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.

(1) Letter from David Mather Masson of the Garrick Club to Augustus De Morgan, 13 Jun 1867. Discussing Thomas Carlyle's mathematical work.

(2) Letter from Thomas Carlyle of Chelsea to [De Morgan], 19 Jun 1867. Discussing Carlyle's translation of A M Legendre's Eléments de géométrie and the 'the Galbraith legend' [that a Mr Galbraith was the translator of Legendre's work].

Both letters are autograph, with signatures.

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.

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.

Some correspondence, papers, notebooks and publications of Sir James Hopwood Jeans. Early manuscripts in the series relate to Jean's education at Trinity College, Cambridge, in the form of early lecture notebooks, largely on mathematical topics. A collection of letters, 1901-1907, documents his treatment for tuberculosis at Ringwood Sanatorium, where he completed work on the theory of gases; correspondents included G H Hardy and Adam Sedgewick among others. Jean's engagements in popularizing science are represented by proofs and typescript of lectures and essays, especially those written for the BBC, 1934-1935, together with associated letters and press cuttings. The series contains collections of offprints, reprints, and extracts of published works by Jeans and others, notably from the Philosophical Transactions and the Philosophical Magazine.

The correspondence of Sir John William Lubbock, providing information on a wide range of Lubbock's contemporaries, not exclusively in the field of science. The largest collections of scientific letters are from George Biddell Airy (113 letters), John George Children (128 letters), Joshua Alwyn Compton, 2nd Marquis of Northampton (98 letters), G P D de Pontecoulant (67 letters) and William Whewell (87 letters). There are smaller but no less important groups of letters from Charles Babbage, Francis Baily, Francis Beaufort, Charles Darwin, John Couch Adams, J F W Herschel, Baden Powell and W H F Talbot.

Incip. 'Igitur ex quatuor elementis'
Desin 'Et hoc est qod ostendimus. Explicit'
Folios 1-9 [Mundus] igitur ex quatuor elementis isdemque totis in spere modum globatis.... retrogradari facit.
Part of book 8, 'De astronomia' of Martinus Capella, 'De nuptiis.'

Folios 9 verso - 49 verso (Text) Vnitas est esse rei per se discrecio...omnis numerus minor maioris aut est pars aut partes....medios assignare sit possibile.
(Commentary) Aut enim minor numerat maiorem....et hoc est qod ostenimus. Explicit.

Jordanus Nemorariius, 'De Arithmetica' printed several times but with a different commentary. Printed marginalia eg in folio 24, in a hand which occurs also in MS/28.

Methodo Inverso dos Limites ou Desenvoluimento geral das Funcoens algorithmicas em Series par Francisco de Borja Garcao Stockler.

Copy of 'The radix; a new way of looking at logarithms...in five problems by Robert Flower' made in 1877 by Alexander John Ellis with supplementary notes by Ellis including biographical information on Flower.

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.

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.

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.

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

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.

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.

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

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.

Arithmeticae et Astronomicae Auctores Varii: 15th century (possibly 1468) mathematical and astronomical treatises by various authors. Earlier texts written in Italy by one hand; others written by Heinrich Langenstein and Paul of Olmütz (?). Full page diagram of the zodiac on folio 47r.

Manuscript exercise book of elementary geometry, [1748]. On the first leaf is written "Thomas Knight. February 18, 1748".

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

Autograph, with signature.

34 letters from Francis William Newman, 1864-1894. 32 letters addressed to Newman's nephew John Rickards Mozley; 1 letter addressed to Newman's sister Jemima Mozley; 1 letter addressed to J R Mozley's father-in-law Bonamy Price. Topics covered include: domestic and family affairs; Newman's brother John Henry Newman (Cardinal Newman); education (including Augustus De Morgan and University College London); New Testament criticism; religion and morality; classical literature; mathematics; wealth; current affairs (including Irish Home Rule and the American Civil War); William Ewart Gladstone; and John Ruskin.

All items are autograph, with signatures.

Letters and papers relating to Gottfried von Leibnitz's claim to primacy over Sir Isaac Newton in the discovery of calculus. Including correspondence between H Sloman, William Hepworth Dixon (editor of The Athenaeum), W Metcalfe, Augustus De Morgan and a Mr de Fanget, 1861-1863. Many items are autograph and bear signatures.

Letter from Matthew Collins of 40 Upper Pitt Street, Liverpool to Augustus De Morgan, 8 Apr 1853. Covering note, enclosing a pamphlet, On Clairaut's theorem ... (1853).

Autograph, with signature. A note in De Morgan's hand states that the content of the pamphlet, published in the Cambridge and Dublin Mathematical Journal, new series vol IX (1854), were plagiarized from a lecture given by Mr James MacCullagh in 1846.

Letter from James Ludovic Lindsay of 2 Cadogan Square, [London] to R A Rye, [Librarian of the University of London], 9 Jun 1907. Describing how Lord Crawford had used the De Morgan Mathematical Collection, now in in the University Library, to help him in founding the mathematical and physical science section of his own library at Haigh Hall, 'second only, I think, to the Imperial Library of Pulcowa Observatory in Russia [Pulkovo Observatory, near St Petersburg]'. Describing the printing of the 'great catalogue' of his library as 'a very heavy business'. A postscript expresses sympathy for the death of William Brenchley Rye 'a very valued assistant [in the Earl's library] at Haigh'.

Autograph, with signature.

Papers of Augustus De Morgan including notes and additions made by de Morgan for his 'Arithmetical books'.

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.

Fundata duarum Lecturarum in Disciplinis Mathematicis Per Henricum Savile, Collegii Metonensis Custodem. Publicata et Confirmata in Venerabili Domo Convocationis, 11 Aug 1619.

A collection of tracts on fortification and geometry, 17th and 18th centuries: Folio 1 Della Fortificatione; Folio 53 Geometrica Prattica; Folio 83 Della sfera; Folio 104-115 Blank sheets and oddments; Folio 116 Del Misurare da Contano; Folio Il quaduarete Geometrico; Folio Aritmetica.

Mathematical and scientific papers of George Boole.

A system of mathematical tables inscribed on title page ' James Elgar May 8th 1756'. Originally entitled 'A system of mathematical tables by James Elgar and John Newton' and bound with 'Tabulae Mathematicae' by John Newton.

Papers of Thomas George Cowling including correspondence with Neil Oscar Weiss, 1964-1989 and P A Gilman, 1980-1982.

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.

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.

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

Autograph, with signature.

Letter from Josiah Latimer Clark of Westminster Chambers, 11 Victoria Street, London to Sydney Lupton, 2 Dec 1891. 'Your most delightful book of tables and constants is I presume on every table ...'. Writing in reply to a letter from Lupton, saying that he hopes to correct his own figures before long, since Lupton had referred him to an article by Professor [George Carey] Foster in Watts' Dictionary [of Chemistry].

Autograph, with signature.

Letter from Henry Peter Brougham of [Westmorland] to [Augustus] De Morgan, 11 Sep [1857]. Referring to an article in Notes and Queries [2nd series, Volume 4] and discussing mathematical subjects. Autograph, with signature.

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

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).

A geometrical exercise book with Frederick's name and the dates 4 May 1795 and 17 May 1796 on the cover. Each page bears a theorem and its accompanying diagram, up to the 21st theorem of the 5th book. The exercises are occasionally relieved by a pencil sketch of a head or half-figure.

Papers of the De Morgan family, [1756-1928], comprising material relating to the suffragette movement, such as photographs, newpapers, press cuttings and pamphlets; correspondence of Augustus de Morgan, with correspondents including Sir Frederick Richard Pollock, Sir George Biddle Airy, Sir John William Lubbock, John Wrottesley (2nd Baron Wrottesley), John Radford Young, Sir John Frederick William Herschel, John Finlaison, and General Sir John Briggs; correspondence of William Frend de Morgan, mainly with members of his family and Sir Edward Coley Burne Jones; material relating to the de Morgan and Frend families, notably family photographs, drawings, letters, legal documents and memorabilia; letters from Sophia and Mollie de Morgan to Joan Antrobus; manuscript and typescript copies of stories and essays by William and Mary de Morgan; papers relating to Sophia de Morgan's Memoir of her husband Augustus, including letters, reviews and working notes; bundle of letters containing correspondence concerning a petition to the women of America from the women of England about the abolition of slavery; printed material, mainly works by Augustus de Morgan; letters to Francis Baily, [1820-1940]; letters from Thomas Henderson to Thomas Galloway, 1834-1842; 5 watercolours of Scotland by Frances Shakerley, [1920-1930].

Nine foolscap pages of handwritten mathematical calculations and notes by Arthur Cayley entitled 'Areal Co-ordinates' (December 1891)

Copy of the draft of the first work published by Augustus de Morgan, 'The Elements of Arithmetic', 1830.

In Arithmetica diversche questyen met hare solutien: door C.J. Broersz, liefhebber der Reeckenconst ... Tot Haarlem, Bij Gillis Rooman, woonende in de Jacobine-strate, in de vergulden Parsse, Anno 1590. The transcription of the book by Broersz occupies the first 33 leaves, and is signed F.[?] J. Riett, 1612. Ff. 35-88 contain further arithmetical problems, including some in verse form illustrated by pen-and-ink drawings.