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.

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.

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

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.

Manuscript volume, late 15th century, containing a mathematical treatise, with ink diagrams.

Manuscript volume, 1694: Rechenbuch. An arithmetic book containing problems, including calculations for finding the date of Judgement Day, the Golden Number, etc, together with astrological information. Some of the problems are set out in verse.

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.

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'.

(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.

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

3 letters from John Thomas Graves of 29 Grosvenor Place, Cheltenham to Augustus De Morgan, 28 Jan, 4 Feb and 4 Jun 1853. Relating to the works of Simon Stevin and other mathematical literature.

Autograph, with signature.

Letter from Wililam Wallace to Rev George Peacock, Dean of Ely, [1833]. Describing Wallace's part in the introduction of foreign mathematical notation to England and 'the Reformation .... the the Mathematical science in Britain'.

Autograph, with signature. Headed 'First Copy'. Inscribed in another hand: 'Found among Mr Thomas Galloway's papers'.

Letter from Leonard Horner of University Chambers to Augustus De Morgan, 25 Feb 1828. Enclosing a letter appointing a Professor of Mathematics in the University of London.

Autograph, with signature.

Draft of a paper entitled 'Sur une propriété générale d'une certaine classe de fonctions transcendantes (par Mr.N.H.Abel de Christiana)', apparently in the hand of Niels Henrik Abels hand, later printed as 'Remarques sur quelques propriétés generales d'une certaine sorte de fonctions transcendantes' in Oeuvres complètes de N.H.Abel...redigées...par B.Holmboe (1859), vol.I (section XV), pp.288-98.

The collection, 1835-1850, contains letters and printed papers, notices and unpublished printed material, which Airy received during his time as a member of the Senate of the University of London. The Airy correspondence has a special importance because much of the early archival material of the University of London was destroyed and so often the only record of its activities is in the Senate and Committee Minutes. Airy was particularly interested in the constitution of the University, the developments of the mathematics syllabus, the syllabuses for certificates in hydrography and civil engineering and the introduction of the religious examination.

Papers of Augustus De Morgan including letters and notebooks relating to various mathematical subjects and general correspondence 1864-1867.

1-4. Letters to Augustus de Morgan, mostly about mathematical books and the history of the signs + and -.

1. John Bellingham Inglis, 15 Sep 1864
   2-4. John Thomas Graves, 20 and 27 Sep and 8 Oct 1864
   5-7. Items concerning John Dawson of Sedbergh
   5. Thomas Harrison, 18 Apr 1867
   6. Edward Cust, 9 Sep 1867
   7. Short biography of John Dawson, manuscript copy of article in the 'Kendal Times', 24 Nov 1866
   8. MS notes by Augustus de Morgan, mostly concerned with mathematical books and the first use of the signs + and -.

Together with 14 request slips for books in the British Museum, one dated 1854 and the rest 1864.

Papers of Professor Andrew Russell Forsyth, [1898-1921], comprising papers and lectures concerning mathematics, notably relating to Abels theorem, Abelian functions, binary forms, quintic equations and other modular functions, Fourier's and other series, algebraic functions, 1909, differential equations of mathematical physics, 1917-1921, elements of theory of functions, 1915-1916, elliptic functions, 1898, 1914-1915, spherical harmonic series, expansion in polynomials, expansion theorems, solid geometry, differential equations of dynamics.

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).

A collection, compiled in 1723, of mathematical material, principally for the use of navigation.

Manuscript volume containing a mathematical treatise, [1682], with diagrams in the text. The chapter headings are: 'Analysis triangulorum rectilineorum', 'geometriae practicae cap. 1m', 'principia geographiae generalia', 'de globe eiusque usibus', 'de projectione astronomica', 'de invenienda locorum longitudine', and 'astronomia'.

Manuscript volume containing an eighteenth century treatise on geometry, entitled 'Geometrie Pratique'. The chapter headings are: 'Livre premier: des logarithmes', 'Livre II: De la trigonometrie rectiligne', 'Livre IV: De la construction des figures', 'Livre V: De la longimetrie', 'Livre VI: De la planimetrie', 'Livre VII: De la stereometrie'.

Manuscript arithmetic note-book, 1749, signed at the end 'E.Knight, August 1, 1749'. In a copper-plate hand, with many flourished initials and headings.

Notebook compiled by Jonathan Baker containing mathematical problems and tables, dated 29 July 1765. The notebook was also used for entering his accounts between 1782 and 1796, with some later, more general, additions to 1800, mostly relating to his work as a cobbler, but also accounts of household expenses and rents received. The accounts mention places between Cirencester and Newnham.

Paper by Alexander J Ellis 'On clinant geometry, as a means of expressing the general relatings of points on a plane, realising imaginaries, and extending the theories of anharmonic ratios', communicated by Arthur Cayley, Esq. F.R.S. Febr. 1863. Abstract printed in the Proceedings of the Royal Society, vol.12, pp 442-3 Carbon copy of MS, with figures drawn in ink. Text and figures on rectos only. Paper wrappers inscribed 'Prof Augustus De Morgan, with the Author's respects'. Part of A De Morgan's library, given to the University by Lord Overstone in 1871. Former shelf-mark L(P.C.6).

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.

Apollonii Conica methodo nova illustrata et succincte demonstrata per Isaacum Barrow, continet hoc volumen archetypon integrum editionis Londini 1675, in forma quarta, impressa.

Latin translation attributed to Abelard of Bath, of Euclid's geometry ending imperfectly near the beginning of book 15 in the propsition 'intra propsitum cubum corpus habens iiij bases triangulas equalium laterum resignare'. Written in England

A mathematical dissertation by Boemke written at Berlin, 1827.

Written in England. Contains the curious characters known as the Boetian contractions, and is a valuable document for the history of arithmetic. The treatise commences on the Roman abacal system, and afterwards proceeds to give an explanation of the Eastern Boetian system with altered characters, and with a complete adoption of the advantages of local position. In Folio 2, recto, line 5, the author says that he will expound 'quaedam de numerorum scientia. regulis uidelicet algorismi' and on Folio 3, verso, he refers to Pithagoras, Nicomachus, Apuleius and Boethius. The text ends on the first line of Folio 34, recto, and is followed by eight lines in a semi-current 13th century hand.

Folio 1, recto ' Prefatio sequentis operis. Vt ait salomon.. punge oculum. et profert lacrimam. punge cor' et profert sensum.....'

Folio 4, verso ' De impari numero..'

Folio 6, verso, line 6, ' Divisio algorismi '. The divisions are given as folows; ' digitus, mediato, multiplicatio, divisio '

Folio 8, recto, title in red in margin, ' Qualiter digitus multiplicat digitum '

Folio 9, recto, line 15 ' Qualiter articulus multiplicatur per articulum '

Folio 9, verso, line 13, heading in red, ' Qualiter digitus multiplicat articulum '

Folio 10, recto, line 10, heading in red, ' Qualiter compositus per compositum multiplicatur '

Folio 10, verso, heading in margin, ' Qualiter compositus multiplicat compositum non eundem habens articulum '

Folio 11, recto, bottom line, heading in red ' Regulo ab uno inequalibus '

Folio 12, recto, line 6, heading in red, ' Regula ab uno in equalibus binario adjecto '

Folio 12, verso, line 8, heading in red ' De duplicatione '

Folio 13, recto, line 5, heading in red, ' De pari adjecto '

Folio 13, verso, line 6, heading in red, ' De impari adjecto '

Folio 14, verso, heading in margin, ' De proposito secundum novenarium dispositum '

Folio 15, recto, line 7-8, heading in red, ' De significationibus et nominibus figarum et locorum '
Transcript extract from line 14 ' Prima itaque omnium est igin. 1. id est unitas. Secunda andras. 2. id est binarius. Tercia ormis. 3. id est ternarius. Quarta arbas. 4. id est quaternarius. Quinta quimas. 5. id est quinarius. Sexta caltis. 6. id est senarius. Septima zemis. 7. id est septenarius. octava celentis. 8. id est octonarius. Nona cemenias. 9. id est novenarius. Singule ataque figure in quocumque loco sint sui ipsius exprimunt significationem. Nunquam enim figura unitatis officium binarii sibi usurpabit, nec binarius ternarii, nec ternarius quaternarii, nec quelibet ceterarum quod alter significare poterit. Ad majorem itaque evidentiam significationes locorum ponamus. primo ita loco posita igin seipsam, id es unitatem, significat. Secundo denarium. Tercio centenarium. Quarto millenarium. Quinto decem milia. Sexto centum milia. Septimo mille milia. Decimo mille mille milia. Undecimo decies milies mille milia. Duodecimo centies milies mille milia. Terciodecimo milies milies mille milia, et sic usque in infinitam singulorum decuplationem locorum extenditur. Similiter autem et andras rimo loco seipsam, id est binarium, significat. Secundo xx. Tercio cc. Quarto duo milia. Quinto xx. Sexto cc. Septima mm. et sic per cetera loca eodem cemate et cetere figure secundum propriam differentiam decuplabutn singulos articulos per loca singula. Est adhucet decima figura cujus nulla significatio est, sed tamen per loca disposita ceterarum significationes auget vel minuit. Dicitur autemzifera, et taliter depingitur 0. Sciendum autem quod omnes figure versus sinistram scribi debent, quia sic vim extendunt. Sed e converso literali ordine legi. '

Folio 17, verso, line 6, heading in red, ' De subtractione'

Folio 18, verso, line 8, heading in red, 'De dupli``catione'.

Papers on mathematics and physics collected by the Reverend Samuel Horsley DD, FRS.

Manuscript volume of 'Philosophiae Naturalis Principia Mathematica', by Isaac Newton. Manuscript written out by Humphrey Newton, Isaac Newton's assistant and amanuensis, and annotated by Newton and Halley. Manuscript from which the First Edition was printed.

Papers of Thomas Muir comprising notebooks: a series of six loosely-bound collections of notes and drafts; 'Articles for Pogendorff VI', notes and first draft completed 1933; 'Oblong Arrays' material for paper 304 1-30, 31-60, 61-93 and 'Dunkel Notes', material for paper 305 1-30, 31-51.

Papers of Harry Bateman including three notebooks, two (numbered six and seven) containing notes from the lectures of E T Whittaker at Trinity College Cambridge 1903-1904; one containing formulae connected with the Legendre and Bessel functions, with Trinity examination paper 1880 and printed testimonial by Rutherford.

Correspondence of Dr Brook Taylor, Secretary of the Royal Society on mathematical subjects with Professor Keil, Mr Machin, Bernouilli, the Abbot Conti, the Comte Raymond de Montmort, 1712-1717.

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.

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.

Manuscript volume, 17th century, containing: Mohammed Ibn Al-Hussain Karkhi, Kitab al-kafi fi 'ilm al-hisab wa-'ilm al-misahah wa-al-khawafi (Treatise on arithmetic, geometry, land surveying etc)

Manuscript volume, 15th or 16th century, containing the 'Perspectiva Communis' of John Peckham, in three parts, beginning 'Inter philosophie consideracionis studia ... '. Bound (perhaps from the first) with two printed works, the Arithmetica of Jordanus Nemorarius, edited by Jacques le Fêvre (Johannes Higman and Wolfgang Hopyl, Paris, 1496), and the Geometria speculatiua of Bradwardine (Paris, 1495).

Thirteen volumes of manuscript notes and calculations about magic squares.

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.

Manuscript volume containing a translation, [1800], by Charles Hutton of 'Book the 9th of the miscellaneous questions and inventions of Nicholas Tartalea (Niccolò Tartaglia) of Briscia: concerning the sciences of arithmetic, geometry and algebra and almucabala, commonly called the Rule of Coss, or Ars Major; and especially of the discovery for the case of the cube and first power equal to a given number, and its other cases...'. Reginald Rye, Goldsmith's Librarian of the University of London, states that the manuscript is in the handwriting of Charles Hutton.

Manuscript transcript by Richard Bateman, 1612, of a work by Benedictus Victorius Faventius containing a calculator or computer for increasing or diminishing figures, which was printed by Benedict Hector, bookseller of Bologna, in 1512. The text was copied by Bateman from a treatise of a revised edition by Dom. Gaetanus, Doctor of Medicine.

Manuscript volume containing mathematical calculations tables, accounts and sketches, with notes in Italian, c1500.