Venice: Domenico Louvisa; Gabriel Hertz & Giovanni Manfrè, 1724-27. Sammelband of four very rare works, all first editions, representing the work of the great Swiss mathematician Daniel Bernoulli, and of those of his friends and adversaries, during the period 1723-25 he spent in Italy. Bernoulli’s Exercitationes is his first mathematical..... More
Item #5535

Bologna: Clemente Ferroni, 1632. First edition, rare, of Cavalieri’s highly important treatise on conic sections and their applications in optics, acoustics and, perhaps most significantly, mechanics. Its importance in the history of the telescope is well-known: “Cavalieri’s design may well have been in all the essentials a direct anticipation of..... More
Item #5314

Paris: Nyon, Didot and Quillau, 1731. First edition, very rare, of Clairaut’s first publication, the first extended treatment of the geometry of curves in three dimensions, written when he was only sixteen. In it Clairaut demonstrates a claim made by Newton that all cubic curves in three dimensions are projections..... More
Item #5816

Paris: Antoine Dezallier, 1679. First and only edition, incredibly rare, of the last (surviving) contribution published by the brilliant French mathematician Girard Desargues in the notorious ‘perspective wars’ – Desargues was “the greatest perspectivist and projective geometer of his generation” (Kemp, The Science of Art, p. 120). Desargues published his..... More
Item #5918

Paris: Melchior Mondiere, 1625. Very rare editio princeps of this important text by Euclid, his only work in pure geometry, other than the Elements, to have survived in Greek. It is here accompanied by a commentary, or rather an introduction, by Marinus of Naples (5th century AD), the pupil and..... More
Item #3427

Toulouse: Jean Pech, 1679. First edition, very rare, with the even rarer portrait, and the Blenhiem Palace copy, of the first publication of the most important works of Pierre de Fermat (1601-65), arguably the greatest French mathematician of the seventeenth century (Descartes and Pascal notwithstanding), “the father of the modern..... More
Item #5884

Rome: Camera Apostolica, 1630. First edition, extremely rare, and a magnificent copy from the library of Kenelm Digby, of the most important work of the great Croatian mathematician Marino Ghetaldi (or Marin Getaldić) who, while he did not introduce coordinates, is regarded by many scholars, on the basis of the..... More
Item #5465

Berlin: Julius Springer, 1923. First edition, the extremely rare author’s presentation offprint issue, of the second major paper in the development of the 'Hilbert programme.' Based upon a lecture given at Leipzig in September 1923, it is the sequel to Hilbert's Neubegründung der Mathematik (1922), in which Hilbert had put forward his proposal..... More
Item #4475

[Berlin: Springer, 1925]. First edition, very rare offprint, of this famous lecture which contains Hilbert’s most detailed exposition of his proposal for the foundation of classical mathematics, which became known as Hilbert’s Programme. “No one shall expel us from the paradise which Cantor has created for us,” Hilbert famously declared..... More
Item #3181

Stockholm: P.A. Norstedt & Soner, 1904. First edition, extremely rare offprint issue, inscribed by the author to Fredholm, of von Koch’s paper, which contains the first examples of geometric fractals, the famous ‘Koch curve’ and ‘Koch snowflake’. The term ‘fractal’ was coined much later, by Benoit Mandelbrot in his 1975..... More
Item #3660

London: Printed by S[arah]. G[riffin]. and B[ennet]. G[riffin]. for Benjamin Tooke and Thomas Sawbridge, [1669]. First edition, first issue, extremely rare, of the first of Leybourn’s books on the subject. This issue has ‘dialling:’ in line 2 of the title and lacks imprint date; the more common (but still rare)..... More
Item #4610

London: for William and John Innys, 1720. First edition, very rare in commerce, of Maclaurin’s first book, dedicated to Newton and bearing his imprimatur as president of the Royal Society; this is a presentation copy, inscribed by Maclaurin. Maclaurin is best known for his Treatise of Fluxions (1742), “the earliest..... More
Item #5250

Edinburgh: Printed by T.W. and T. Ruddimans, 1742. First edition, a very fine large and thick paper copy, of “the earliest logical and systematic publication of the Newtonian methods. It stood as a model of rigor until the appearance of Cauchy’s Cours d’Analyse in 1821” (DSB). The Treatise was written..... More
Item #4222