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

St. Petersburg: Imperial Academy of Sciences, 1768-1772. First edition, in the original interim wrappers, of these letters to the Princess Friederike Charlotte Leopoldine Louise of Brandenburg-Schwedt, to whom Euler had given lessons during his stay in Berlin. The work “had an immense success and profoundly influenced contemporary philosophy” (PMM 196..... More
Item #3992

Berlin: Haude & Spener, 1746; 1750; 1751. First edition, an outstanding copy uncut in the original boards, of Euler’s three-volume Opuscula varii argumenti (although only the first volume bears this title), a collection of thirteen tracts, all except one published here for the first time. The most important is the..... More
Item #4420

Toulouse: Bernard Bosc, 1670. First edition, a fine copy, of Fermat’s annotated edition of Diophantus’ Arithmetica. This is the first printing of Fermat’s contributions to the theory of numbers, of which he is the undisputed founder, including his famous statement of ‘Fermat’s last theorem.’ Since most of Fermat’s work in..... More
Item #4489

Jena: Hermann Pohle, 1891. First edition, very rare, of this important essay, in which Frege carried out a revision of his famous Begriffsschrift (1879), which was necessary in order to carry out his programme of reducing arithmetic to formal logic. Function und Begriff contains Frege’s two main innovations since the..... More
Item #3523

Göttingen: Dieterich, 1811, 1813, 1816, 1820, 1828. First editions, journal issues, of thirteen important papers by Gauss, including works on the fundamental theorem of algebra, number theory, hypergeometric functions, approximation theory, differential geometry, gravitation, and celestial mechanics. “Gauss ranks, together with Archimedes and Newton, as one of the greatest geniuses..... More
Item #4298

Salem, Mass. Salem Press, 1886. First edition, very rare offprint issue. “One of Gibbs’ most famous papers was entitled ‘On Multiple Algebra.’ It was given as an ‘Address before the Section of Mathematics and Astronomy of the American Association for the Advancement of Science, by the Vice-President’ and was published..... More
Item #4433

Warsaw: Dziewulski, 1930. A fine copy of his doctoral dissertation - a seminal work in mathematical logic (Van Heijenoort: From Frege to Gödel). “Herbrand gave early signs of his mathematical gifts, entering the École Normale Supérieure at the exceptional age of seventeen and ranking first in the entering class. He..... More
Item #2294

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, 1925/1926. Very rare separate printing (WorldCat locates just two copies) of the most detailed exposition of Hilbert’s proposal for the foundation of classical mathematics, which became known as Hilbert’s Program. This paper further contains his attempted proof of the continuum hypothesis which led to the later work of..... More
Item #3181

Florence: In officina Iuntarum, Bernardi filiorum, 1567. First edition, very rare, of the only surviving work of Hipparchus (c. 190-127 BC). “Even the most casual discussion of ancient astronomy will not fail to call Hipparchus of Nicaea in Bithynia ‘the greatest astronomer of antiquity’ (Otto Neugebauer, ‘Notes on Hipparchus,’ Astronomy..... More
Item #3643

Linz: Hans Blanck, 1616. First edition, a considerably revised, rearranged and augmented version of Kepler’s Nova Stereometria published the year before, a work which is “generally regarded as one of the significant works in the prehistory of the calculus” (Gingerich in DSB). “Desiring to outfit his new household with the..... More
Item #5003

Paris: L’imprimerie Royale / Jean Boudot, 1696/1700. A fine sammelband comprising the first editions of the first books on the differential and integral calculus, respectively. “It was through his wide network of acquaintances in various European countries that Leibniz put into effect all his strategies for the spread of his..... More
Item #2848