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

Königsberg: Leupold, 1885. First edition, very rare, of Hilbert’s inaugural dissertation at the University of Königsberg, ‘On the invariant properties of special binary forms, in particular the spherical functions,’ in which he began his study of invariant theory. This subject was at the forefront of mathematics in the second half..... More
Item #4944

London: J. Matthews for Jeff. Wale, 1706. First edition, rare in commerce, of Jones’s second published work which “attracted the attention of Newton and Halley. Although the book was designed essentially for beginners in mathematics, it contained a fairly comprehensive survey of contemporary developments, including the method of fluxions and..... More
Item #5313

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: H. Estienne & W. Hopyl, 27 June 1503. First edition of this very rare collection of works, in an attractive Roger Payne binding. The individual works are all first editions with the exception of Lefèvre’s Epitome of Boethius’ De arithmetica (first, 1496) and an unattributed Opusculum de p[r]axi numerorum..... More
Item #3866

Paris: Boudot, 1705. First edition, first issue, of Leibniz’s invention of binary arithmetic, the foundation of the electronic computer industry. This is the second of Leibniz’s great trilogy of works on mathematics and computation, following Nova methodus pro maximis et minimis (1684), his independent invention of calculus, and preceding Brevis..... More
Item #4824

Kazan: Universitetskai︠a︡ tip. 1835. First edition, incredibly rare offprint, of this important book-length memoir on the foundations of calculus and real analysis by the first inventor of non-euclidean geometry. “As early as 1835, Lobachevsky showed in a memoir [the offered work] the necessity of distinguishing between continuity and differentiability” (Cajori..... More
Item #3652

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. “In France it was through the Oratorian circle of Nicolas Malebranche that Johann Bernoulli introduced in 1691 the Leibnizian calculus. His lessons to the Marquis..... More
Item #2848

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

Florence: Giuseppe Cocchini, 1666 (dedication dated 14 July, 1667). First edition, the rare first issue, and owing to the magnificent contemporary Italian red morocco binding, a presentation copy (see below), of the only publication of the Accademia del Cimento, the first organisation founded for the sole purpose of making scientific..... More
Item #4707

Messina: Pietro Spira, August 1558. First edition, ‘excessively rare’ (Sotheran), of this collection of works on ‘spherics’, the geometrical and trigonometrical techniques necessary for the description of the motion of the celestial bodies, including Maurolico’s Latin translations of works by four ancient Greek writers, Autolycus, Menelaus, Euclid and Theodosius, those..... More
Item #2881

Paris: J. Quilau, 1708. A fine copy, of the first separately published textbook of probability. “In 1708 [Montmort] published his work on Chances, where with the courage of Columbus he revealed a new world to mathematicians” (Todhunter, p. 78). “The Essay (1708) is the first published comprehensive text on probability..... More
Item #3894

Edinburgh: Andrew Hart, 1617. First edition, very rare, of one of the earliest mechanical calculating devices, using little rods of wood or ivory now known as ‘Napier’s bones’. Napier is best known today for his invention of logarithms, published in 1614 as Mirifici logarithmorum canonis decsriptio, the most important aid..... More
Item #5172