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Photo DU BOURGUET, Jean-Baptiste-Estienne. 

DU BOURGUET, Jean-Baptiste-Estienne. 

Traités élémentaires de calcul différentiel et de calcul intégral, indépendans de toutes notions de quantités infinitésimales et de limites. 

Paris, Courcier, 1810-11.
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250 €

First edition.
Jean-Baptiste-Estienne Du Bourguet (1767-1845) was a French mathematician and naval officer. He was a professor of mathematics at the Lycée Impérial. This work is a manual on differential and integral calculus, notable for its pedagogical approach that seeks to bypass notions of limits and infinitesimals for beginners, focusing instead on practical applications in science.

Photo MONGE, Gaspard. 

MONGE, Gaspard. 

Application de l'analyse à la géométrie. 

Paris, Bachelier, 1850.
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The first edition appeared in 1795 under the title 'Feuilles d'analyse appliquée à la géométrie'. In this work, Monge "assembled, along with general considerations regarding the theory of surfaces and the geometric interpretation of partial differential equations, monographs on about twenty families of surfaces defined by their mode of generation." (DSB [IX p. 476]).
In 1802, working with Hachette, he prepared a brief exposition, of analytic geometry that was designed to replace, the few remarks on the subject contained in the Feuilles. Entitled 'Application de l’algèbre à l’analyse', it was published separately in 1805; in 1807 edition and also for the fourth 1809 edition, it became, the first part of the final version of 'Feuilles d’analyse', now entitled 'Application de l'Analyse à la Géométrie.'
It's an, important work, in which, "The authors show that every plane section of a second degree surface is a second degree curve, and that parallel planes cut out similar and similarly placed curves. These results parallel Archimedes' geometric theorems. The authors also show that the hyperboloid of one sheet and the hyperbolic paraboloid are ruled surfaces, that is, each can be generated in two different ways by the motion of a line or each surfiace is formed by two systems of lines. The result on the one-sheeted hyperboloid was known by 1669 to Christopher Wren, who said that this figure could be Senerated by revolving a line about another not in the same plane. With the work of Euler, Lagrange, and Monge, analytic geometry became an independent and full-fledged branch of mathematics." (Kline in. Mathematical ... p. 547).

Fifth edition augmented by Joseph Liouville, who added substantial notes, as well as a translation of Carl Friedrich Gauss's key memoir (Disquisitiones generales circa superficies curvas, 1827) on the general theory of curved surfaces.

Photo BERTRAND, Louis. 

BERTRAND, Louis. 

Développement nouveau de la partie élémentaire des mathématiques, prise dans toute son étendue. 

Genève, Aux dépens de l'auteur, 1778.
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250 €

First edition.
Professor of mathematics at the academy of Geneva, Louis Bertrand proposes in this book a proof of the postulate of Euclid.
A book that had a strong impact until the appearance of non-Euclidean geometry.

Photo HACHETTE, Jean. 

HACHETTE, Jean. 

Traité de géométrie descriptive, comprenant les applications de cette géométrie aux ombres, à la perspective et à la stéréotomie. 

Paris, Corby, 1822.
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250 €

First edition.

Photo POINCARÉ, Henri. 

POINCARÉ, Henri. 

Des fondements de la géométrie. 

Paris, Etienne Chiron, [1921].
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250 €

Henri Poincaré (1854-1912) was a French mathematician, physicist, philosopher of science, and engineer, considered one of the last "universal scholars." His work spanned many fields. This work is a philosophical reflection on the nature of mathematics and geometry, in which he explores the fundamental concepts of space and the foundations of non-Euclidean geometries.

Photo VOLTERRA, Vito. 

VOLTERRA, Vito. 

Leçons sur la Théorie Mathématique de la Lutte pour la Vie. 

Paris, Gauthier-Villars, 1931.
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250 €

First edition.
Vito Volterra (1860-1940) was a world-renowned Italian mathematician and physicist, a member of the Institute and professor at the University of Rome. His Leçons sur la Théorie Mathématique de la Lutte pour la Vie (Lectures on the Mathematical Theory of the Struggle for Life), edited by Marcel Brelot and published in the "Cahiers Scientifiques" collection directed by Gaston Julia, is a pioneering work in biomathematics. Volterra is considered one of the founders of the mathematical study of biological interactions, particularly predator-prey relationships and population dynamics. This book presents his famous differential equations (Lotka-Volterra equations), which model these interactions. It is a seminal work at the intersection of mathematics and biology.

Photo ADHÉMAR, Joseph-Alphonse. 

ADHÉMAR, Joseph-Alphonse. 

Traité des ombres. 

Paris, Mathias, 1852.
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250 €

Second edition.
Complete copy with his atlas.

Photo HERMITE, Charles. 

HERMITE, Charles. 

Oeuvres de Charles Hermite. 

Paris, Gauthier-Villars, 1905-1917.
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250 €

First edition of the works of Charles Hermite, compiled posthumously by Emile Picard.
Charles Hermite (1822–1901) was a French mathematician. His work focused primarily on number theory, quadratic forms, orthogonal polynomials, elliptic functions, and differential equations. Several mathematical entities are named Hermitian in his honor. He is also known as one of the first to use matrices.
His works were collected and published after his death by his son-in-law Émile Picard.

Photo [ACADEMIE ROYALE DES SCIENCES] MAUPERTUIS, Pierre Louis Moreau (de) || CASSINI, Jacques. 

[ACADEMIE ROYALE DES SCIENCES] MAUPERTUIS, Pierre Louis Moreau (de) || CASSINI, Jacques. 

Histoire de l'académie royale des sciences, Année 1726. 

Paris, Imprimerie Royale, 1728.
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250 €

A collection of 18 scientific works presented to the Academy of Sciences during the year 1726.
Among these articles is a memoir by Maupertuis on the question of Maximis & Minimis, the first edition of the author's first mathematical article.

MARALDI, Observations Meteorologiques de l'année 1725. (Page 1)
L'ABBÉ DE MOLIÈRES, Explication Phyfique & Mecanique du choc des Corps à Ressort. (Page 7)
PETIT, Medecin, Memoire fur plufieurs découvertes faites dans les Yeux de l'Homme, des Animaux à quatre pieds, des Oiſeaux & des Poiſſons. (Page 69)
DE MAUPERTUIS, Sur une Question de Maximis & Minimis. (Page 84)
GEOFFROY LE CADET, Différens moyens d'enflammer, non-ſeulement les Huiles eſſentielles, mais même les Baumes naturels, par les eſprits acides. (Page 95)
COUPLET, De la pouſſée des Terres contre leurs Reveſtements, & de la force des Revestements qu'on leur doit opposer. (Page 106)
DU FAY, Sur quelques Experiences de Catoptrique. (Page 165)
WINSLOW, Observations nouvelles sur les mouvements ordinaires de l'Epaule. (Page 175)
DE MAIRAN, Description de l'Aurore Boreale du 26 Septembre, & de celle du 19 Octobre. Observées au Château de Breüillepont... (Page 198)
PITOT, Examen de la force qu'il faut donner aux Cintres dont on ſe ſert dans la conſtruction des grandes Voutes, des Arches des Ponts. (Page 216)
MARALDI, Observations faites à Pequin, & comparées avec celles qui ont esté faites à Paris. (Page 236)
DE REAUMUR, Sur le Son que rend le Plomb en quelques circonstances. (Page 243)
M. DE LISLE, Sur la Longitude de l'embouchure de la Riviere Saint Louis, nommée communément le fleuve Mississipi. (Page 249)
M. DE LISLE, Obſervations Aſtronomiques faites à Berlin dans l'Obſervatoire Royal. (Page 258)
CASSINI, Obſervation de l'Eclipse de Mars par la Lune, faite à l'Obſervatoire Royal le 18 Janvier 1726. (Page 260)
PETIT, Medecin, Memoire dans lequel on détermine l'endroit où il faut piquer l'œil dans l'operation de la Cataracte. (Page 262)
DE REAUMUR, Que le Fer eſt de tous les Metaux celui qui ſe moule le plus parfaittement. (Page 273)
GODIN, Sur le Meteore qui a paru le 19 Octobre de cette Année. (Page 287)
DE REAUMUR, Remarques ſur la Plante appellée à la Chine Hia tſao tom tſhom, ou Plante Ver. (Page 302)
BOULDUC LE FILS, Essai d'Analyse en general des nouvelles Eaux Minerales de Passy. (Page 306)
CASSINI, Obſervation de l'Eclipse du Soleil, faite à Thury près de Clermont en Beauvoisis, le 25 Septembre1726. (Page 328)
GODIN, Obſervation de l'Eclipse de Soleil, du 26 Septembre 1726, faite à l'Observatoire Royal. (Page 330)
MARALDI, Obſervations Meterologiques de l'an 1726. (Page 330).

Photo MASCHERONI, Lorenzo. 

MASCHERONI, Lorenzo. 

Géométrie du compas. 

Paris, Bachelier, 1828.
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250 €

Second edition.

Photo MONGE, Gaspard. 

MONGE, Gaspard. 

Géométrie descriptive, nouvelle édition, avec un supplément, par M. Hachette. 

Paris, K. Klostermann fils, 1811.
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250 €

Second edition for the Monge' treatise.
First edition of the Supplement by Hachette.

Photo DARBOUX, Gaston. 

DARBOUX, Gaston. 

Leçons sur la théorie générale des surfaces et les applications géométriques du calcul infinitésimal. 

Paris, Gauthier-Villars, 1894-1915.
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250 €

Second enlarged edition.
Gaston Darboux (1842-1917) was a major French mathematician, permanent secretary of the Académie des sciences, honorary dean of the Faculty of Sciences, and member of the Bureau des Longitudes. His Leçons sur la théorie générale des surfaces (Lessons on the General Theory of Surfaces) is a monumental work in differential geometry, considered a timeless classic.

Photo CHASLES, Michel. 

CHASLES, Michel. 

Traité de géométrie supérieure. 

Paris, Bachelier, 1852.
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220 €

First edition.
Major book of the famous mathematician Chasles.

Photo CREMONA, Luigi. 

CREMONA, Luigi. 

Les Figures Réciproques en Statique Graphique. (Texte et Atlas). 

Paris, Gauthier-Villars, 1884-1885.
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200 €

First french edition.
Luigi Cremona (1830-1903) was an Italian mathematician, director of the School of Applied Engineering in Rome, and a leading figure in algebraic geometry and graphic statics. Graphic statics is a method of solving structural mechanics problems using geometric constructions.

Photo PAPPUS D'ALEXANDRIE. 

PAPPUS D'ALEXANDRIE. 

La Collection Mathématique. Oeuvre traduite pour la première fois du grec en français avec une introduction et des notes par Paul Ver Eecke. 

Paris, Albert Blanchard, 1982.
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200 €

Reprint from Blanchard.

Photo CLAIRAUT, Alexis. 

CLAIRAUT, Alexis. 

Élémens de Géométrie. 

Paris, David fils, 1741.
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200 €

First edition.

Photo BRIOT, Charles. 

BRIOT, Charles. 

Théorie des fonctions abéliennes. 

Paris, Gauthier-Villars, 1879.
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200 €

First edition.

Photo OZANAM, Jacques. 

OZANAM, Jacques. 

Méthode de lever les plans et les cartes de terre et de mer avec toutes sortes d'instrumens, et sans instrumens. La description & l'usage de ces instrumens, qui sont le demi-cercle, la planchette de diverses façons, la boussole, l'instrument universel, et le récipiangle. 

Paris, Claude Jombert, 1716.
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200 €

In addition to detailing the geometric methods of surveying plans, Ozanam describes the composition and use of the equipment specific to surveyors of the time: copper board, compass, Huygens level, etc.

Photo COURNOT, Antoine-Augustin. 

COURNOT, Antoine-Augustin. 

De l’origine et des limites de la correspondance entre l’algèbre et la géométrie. 

Paris, Hachette, 1847.
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200 €

First edition.
Antoine-Augustin Cournot was a French mathematician, economist, and philosopher (1801–1877). He is primarily recognized for his pioneering contributions to the application of mathematics to economics.

Photo HALPHEN, Georges-Henri. 

HALPHEN, Georges-Henri. 

Traité des fonctions elliptiques et de leurs applications. 

Paris, Gauthier-villars, 1886-1891.
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200 €

First edition.

Photo COUTURAT, Louis. 

COUTURAT, Louis. 

De l'infini mathématique. 

Paris, Félix Alcan, 1896.
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200 €

First edition.

Presentation copy.

Photo PUISSANT, Louis. 

PUISSANT, Louis. 

Traité de topographie, d'arpentage et de nivellement. 

Paris, Courcier, 1807-1810.
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190 €

First edition.
Louis Puissant (1769-1843) was a French engineer, geographer, and mathematician. He was a professor at the central school in Agen in 1795. In 1802 and 1804, he was commissioned to survey the island of Elba in Italy.
Complete with the Supplement published in 1810.

Photo LEBESGUE, Henri. 

LEBESGUE, Henri. 

Leçons sur l'Intégration et la Recherche des Fonctions Primitives. 

Paris, Gauthier-Villars, 1904.
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190 €

First edition.
Henri Lebesgue (1875-1941), is one of the great French mathematicians of the first half of the twentieth century. He is recognized for his theory of integration and for his theory of measurement, which extends the important early work of Émile Borel.

His lessons on integration repeat the courses given in 1902-1903 at the Collège de France. He notably exhibited there what would become Lebesgue's complete works.

Photo COUSINERY, Benjamin-Eugène. 

COUSINERY, Benjamin-Eugène. 

Le calcul par le trait, ses éléments et ses applications. 

Paris, Carilian-Gœury, 1839.
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180 €

First edition.
First treatise on calculus by trace.
Benjamin-Eugène Cousinery was a chief engineer of the Ponts et Chaussées. This work is a technical manual that presents a graphical calculation method, known as "le calcul par le trait," and its practical applications in engineering and construction, such as measuring volumes and sizing structures.

Photo BRIOT, Charles || BOUQUET, Jean-Claude. 

BRIOT, Charles || BOUQUET, Jean-Claude. 

Théorie des Fonctions Elliptiques. 

Paris, Gauthier-Villars, 1875.
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180 €

Second edition.

Photo COWLEY, John-Lodge || MARIE, François-Charles-Michel. 

COWLEY, John-Lodge || MARIE, François-Charles-Michel. 

Géométrie Stéréographique, ou reliefs des polyèdres, pour faciliter l'étude des corps, en vingt-cinq planches gravées, dont vingt-quatre sur carton et découpées. 

Paris, Giroux et cie, 1835.
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First french edition.
This work, authored by François-Charles-Marie Marie (1780-1848), is an adaptation of an English work by John-Lodge Cowley. It is particularly notable for its pedagogical approach to the geometry of polyhedra, illustrated with twenty-four removable plates designed to be cut out and assembled.

Photo FAVARD, Jean. 

FAVARD, Jean. 

Cours d'analyse de l'École Polytechnique. 

Paris, Gauthier-Villars, 1960.
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180 €

First edition.

Photo RIVARD, Dominique François. 

RIVARD, Dominique François. 

Eléments de Mathématiques. 

Paris, Saillant & Desaint, 1752.
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170 €

Fifth edition augmented by the author.
Rivard is considered one of the best educators of the eighteenth century.

Photo BERNSTEIN, Serge. 

BERNSTEIN, Serge. 

Leçons sur les propriétés extrémales et la meilleure approximation des fonctions analytiques d'une variable réelle. 

Paris, Gauthier-Villars, 1926.
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160 €

First edition.
Serge Bernstein (1880-1968) was a Ukrainian mathematician who made significant contributions to partial differential equations.

Photo LAGRANGE, Joseph Louis. 

LAGRANGE, Joseph Louis. 

Traité de la résolution des équations numériques de tous les degrés. 

Paris, Bachelier, 1826.
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160 €

Third edition, enlarged with an analysis by Poinsot.

In this work, Lagrange demonstrates the need to find new techniques for solving equations beyond the fourth degree. Indeed, while auxiliary equations of degree 3 can be used to solve fourth-degree equations, for equations of degree 5 and above, the degree of the auxiliary equations increases.

Lagrange also presents methods of approximate solution in this work.

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