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 about Hipparchi Bithyni in Arati et Eudoxi Phaenomena libri III; eiusdem libri asterismorum; Achillis...
Item #3643

Berlin: Georg Reimer, 1874. First edition, rare, of the doctoral thesis of “the greatest woman mathematician prior to the twentieth century” (DSB) and the first woman in Europe to obtain a doctorate in mathematics. The thesis contains what is now called the ‘Cauchy-Kowalevsky’ theorem on the existence of solutions of..... More about Zur Theorie der partiellen Differentialgleichungen
Item #4203

Paris: Duprat, 1802. A fine copy of this influential text, which according to Babbage was "so perfect that any comment was unnecassary". "In discussing with a friend the formation of a section of the British and Foreign Bible Society, a society which had the distribution of Bibles as its mission... More about Traité Élémentaire de Calcul Différential et de Calcul Intégral; Précédé de réflexions...
Item #2252

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 about Josse. Epitome compendiosaq[ue] introductio in libros arithmeticos divi Severini Boetii...
Item #3866

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 about The art of dialling performed geometrically by scale and compasses: arithmetically, by the canons...
Item #4610

Lyons: Jacob Marechal for Simon Vincent, 5 May 1517. Third edition, the first edited by the Lullist Bernard de Lavinheta (d. ca. 1530), of the Ars Magna, his greatest work, now recognised as perhaps the first work in computer science. “Lull invented an ‘art of finding truth’ which inspired Leibniz's... More about Ars magna generalis et ultima quaruncunque artium et scientiarum assecutrix et clauigera et ad...
Item #4363

Edinburgh: 5 February. Important autograph letter from the great Scottish mathematician Colin Maclaurin (1698-1746) discussing his most important work, Treatise of Fluxions (1742), “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)..... More about Signed autograph letter, four pages in French, to Jean-Jacques d’Ortous de Mairan, secretary of...
Item #3411

Florence: Giuseppe Cocchini, 1666 (dedication dated 14 July, 1667). First edition, first issue, a magnificent copy bound in contemporary Italian red morocco gilt, probably for presentation, of the only publication of the Accademia del Cimento, the first organisation founded for the sole purpose of making scientific experiments (the more common... More about Saggi di natvrali esperienze fatte nell'Accademia del Cimento sotto la protezione del Serenissimo...
Item #4707

Messina: Pietro Spira, 1558. First edition, ‘excessively rare’ (Sotheran, 1917), of Maurolico’s Latin translations of works on ‘sphaerics’ by four ancient Greek writers, Autolycus, Menelaus, Euclid and Theodosius, those of the first two authors constituting the first printed editions. Maurolico, one of the most original mathematicians of the 16th century..... More about Theodosii sphaericorum elementorum libri III ex traditione Maurolyci, Messanensis Mathematici....
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 about Essay d'Analyse sur les Jeux de Hazard
Item #3894

Princeton: Princeton University Press, 1956. First edition of Nash’s most famous work in pure mathematics, his solution of “a deep philosophical problem concerning geometry”, first posed by Bernhard Riemann, “one of the most important pieces of mathematical analysis in this century” which “has completely changed the perspective on partial differential..... More about The imbedding problem for Riemannian manifolds
Item #3536

Cambridge; London: Typis Academicus; Benjamin Tooke, 1707. First edition of Newton’s treatise on algebra, or ‘universal arithmetic,’ his “most often read and republished mathematical work” (Whiteside). “Included are ‘Newton’s identities’ providing expressions for the sums of the ith powers of the roots of any polynomial equation, for any integer i...... More about Arithmetica Universalis; sive de Compositione et Resolutione Arithmetica Liber. Ciu accessit...
Item #4639

Antwerp: heirs of Arnold Birckman, 1567. Exceptionally fine copy, bound in citron morocco for Jacques-Auguste de Thou (1553-1617), of this rare and celebrated treatise on algebra. “Considered the greatest of Portuguese mathematicians, Nuñez reveals in his discoveries, theories, and publications that he was a first-rate geographer, physicist, cosmologist, geometer and..... More about Libro de algebra en arithmetica y geometria
Item #3645