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 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.

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Publications comprise published material by Fröhlich, 1950-2000, drafts and unpublished drafts, including work with Charles Terence Clegg Wall on Brauer groups, 'Galois modules and the functional equation', and draft of a longer text entitled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

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

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'.

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.

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.

These are letters and papers of various members of the Gregory family including David Gregorie of Kinnairdie; James Gregory, author of Optical Promota; David Gregorie, Savillian Professor of Geometry at Oxford University; James Gregorie, Professor of Mathematics at Edinburgh University and Charles Gregory.

Papers of the Gregory family, volume one includes writings by Sir Isaac Newton, friend of David Gregorie, Savilian Professor of Astronomy at Oxford, the volume is 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 is a volume of letters and papers of the Gregory family, including some papers of Sir Isaac Newton; David Gregorie of Kinnairdie; James Gregorie author of 'Optica Promota'; David Gregorie, Savilian Professor of Geometry at Oxford; James Gregorie Professor of Mathematics at Edinburgh; and Charles Gregory, Professor of Mathematics at Edinburgh University.

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.

Manual of mathematics, including sections on calculating interest, 'brokage' and the purchase of stock, compiled by James Harrison of Leeds in 1775. At the end of the volume are added medical remedies and recipes in various hands, [1828].

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.

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

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).

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.

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.

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.

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.

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.

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

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.

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.

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.

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.

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.

Letter from Baldassarre Boncompagni-Ludovisi, 1856 to [To Augustus De Morgan], asking for a copy of 'The Elements of the Mathematical art commonly called Algebra, expounded in two books, by John Kersey. 1717'.

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.

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.

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?

(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.

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

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

Mathematical works of Pappus Alexandrinus, stated by JO Halliwell that this was copied from Savilian MS number 9 for William Jones the mathematician.

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.

Manuscript volume containing writings on mathematics, [1668], and entitled 'The use of the rule and compass in drawings of lines, angles, parallels and geometrical superficial figures comprehended in eight practices, together with notes on decimal arithmetic, logarithms, mensuration, fortification, dialling and other branches of mathematics. The handwriting and watermarks are of the seventeenth century, and the date 1688 appears on the verso of leaf 68, where adjoining a 'Table for the declination of the sunne', is written 'Example for the 22th May 1668'. On leaf 112 appears 'A particular of all my mathematical instruments and the severall prices I paid for them'.

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).

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.

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)

Two manuscripts by Louis Joel Mordell: 1. 'On the geometry of numbers in some non-convex regions' 60 pages, some manuscript corrections and 2. ' Hardy's mathematician, apology' review article 10 pages, photocopy.

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

(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.

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.

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.

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.

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.