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Mathematics

Rare and first edition books in the fields of Mathematics including navigation, philosophy, history and mathematical development.

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  1. The Foundations of Geometry. Authorised Translation by E. J. Townsend, PH. D. University of Illinois.

    The Foundations of Geometry. Authorised Translation by E. J. Townsend, PH. D. University of Illinois.

    Front cover with dampmark, contents unaffected; very short tear to initial leaf with publishers advertisment; a very good copy.
    First edition in English, the UK issue, co-published with The Open Court Publishing Company of Chicago, of one of the most influential mathematics publications of the 20th century. Hilbert's classical investigation of the logical foundations of geometry was first published in German in 1899. Until this publication, all geometry, including such recent and sophisticated developments as hyperbolic and elliptic geometry, implied an intuitive idea of the concepts ‘point', ‘line', ‘plane', ‘between', ‘lies on' etc. Learn More
    £750

    Date of Publication: 1902

    Published: London

    Stock Code: 115519

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  2. Rara Arithmetica.

    Rara Arithmetica.

    A catalogue of the arithmetics written before the year MDCI with a description of those in the library of George Arthur Plimpton of New York.
    First edition, first printing. A limited edition of 150 copies was published simultaneously. Learn More
    £125

    Date of Publication: 1908

    Published: Boston & London

    Stock Code: 114759

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  3. .

    Principia Mathematica.

    Some trivial wear to spine ends and tips of vol. I, a little mottling and rubbing to gilt at foot of spines, remains of bookplate removal to endpapers, otherwise internally fresh. A superb set.

    First editions. This is the complete set of the Principia Mathematica, decidedly rare. Vol. I was printed in 750 copies and, due to the disappointing sales, the publishers reduced the printings of Vols. II and III to 500 copies each, so that only 500 complete sets in first edition are possible. In this work, Whitehead and Russell attempted to construct the whole body of mathematical doctrine by logical deduction from the basis of a small number of primitive ideas and a small number of primitive principles of logical inference (DSB, XII, p. Learn More

    £100,000

    Date of Publication: 1910

    Published: Cambridge:

    Stock Code: 114672

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  4. Studies in Deductive Logic.

    Studies in Deductive Logic.

    A Manual for Students.
    First edition, with the publisher's ads to rear dated February 1881. Learn More
    £350

    Date of Publication: 1880

    Published: London

    Stock Code: 114481

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  5. Remarks on the Foundations of Mathematics.

    Remarks on the Foundations of Mathematics.

    Edited by G. H. von Wright, R. Rhees, G. E. M. Anscombe. Translated by G. E. M. Anscombe.
    First edition in English, first impression, of the author's major work on the philosophy of mathematics. Originally published under the title Bemerkungen über die Grundlagen der Mathematik in the same year. Although intended as the second part of the author's Philosophical Investigations, this imposing and brilliantly edited work stands by itself. A beautiful copy. Learn More
    £800

    Date of Publication: 1956

    Published: Oxford

    Stock Code: 114183

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  6. image1
    signed

    The Foundations of Mathematics

    and other Logical Essays.
    First edition, first impression, of this collection of Frank P. Ramsey's essays on mathematics and logic, some of which are published here for the first time. Ramsey (1903-1930) was a Cambridge-based philosopher, a member of the Apostles, who died aged only 26 but contributed pioneering work to the field of logic that had been thrown into disarray by Russell and Wittgenstein. Learn More
    £1,500

    Date of Publication: 1931

    Published: London

    Stock Code: 114180

    Signed: Yes

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  7. .

    Epitoma in Almagestum Ptolemaei.

    (Edited by Caspar Grosch and Stephan Römer.)

    First edition in any form of Ptolemy's Almagest, the foundation of ancient astronomy. Regiomontanus' Epitome of Ptolemy is an epochal text that both made available the canonical astronomy of the ancient world and heralded the birth of the revolutionary astronomy of the new learning. This is the only appearance in print of the Almagest in the fifteenth century. Learn More

    £80,000

    Date of Publication: 1496

    Published: Venice

    Stock Code: 114113

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  8. The first six books of The Elements of Euclid

    The first six books of The Elements of Euclid

    in which coloured diagrams and symbols are used instead of letters for the greater ease of learners.
    First edition of this celebrated book, the most interesting and inventive attempt to revisualise the classic ur-text of geometry by printing the diagrams in various colours, a method which stretched the printers' skills to their utmost. Oliver Byrne (c.1810-c.1890) is described on the title page as "Surveyor of Her Majesty's Settlements in the Falkland Islands and Author of Numerous Mathematical Works". Learn More
    £9,500

    Date of Publication: 1847

    Published: London

    Stock Code: 112526

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  9. A Mathematical Compendium;

    A Mathematical Compendium;

    or, Useful Practices in Arithmetick, Geometry, and Astronomy, Geography and Navigation, Embattelling, and Quartering of Armies, Fortification and Gunnery, Gauging and Dyalling. Explaining the Logarithms, with new Indices; Nepair's [sic] Rods or Bones; making of Movements, and the Application of Pendulums; with the Projection of the Sphere for an Universal Dyal, &c. The Second Edition, with many large Additions.
    Second edition. Moore had been involved with the management of the Royal Mathematical School at Christ's Hospital; his notes were edited by his Ordnance second clerk, Nicholas Stephenson, to form this popular pocket-book, first published 1674. Learn More
    £1,750

    Date of Publication: 1705

    Published: London

    Stock Code: 112517

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  10. An Essay on the Foundations of Geometry.
    signed

    An Essay on the Foundations of Geometry.

    First edition, first impression, an excellent association copy of Russell's first published book of philosophy, with the pencilled ownership inscription of noted Cambridge philosopher R. B. Braithwaite, dated 1923, to the front free endpaper. Braithwaite (1900-1990), then a scholar at King's College, originally studied mathematics before switching to the moral sciences tripos for his final year, the year of the inscription. Learn More
    £1,250

    Date of Publication: 1897

    Published: Cambridge

    Stock Code: 112003

    Signed: Yes

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  11. Principia Mathematica.
    signed

    Principia Mathematica.

    Volume I.
    First edition, first impression, one of 750 copies printed, of the first volume of Whitehead and Russell's hugely ambitious attempt to construct "the whole body of mathematical doctrine by logical deduction from the basis of a small number of primitive ideas and a small number of primitive principles of logical inference" (DSB, XII, p. 14). The belief that mathematics can be derived from logic is not only one of the principal philosophical theories of the foundation of mathematics, it has also provided some of the most important results in the formal analysis of mathematical concepts (cf. Learn More
    £8,500

    Date of Publication: 1910

    Published: Cambridge

    Stock Code: 111914

    Signed: Yes

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  12. Philosophiae naturalis principia mathematica.

    Philosophiae naturalis principia mathematica.

    Editio ultima cui accedit analysis per quantitatum series, fluxiones ac differentias cum enumeratione linearum tertii ordinis.
    First edition to combine the Principia with the Analysis per Quantitatum Series, Fluxiones ac Differentias (1711), Newton's first independent treatise on mathematics, containing his important developments of calculus - here with a separate title page, pagination, and index; second Amsterdam edition of the Principia, with the plates and diagrams re-engraved. Learn More
    £7,750

    Date of Publication: 1723

    Published: Amsterdam

    Stock Code: 111756

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  13. Matter and Motion.

    Matter and Motion.

    First edition of Maxwell's textbook on dynamics. In the modest guise of a brief introduction to Newtonian mechanics, Matter and Motion, one of the finest elementary scientific treatises ever written, anticipates problems with distant synchronization that led, via its influence on Henri Poincaré, to Einstein's special theory of relativity. "A masterpiece of natural philosophy, notable especially for introducing into physics the term relativity in a passage that combines strenuous scientific insight with a mystical awareness" (Routledge Encyclopedia of Philosophy, p. Learn More
    £2,000

    Date of Publication: 1876

    Published: London

    Stock Code: 111557

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  14. A Treatise of Gunnery.

    A Treatise of Gunnery.

    First edition, uncommon. Well thought of essay "to deduce the rules of gunnery from the principles of motion and gravity, in a manner that seems plain and simple" (preface). Gray (d.1769), FRS 1732, Rector of Marischal College, Aberdeen 1764-9, although resident in London, friend of the bookseller and publisher Andrew Millar; "He was credited by Millar's friends Patrick Murdoch and Robert Symmer with clarifying Newton's philosophy for the poet James Thomson [described as a "gentleman well-versed in Newtonian philosophy"] who published A Poem Sacred to the Memory of Sir Isaac Newton in 1727. Learn More
    £650

    Date of Publication: 1731

    Published: London

    Stock Code: 110655

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  15. .

    Opere, divise in quattro tomi, in questa nuova edizione accresciute de molti cose inedite.

    First complete collected edition of Galileo's works, the third overall, and the first to include the Dialogo, along with other material published here for the first time. Galilei's Opere, first published in two volumes in 1656 in Bologna by Carlo Manolessi, was reprinted with some revision and the addition of a third volume in 1718 in Florence by Tommasso Bonaventure, assisted by Guido Grandi and Benedetto Bresciani. Learn More

    £16,000

    Date of Publication: 1744

    Published: Padua

    Stock Code: 109916

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  16. i1

    Le Mécanique appliquée aux arts, aux manufactures, à l’agriculture et à la guerre;

    ouvrage orné de 120 planches.
    First edition. Described on the title as "Ingénieur-Mécanicien du Roi", Berthelot (1718-1800) rose from humble origins to the professorship of mathematics in the Military School in Paris, where in 1763 he invented a famous gun carriage for use in coastal artillery, though the invention was generally credited to Gribeauval who was largely responsible for its adoption. Learn More
    £2,250

    Date of Publication: 1782

    Published: Paris

    Stock Code: 108958

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  17. On the Ricardian Theory of Value: A Note.

    On the Ricardian Theory of Value: A Note.

    (Offprinted from: Review of Economic Studies (1981) XLVIII, 673-675).
    First separate appearance of Pasinetti's response to a paper of 1981 written by Eygelshoven and Kuipers concerning his 1960 paper A mathematical Formulation of the Ricardian System, in which Pasinetti corrects their notion that he is using a continuous function in his paper. A student of Piero Sraffa at Cambridge, Pasinetti developed one of the first rigorous mathematical formulations of Ricardo's theory of value and distribution. Learn More
    £125

    Date of Publication: 1981

    Published: Oxford

    Stock Code: 108016

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  18. "Kort, dog duidelyk onderwys van't Italiaansch boekhouden ..."

    "Kort, dog duidelyk onderwys van't Italiaansch boekhouden ..."

    Vierde Druk. Merkelyk verbeetrd, en met eenige aanmerkingen vermeerdert.
    Revised and enlarged fourth edition, first published in 1760, of this guide to Italian book-keeping, teaching the basic principles, with a section relating to book-keeping for ship owners. The work contains an innovation by Aubert, a "Convoy book", which lists goods under the name of the Captain and the ship. The work also contains real-life accounts of a shipping company, a guide to basic Dutch banking procedures, and a dictionary of mercantile terminology. Learn More
    £750

    Date of Publication: 1782

    Published: Amsterdam

    Stock Code: 104912

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  19. Statistical Methods for Research Workers.

    Statistical Methods for Research Workers.

    First edition, first impression of this major work on statistics. Learn More
    £1,250

    Date of Publication: 1925

    Published: Edinburgh & London

    Stock Code: 102556

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  20. i2

    Maniere de fortifier de Mr. de Vauban.

    Où l’on voit de quelle méthode on se sert aujourd’hui en France, pour la Fortification des Places tant régulieres qu’irrégulieres; en quoi cette méthode differe des autres, &c. Avec un Traité de Geometrie qu’on a mis à la tête, pour avoir une parfaite intelligence des Fortifications. Le tyout mis en ordre par …
    Second edition, first published in Paris 1681, under the title Manière de fortifier selon la méthode de monsieur de Vauban. One of the most popular and influential early interpretations of Vauban's theories: "Numerous editions of this work by DuFay and le Chevalier de Cambray, a French engineer, were published in Paris and Amsterdam between 1681 and 1771. Learn More
    £1,250

    Date of Publication: 1689

    Published: Amsterdam

    Stock Code: 102066

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