Heath's reply to the first letter.

Letter from Michel Chasles of Paris to Augustus De Morgan, 8 Apr 1848. On algebraical formulae.

Autograph, with signature.

Letter from Michel Chasles of Paris to Augustus De Morgan, 17 May 1850. On mathematical matters.

Autograph, with signature.

Letter from Michel Chasles of Paris to Augustus De Morgan, 31 Aug 1852. On mathematical matters.

Autograph, with signature.

Letter from Michel Chasles of Paris to Augustus De Morgan, 4 Oct 1852. On mathematical matters.

Autograph, with signature.

2 letters to Owen Williams, 22-30 Nov 1806, relating to copper and timber production. Including 3 sheets of tables and calculations.

Papers of Thomas Wallace, 1719, comprising a volume written in Latin, containing case notes of patients; lists of symptoms, diseases, and treatments; rules and definitions of arithmetical progression; an article describing the volume, by E Muirhead Little, from the British Medical Journal, 8 Dec 1928; and a letter from the donor, W Reeve Wallace, 27 Mar 1934.

Papers of Thomas Wilson, mid to late 18th century, comprising a volume containing notes by Wilson, of lectures given by John Hunter. Including notes on astronomical and mathematical topics, c 1854.

Papers of Jacob Vale Asbury, 1816-1843, comprising a manuscript volume by Asbury, containing notes of the lectures of John Abernethy given at St Bartholomew's, 25 Jul 1816; notes titled Observations on the Pulse, by Dr Fordyce, 18 Sep 1816; notes titled Lectures on the Principle Operations of Surgery by Sir Everard Home, 1812; notes titled Cases and Original Observations, 1842; tables of statistics on the population of Enfield, and Great Britain; and mathematical calculations on the cubic inches of water in a box.

Papers of the Gregory family. Volume One includes writings by Sir Isaac Newton, entitled 'Notae in Newtonii Principia Mathematica Philosophiae Naturalis' and his 'Theory of the Moon', which was incorporated in the Astronomia Physica published by the Savilian Professor of Astronomy at Oxford. Volume Two contains letters and papers of the Gregory family: David Gregory of Kinnairdie; James Gregorie; David Gregorie; and Charles Gregory (Professor of Mathematics at Edinburgh University); also including some papers of Sir Isaac Newton.

Scientific and other papers sent to the Royal Society, presented at meetings of Fellows, or commissioned by the Society. They form a complementary series to the Early Letters, both of which were superseded by the Letters and Papers. Many of these items, referred to as the 'Guard Books', are duplicated in the Register Book of the Society. The classification is a simplified form of the 'Philosophical Transactions' abridgment by John Lowthorp. This arrangement was completed in 1741 by Thomas Birch. The majority of the papers in these volumes are manuscript, but a few printed documents occur throughout the series. Some of the papers are earlier in date than the grant on 15 July 1662 of the First Charter to the Society. The Committee of Trades seems to have been associated with the earlier meetings of those philosophers who subsequently became Fellows, and produced a number of practical papers, some of which were written in 1639 and which are mostly found in Volume 3(i). There are still earlier documents, mostly in Volume 25, which may have been included in the gift, in 1667, of the Arundel Library.

Records relating to the City and Guilds College (formerly the Central Institution of the City and Guilds Institute), 1876-1995, comprising a history, 1896; printed reports and schemes for the new institution, 1876-1884; speeches and accounts of the opening of the Central Institution, 1884; correspondence relating to the Jubilee, 1933-1935; programmes of the Central Institution, 1884-1931; letter books of the Secretary to the City and Guilds College Delegacy, 1911-1927; papers relating to the City and Guilds College Centenary, 1885-1985, and visitor's book (FC);
minutes of the Board of Studies, 1885-1913; report on equipment, 1889 (FE);
papers relating to the Engineering Board, notably minutes, 1915-1965, 1980-1984; correspondence and papers, 1911-1935; conference on postgraduate courses, 1962-1965; Chairman's notes and correspondence, 1955-1961; correspondence of the Research Committee, 1932-1951; senior appointments, 1913-1933 (FF);
papers of the Delegacy, notably minutes and reports, annual reports of the Dean of the Central Institution, 1911-1968; correspondence, 1910-1937, including research grants, 1915-1921; appointment of members, 1936-1970; minutes and accounts of the Finance and Special Committees, 1911-1924; correspondence and reports of the Organisation Committee, 1930-1931; chairmans' notes and correspondence, 1954-1968, donations, 1934-1936 (FG);
papers relating to links with Imperial College and the University of London, notably history of the City and Guilds London Institute, 1910; joint meetings and committee relating to the Delegacy, 1907-1910, 1955; correspondence of the Delegacy concerning the University of London, 1911-1921; degree and diploma examinations, 1926-1930; suspension of the Delegacy, 1966-1976 (FH);
papers relating to staff roles, including staff conference with Imperial College, 1911-1912; powers and duties of the Rector, 1918 and Deanship, 1931-1936; organisation and administration, 1918; papers relating to the Chemistry department, comprising regulations, examination papers and course notes of Professor Henry Edward Armstrong, 1884-1897; papers relating to the Civil and Mechanical Engineering Department, comprising notebook of Professor William Ernest Dalby on courses, 1904-1908; notes on lectures given by Professor William Cawthorne Unwin, 1885-1887; lecture and laboratory notebooks of C E H Salmon, 1894-1896; examination papers, 1913; correspondence relating to the Unwin Library, 1933-1934; papers relating to the Mechanics and Mathematics department, comprising notes on lectures given by Professor Olaus Henrici, 1885-1889; examination papers, 1888-1929; papers relating to the Electrical Engineering department, comprising notes on lectures given by Professor William Edward Ayrton, 1885-1887, notebooks of C Percy Taylor, 1892-1895 (FK);
records relating to students, 1884-1913 (FP); matriculation and entrance examination results; 1905-1938, examination results, 1887-1913 (FQ); registers of students, 1884-1948, tuition fees ledgers, 1911-1918, attendance registers, 1919-1940 (FR); Central Gazette and other journals, 1889-1906 (FSG).

Records created by the Registry of Imperial College relating to students, 1909-1998, notably correspondence concerning Intercollegiate courses, 1948-1956; fees, 1909-1966, including student's apparatus fees, 1939-1973; Rector's correspondence, 1959-1962; alphabetical list of students, 1970-1998; correspondence relating to students, 1964; Committee on education for engineers, including minutes, 1959-1952; papers of the Board of Studies Committee relating to conditions of admissions, 1945-1947; undergraduate courses in Mathematics, 1962-1966, Geology, 1965-1967, Chemistry, 1964-1969, Physics, 1961-1969; London County Council and Board of Education scholarships, 1925-1940; students' loan fund account ledger, 1921-1942; liason with schools, 1964-1977; student statistics, [1920-1987]; papers relating to student surveys, 1933-1934, 1960, 1963.

Records of the Department of Mathematics of Imperial College, 1903-1981, including histories of the department from 1910-1955; lecture notes, 1903-[1946]; report on the computer engine, 1948-1952; departmental correspondence, 1908-1947, notably of Professor John Perry, Professor Andrew Russell Forsyth, Professor Sydney Chapman, with the administration department, 1908-1928; proposed Mathematics Institute, 1947; Committee papers relating to departmental organisation, 1912-1926; Rectors' correspondence, 1955-1981, notably relating to the headship of the department.

Records of Imperial College relating to the University of London, 1901-1989, including correspondence concerning syllabuses and examinations, 1901-1905; Principal's correspondence, 1910-1914; centenary celebrations, 1935; 150th anniversary, 1986; student accommodation, 1943-1944; Commissioners, 1927-1928; University of London Act and Statutes, 1926-1956; reports and proposed Act, 1975-1981; establishment of Imperial College as a University School, 1907-1908; correspondence with the Court concerning grants, 1930-1946; visitations and inspections, 1923-1985, including reports; papers relating to Quinquennial estimates, visits, developments and policy, 1946-1980, including Rector's papers, 1957-1969; academic plan, 1965-1970; governance of the university, notably Rector's correspondence, 1970-1983; reports, 1972-1982; Senate minutes, 1987-1989 (UL4-ULB);

Military Education Committee and Officers' Training Corps correspondence and papers, 1908-1958, including D Company roll book, 1927-1936; University Air Squadron correspondence, 1935-1939 (ULC); Conference and Committee papers on Engineering, and award of degrees, 1909-1926; correspondence concerning the recognition of Imperial College courses, 1945-1969; entrance and pass requirements for BSc degrees, 1954-1963; papers relating to postgraduate courses, 1961-1987 (ULG); correspondence relating to examinations and curricula, 1908-1934; student registration, 1952; confidential theses, 1940-1945 (ULH); Boathouse Committee papers, 1934-1947; University of London Students' Union ephemera, 1989 (ULM);
papers relating to the Nuclear Reactor Centre, Silwood Park, 1958-1980, notably opening, 1964-1965; purchase of the reactor, 1958-1965; Reactor Safety Committee, 1964-1974 (ULN);
papers concerning University Chairs and Readerships, 1908-1968, including regulations, 1922; correspondence concerning proposed Chairs and appointments, 1943-1968; Chairs tenable at Imperial College, 1943-1957; conferment of title of Professor and Readerships, 1931-1965; endowment of a Chair and Readership in Electrical Engineering, 1953-1958; applications for Assistant Professorships in Mining and Botany, 1908-1910 (ULO); papers concerning appointments to Chairs, with some papers concerning funding and administration for the Departments of Aeronautics, 1943-1975; Biochemistry, 1955-1979; Biology, 1952-1953; Botany including Biochemistry and Plant Physiology, 1936-1979; Chemical Engineering and Chemical Technology, 1935-1977; Analytical Chemistry, 1964-1975; Organic Chemistry, 1937-1978; Physical Chemistry, 1937-1977; Civil Engineering, 1945-1973; Computing and Control, 1974-1977; Electrical Engineering, 1944-1978; Geology, 1929-1975; Industrial Sociology, 1967-1978; Mathematics, 1946-1978; Mechanical Engineering, 1931-1978; Metallurgy, 1939-1976; Meteorology, 1933-1974; Mining, 1912-1980; Physics, 1937-1977; Zoology, 1930-1977 (ULP); appointments of readers in the Departments of Aeronautics and Aerodynamics, 1949-1972; Botany, 1942-1970; Chemical Engineering and Chemical Technology, 1932-1970; Inorganic and Physical Chemistry, 1937-1965; Organic Chemistry, 1944-1971; Civil Engineering, 1946-1977; Computing and Control, 1967-1968; Electrical Engineering, 1947-1965; Geology, 1936-1976; Mathematics, 1932-1977; Mechanical Engineering, 1936-1967; Metallurgy, 1937-1970; Meteorology, 1938-1970; Mining, 1950-1975; Physics, 1938-1970; Zoology, 1937-1970 (ULR);
correspondence concerning the recognition of college staff as teachers of the University, 1908-1949; establishment of the London Graduate School of Business Studies, 1963-1966; collaboration with Queen Elizabeth College, 1968-1981; with the Royal Postgraduate Medical School, 1968-1974; correspondence with Royal Holloway College, 1918-1974; with University College concerning a course on air navigation, 1936-1953 (UM).

Papers of Professor Albrecht Fröhlich, 1916-2001, reflecting his mathematical research, publications and correspondence with colleagues. Papers are divided into six sections comprising biographical papers; research papers; publications; papers relating to visits, conferences and lectures; correspondence and theses and examinations.

Biographical papers include obituaries, memoirs and papers relating to memorials including a service in the Chapel of Robinson College Cambridge, 10 Feb 2002; autobiographical papers including copy of Fröhlich's entry for Personal Records of Fellows of the Royal Society; papers relating to Fröhlich's career, honours and awards including his Ph.D. thesis 'On some topics in the theory of representation of groups and in class field theory', and correspondence and papers relating to his university appointments and some of his principal honours, including election to the Fellowship of the Royal Society.

Research papers chiefly comprise mathematical workings, notes and drafts: notably relating to work on the decomposition of primes [1950] and work on Galois module theory and Gauss sums.

Publications comprise published material by Fröhlich, 1950-2000, drafts and unpublished drafts, including work with Charles Terence Clegg Wall on Brauer groups, 'Galois modules and the functional equation', and draft of a longer text entitled 'mathematical theory of ostensive and consequently of empirical predicates'.

Visits, conferences and lectures include papers relating to Fröhlich's conference attendance and overseas visits 1956-1998, documentation of his participation in mathematics meetings held at the Mathematisches Forschungsinstitut, Oberwolfach, Germany and papers relating to Visiting Professorships, including invitations, programmes, and texts or abstracts of lectures.

Correspondence,1950-2000, on subjects including progress of Fröhlich's research, discussions of problems with mathematical workings and drafts of papers. Notable correspondents include Fröhlich's Ph.D. supervisor Hans Arnold Heilbronn, colleagues Jean-Pierre Serre, Olga Taussky-Todd, Stephen Virgil Ullom and Charles Terence Clegg Wall, and former research students Colin J. Bushnell, Martin J. Taylor and Stephen Mark Johnson Wilson.

Theses and examinations comprise, theses of Ph.D. students supervised or examined by Fröhlich, including his research students at King's College London and examination papers, some with Fröhlich's manuscript calculations of answers, 1980-1990.

Papers of Hudson comprising 'Angle Generator for use in the study of trigonometry' by W B Bushell, 1873; a letter from H Orfleur concerning surfaces, with photograph of geometrical model attached, 1898; invitation to Hudson from Principal Henry Wace to the Medical Department Prize Distribution, with geometrical drawing on the reverse; mathematical model (quadratic surface: ellipsoid).

Collection comprising three manuscript notebooks of theoretical problems relating to mechanics compiled by James Clerk Maxwell mainly during his employment at King's College London, including exam questions on aspects of mechanics and geometry, 1860-1865; problems on the collision of elastic spheres and the dynamic relation between other solid bodies; the refraction of light; the relationship between heat and volume in materials; attraction between particles, 1860-1873; notes on the works of leading authorities on mathematics and physics including Arthur Cayley, Franz Neumann and Siméon Poisson, 1867-1873; bibliography of textbooks mainly on mechanics, [1860-1865]; list of scientific instrument suppliers, [1860-1865]; outline of the contents of Maxwell's Treatise on electricity and magnetism (1873).

Reports, observations, notes and photos of Canada by Thomas Henry Manning, 1936-1946, including descriptive report, Northern Manitoba and South-east Keewatin, 1945; descriptive report and technical report, east coast of Hudson's Bay, Ottawa Islands, etc., 1946 (duplicates of reports submitted to the Geodetic Service of Canada); astronomical observations, topological notes and rough sketch maps of Whale Point and surrounding area, 1936-1938.

Papers, 1931-1947, relating to the literary work of Ethel Maud Rowell, including offprints of published essays in journals such as the Hibbert Journal, The aryan path and Philosophy, as well as a published copy of her book Time and Time again: essays on various subjects (Allen and Unwin, London, 1941); newspaper cuttings comprising reviews of Rowell's published works, notably Time and Time again; typescripts and manuscripts of essays, stories and poems by Rowell. Correspondence, 1908-1954, relating to publication of Rowell's work, both before and after her death in 1951, including correspondence, 1951-1954, between Professor Elizabeth Marianne Blackwell, Head of the Botany Department at Royal Holloway College, and various publishing firms, concerning the possibility of the posthumous publication of 'Of memory and some other matters', a second collection of essays by Rowell. Miscellaneous documents relating to Rowell, notably a copy of a letter from the Rev Charles Lutwidge Dodgson (Lewis Carroll), 1895 and photographs of Rowell and other staff at Royal Holloway College, [1907-1939].

Copies of reviews of books on mathematical subjects, mainly for the ASLIB Book Review, 1957-1977.

Papers of James Lighthill, 1970s-1990s including working papers; lecture notes and transcripts; conference papers; off prints of articles; drafts and proofs of publications by Lighthill; correspondence; personal awards and honours; papers relating to the Royal Society; audio cassettes and papers relating to the International Union of Theoretical and Applied Mechanics.

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.

Thirteen volumes of manuscript notes and calculations about magic squares.

Letters from Smith to the editor of the Athenaeum, William Hepworth Dixon, arguing against Augustus De Morgan on the quadrature of the circle.

Notes on physics and mathematics.

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

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

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'.

'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.

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.

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.

Mathematical fragments, letters, and papers.

Notebooks on lectures on mathematics, languages and political economy attended by Bagehot when a student at University College London.