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Mathematics
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BERTRAND, Joseph.
Traité de calcul différentiel et de calcul intégral.
Paris, Gauthier-Villars, 1864-1870.
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First edition of this comprehensi work on differential equations and calculus.
SAVERIEN, Alexandre.
Dictionnaire universel de Mathématique et de Physique, où l'on traite de l'origine, du progrès de ces deux Sciences des Arts qui en dépendent, des diverses révolutions qui leur sont arrivées jusqu'à notre temps; avec l'exposition de leurs Principes, l'analyse des sentimens des plus célèbres Auteurs sur chaque matière.
Paris, Rollin & Jombert, 1753.
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650 €
First edition.
BELIDOR, Bernard Forest (de).
Nouveau cours de mathématique à l'usage des ingénieurs officiers d'artillerie.
s.l., s.n., 1730.
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700 €
Handwritten copy of Bélidor's Nouveau cours de mathématiques published in 1725.
Our copy, in very legible handwriting, is dated 1730.
It is accompanied by the 34 plates that illustrated the printed edition of this course. At that time, Belidor was a mathematics professor at the artillery school in La Fère, and this course was intended for student officers. The work was a great success in artillery school circles.
REYNEAU, Charles-Rene.
Analyse démontrée ou la méthode de résoudre les problèmes de mathématiques et d'apprendre facilement ces sciences, expliquée et démontrée dans le premier volume et appliquée dans le second, à découvrir les propietez des Figures de la géometrie simple et composée ;.
Paris, Quillau, 1736.
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700 €
Second edition.
Numerous scientific notes from the period on free paper inserted in volume II.
DEIDIER, (Abbé).
La Mesure des surfaces et des solides, par l'arithmétique des infinis et les centres de gravité.
Paris, Charles-Antoine Jombert, 1740.
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750 €
First edition.
Work which is inspired by Wallis' method of measuring surfaces by the arithmetic of infinities which has the advantage according to Deidier of using simple algebra. Deidier found the algebra of integral calculus too abstract. Deidier's works ensured him a distinguished place among the mathematicians of his time.
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BOSSUT, Charles.
Traités de calcul différentiel et de calcul intégral.
Paris, Imprimerie de la République, An VI [1798].
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First edition.
Interesting preliminary text of 80 pages on the history of differential and integral calculus.
A reference texbook on the subject.
BARBEYRAC, Jean.
Traité du jeu, où l'on examine les principales questions de droit naturel et de morale qui ont du rapport à cette
matière.
Amsterdam, Pierre Humbert, 1709.
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750 €
First edition.
Philosophical dissertation around the game, its dangers and its abuses all the moral, economic and social facets related to the practice of games are discussed. Barbeyrac writes at a key moment when the notion of chance (behind which hides divine intervention) gradually gives way to what will become a theory of games and probabilities.
VARIGNON, Pierre.
Traité du mouvement des eaux coulantes et jaillissantes. Avec un traité préliminaire du mouvement général.
Paris, PIssot, 1725.
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750 €
First edition.
Posthumous work published by Abbé Pujol, pupil of Varignon. Pierre Varignon was the first to use differential calculus in certain areas of physics. He is one of the fathers of modern kinematics.
FONTAINE Des BERTINS, Alexis.
Mémoires donnés à l'académie royale des sciences non imprimés dans leur temps, par M.Fontaine, de cette académie.
Paris, Imprimerie Royale, 1764.
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750 €
First edition.
Twelve memories, dealing essentially with infinitesimal geometry, integral calculus, mechanics, and astronomy.
CRAMER, Gabriel.
Introduction à l'analyse des lignes courbes algébriques.
Genève, Frères Cramer & Philibert, 1750.
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800 €
First edition.
The only publication by the Genevan mathematician Gabriel Cramer (1704-1752), it includes the method known today as Cramer's rule for the resolution of linear systems of equations, using what will later be called determinants.
CARNOT, Lazare.
Réflexions sur la métaphysique du calcul infinitésimal.
Paris, Duprat, 1797.
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850 €
Rare first edition, complete with the folding plate.
VARIGNON, Pierre.
Elemens de Mathématique de monsieur Varignon.
Paris, Pierre-Michel Brunet, 1731.
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850 €
First edition, posthumoustly published of this work. This is an introduction to algebra and geometry based on Varignon's courses given at the College Mazarin.
Varignon (1654-1722), member of the Académie des Sciences and one of the outstanding scientist of his time, was an intimate friend of Newton, Leibniz, and Bernoullis. He demonstrated the principle of the parallelogram of forces simultaneously with and independently of Newton. He was the first French scientist of note to advocate the new differential calculus.
LACROIX, Sylvestre Francois.
Traité du calcul differentiel et du calcul integral.
Paris, J.B.M. Duprat, 1797-1798-1800.
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850 €
First edition.
Rare with the third volume, published separatly, under the title "Traité des différences et des séries" and that will be included in the second edition of the "Traité du calcul differentiel et du calcul integral".
STONE, Edmund.
Analise des infiniments petits comprenant le calcul intégral dans toute son étendue; avec son application aux quadratures, rectifications, cubatures, centres de gravité, de percussion, &c. de toutes sortes de courbes.
Paris, Julien Michel Gandouin, 1735.
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900 €
First edition in French.
Translation in French by Rondet of the Method of Fluxions published in English in 1730.
Stone participated in the spread of differential calculus in Europe following Leibniz, Bernouilli and L'Hospital.
In this book Stone continues the work of the Marquis de L'Hospital on the infinitesimal calculus.
The long introductory speech written by Louis-Bertrand Castel is devoted to Stone and the history of this completely innovative method of calculation.
GUYOT, Edme-Gilles.
Nouvelles Récréations Physiques et Mathématiques, contenant ce qui a été imaginé de plus curieux dans ce genre, et ce qui se découvre journellement.
Paris, Gueffier, 1786.
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900 €
Third edition. Complete of it's 102 plates (we have 103 plates. pl. 48 of P2 in double)
34 plates of volume 2 are watercolored.
This book is one of the most complete and certainly the most beautifully illustrated works of popular science that developed in the late eighteenth century (Ozanam, Nollet, ...).
The first volume deals with mathematics, magnetism, and electricity. The second volume deals with geometry, optics, catoptrics, dioptrics, fire, air and water. The last volume is organized around the following themes: numbers, hand addresses and card tricks.
OZANAM, Jacques.
Récréations mathématiques et physiques, qui contiennent plusieurs problèmes d'arithmétique, de géométrie, de musique, d'optique, de gnomonique, de cosmographie, de mécanique, de pyrotechnie, & de physique. Avec un traité des horloges élémentaires.
Paris, Claude Jombert, 1723.
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900 €
New edition, revised, corrected and augmented since the first one published in 1694.
The first edition with 136 plates.
This book on mathematics and physics deals with various problems in arithmetic, geometry, music, optics, gnomonics, cosmography, mechanics, acoustics, pyrotechnics, physics, water clocks, natural phosphors, perpetual lamps, etc.
BUDAN, Ferdinand.
Nouvelle méthode pour la résolution des équations numériques.
Paris, Courcier, 1807.
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900 €
First edition.
A fresh copy, untrimmed, as issued.
BION, Nicolas.
Traité de la construction et des principaux usages des instrumens de mathématique.
Paris, Brunet, Ganeau, Robustel & Osmont, 1725.
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900 €
Bion had an instrumentation workshop in Paris.
He seems to have made globes, sundials, mathematical instruments, and mechanical machines with equal accuracy.
In the "Traité de la construction.." he gives a fairly complete list of instruments normally constructed during the first quarter of the eighteenth century.
His treatise was more for the user and the amateur than for the manufacturer. (DSB)
THIRD EDITION, THE FIRST WITH 37 ENGRAVED FOLDING PLATES.
LEVY, Paul.
Calcul des probabilités.
Paris, Gauthier-Villars, 1925.
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950 €
First edition.
Paul Lévy (1886-1971) French mathematician is among the founders of modern probability theory. We also owe him important considerations on the stable stochastic laws which bear his name as well as on martingales. In 1920, he was appointed professor of analysis at the École Polytechnique and on this occasion discovered the discipline that would leave his mark the most: the calculation of probabilities. It can be said that most of the essential concepts of probability theory derive from him.
MONGE, Gaspard.
Géométrie descriptive. Leçons données aux écoles normales, l'An 3 de la république.
Paris, Baudouin, An VII [1799].
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950 €
First edition, first issue with the errata at the verso of page vii.
"Monge is regarded as the creator of descriptive geometry, for 'it ws he who elegantly and methodically converted the group of graphical procedures used by practionners into a general uniform technique based on simple an rigorous reasoning and methods ...Monge's systematic use of cylindrical projection and, more discreetly, that of central projection, opened the way to the parallel creation of projective and modern geometry' (DSB). It was primarily through Monge's teachings, both at the ephemeral École de l'an III and the École Polytechnique, that descriptive geometry, analytical geometry and differential geometry were established as special fields".(Norman).
DUPIN, Charles.
Développements de géométrie, avec des applications à la stabilité des vaisseaux, aux déblais et remblais, au défilement, à l'optique, etc. pour faire suite a la géométrie descriptive et a la géométrie analytique de M. Monge. Théorie.
ET
Applications de géométrie et de méchanique, à la Marine, aux Ponts et Chaussées, etc. Pour faire suite aux développements de Géométrie.
Paris, Vve Coucier & Bachelier, 1813-1822.
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950 €
First edition of the two books of the mathematical works of Dupin.
Dupin is known for it's theorem and for the cyclides of Dupin.
Today, Dupin cylides are used in computer-aided design (CAD), because cyclide patches have rational representations and are suitable for blending canal surfaces (cylinder, cones, tori, and others).
OZANAM, Jacques.
Cours de Mathématiques qui comprend toutes les parties de cette Science les plus utiles & les plus nécessaires à un homme de Guerre, & à tous ceux qui se veulent perfectionner dans les Mathématiques.
Paris, Jean Jombert, 1693.
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1150 €
First edition.
Full course of 5 volumes and impressive iconographic support in 204 plates.
Beyond purely mathematical treatises on geometry, arithmetic and trigonometry we find a treatise on gnonomics, a treatise on fortification, the sine and logarithm tables.
L’HOSPITAL, Guillaume (Marquis de).
Traité analytique des sections coniques et de leur usage pour la résolution des équations dans les problèmes tant déterminez qu’indéterminez.
Paris, Jean Boudot, 1707.
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1200 €
First edition.
Treatise on conic sections, which he treats both by geometric and analytical methods (equations of the form ax2 bx2 cxy dx ey f = 0) and which was very successful. Finalized in 1699, it was not published until after his death at the request of Fontenelle, then secretary of the Royal Academy.
LOBACHEVSKY, Nikolai Ivanovich.
Nouveaux principes de la géométrie avec une théorie complète des parallèles.
Bruxelles, Hayez, 1901.
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1200 €
First edition in french of this the "New Foundations of Geometry with a Complete Theory ol Parallels".
LACROIX, Sylvestre Francois.
Traité du calcul differentiel et du calcul integral.
Paris, J.B.M. Duprat, 1797-1798-1800.
More Details >
Sold
First edition.
Rare with the third volume, published separatly, under the title "Traité des différences et des séries" and that will be included in the second edition of the "Traité du calcul differentiel et du calcul integral".
CORIOLIS, Gustave Gaspard.
Théorie mathématique des effets du jeu de Billard.
Paris, Carilian-Goeury, 1835.
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1200 €
Coriolis, devoted his energies to the applications of the laws of mechanics and was responsible for the terms "work" and "kinetic energy." He is best known for "his theorem relating the various components of acceleration in rotating systems, one of which rise to the so-called Coriolis force. (Bibliotheca mecanica).
First edition of the first mathematical analysis of the complex kinetics of billiards.
PRESTET, Jean.
Nouveaux elemens des mathematiques ou principes generaux de toutes les sciences qui ont les grandeurs pour objet.
Paris, André Pralard, 1689.
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1200 €
Second enlarged edition.
This edition is important because Prestet gives (Volume 1 p.140 to p.150) for the first time his some early work on the fundamental theorem of arithmetic.
MÖBIUS, August Ferdinand.
Der barycentrische Calcul, ein neues Hülfsmittel zur analytischen Behandlung der Geometrie.
Leibzig, Barth, 1827.
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1200 €
First edition of the most important work of Möbius.
EULER, Léonard.
Introduction à l’analyse infinitésimale.
Paris, Barrois, An IV (1796) - an V (1797).
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1200 €
First french edition (The original edition is in Latin) of this fundamental work in which Euler discusses the general study of functions and highlights for the first time the connections between exponential and circular functions.
It introduces common abbreviations for trigonometric functions, and shows the relation cos θ + i sin θ = e (iθ).
LAGRANGE, Joseph Louis.
Théorie des fonctions analytiques, contenant les principes du calcul différentiel, dégagés de toute considération d'infiniment petits ou d'évanouissans, de limites ou de fluxions et réduits à l'analyse algébrique des quantités finies.
Paris, Imprimerie de la République, An V [1797].
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1200 €
First edition, variant A with 276 pages (an other variant B has 277 pages, see Norman)
Copy as a prize awarded in 1806 to the Collège Sainte Barbe (the college's monogram on the covers) by Gaspard Monge to François de Sales Desnoyers (1788-1846). François Desnoyers joined the École Polytechnique in 1809, served in the Napoleonic campaigns, and lost an arm in Leipzig in 1814. In 1826, he became an Administrator at the École Polytechnique.
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