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Photo POINCARE, Henri || HILBERT, David || HERTZ, Heinrich. 

POINCARE, Henri || HILBERT, David || HERTZ, Heinrich. 

Acta Mathematica. 

Stockholm, F et G Beijer, 1887-1900.
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1500 €

First edition.
Set of eleven volumes of the famous Acta mathematica in which the greatest mathematicians published their research in their languages. Among the illustrious contributors we will note 7 articles by Henri Poincaré, 2 articles by David Hilbert, 1 article by Hertz, 3 articles by Tchebycheff and numerous articles from the French school following Emile Borel.

Non-exhaustive list of articles:

POINCARÉ, H. L'oeuvre mathématique de Weierstrass..........
POINCARÉ, H. Sur les propriétés du potentiel et sur les fonctions Abéliennes
POINCARÉ, H. Sur une forme nouvelle des équations du problème des trois corps...
POINCARÉ, H. Sur les rapports de l'analyse pure et de la physique mathématique
POINCARE, H. La méthode de Neumaun et le problème de Dirichlet
POINCARE, H. Sur la polarisation par diffraction
POINCARÉ, H. Sur la polarisation par diffraction. (Seconde Partie)

HILBERT, DAVID. Ein Beitrag zur Theorie des Legendre'schen Polynoms
HILBERT, D. und HURWITZ, A. Über die diophantischen Gleichungen vom Geschlecht Null


HERTZ, H. Sur les équations fondamentales de l'électrodynamique pour les corps en mouvement

TCHEBYCHEFF, P. Sur deux théorèmes relatifs aux probabilités
TCHEBYCHEFF, P. Sur les résidus intégraux qui donnent des valeurs approchées des intégrales.
TCHEBYCHEW, P. Angenäherte Darstellung der Kvadrat- wurzel einer Veränderlichen mittelst einfacher Brüche. Aus dem Rus sischen übersetzt von O. Backlund....


BOREL, ÉMILE. Sur les séries de Taylor 243 248
d'OCAGNE, MAURICE. Théorie des équations représentables par trois systèmes linéaires de points cotés
COUSIN, PIERRE. Sur les fonctions den variables complexes
GOURSAT, E. Sur une classe d'équations aux dérivées partielles du second ordre, et sur la théorie des intégrales intermédiaires
LECORNU, LÉON. Mémoire sur le pendule de longueur variable
LIOUVILLE, R. Sur les équations de la dynamique
BOREL, EMILE. Sur les zéros des fonctions entières..........
HADAMARD, J. Mémoire sur l'élimination
LIOUVILLE, R. Sur le mouvement d'un corps solide pesant suspendu par l'un de ses points
PINCHERLE, 8. Sur la génération des systèmes récurrents au moyen d'une équation linéaire différentielle.
HADAMARD, J. Sur les caractères de convergence des séries à termes positifs et sur les fonctions indéfiniment croissantes
HADAMARD, J. Note additionnelle à l'article Sur les caractères de convergence des séries à termes positifs et sur les fonctions indéfiniment croissantess
PICARD, E. Sur une classe de transcendantes nouvelles. (Pre- mier mémoire)........
GOURSAT, É. Sur un mode de transformation des surfaces minima
GOURSAT, É. Sur un mode de transformation des surfaces mi- nima (second mémoire)
PICARD, É. Démonstration d'un théorème générale sur les fonctions uniformes liées par une relation algébrique...
PICARD, E. Sur une classe d'équations linéaires aux dérivées partielles du second ordre..
PICARD, EMILE. Sur une classe de transcendantes nouvelles (second mémoire).

Photo CRAMER, Gabriel. 

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.

Photo FONTES, Joseph. 

FONTES, Joseph. 

Archéologie Mathématique : Réunion de 6 plaquettes. 

Toulouse, s.n., [v. 1897].
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150 €

First editions.
Meeting of 6 brochures on the subject of Mathematical Archaeology, taken separately from science history journals:.

Photo FONTES, Joseph. 

FONTES, Joseph. 

Réunion de 4 plaquettes sur l'arithmétique et la division. 

Toulouse, s.n., [1892-1893].
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150 €

First editions.
Meeting of 4 brochures on the subject of arithmetics.

Photo CLAIRAUT, Alexis. 

CLAIRAUT, Alexis. 

Élémens de Géométrie. 

Paris, Lambert & Durand, 1741.
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500 €

First edition.
Title page at Lambert & Durand, we find the title page more frequently at David fils. Bibliographers agree that this is the same edition.
The three last blank pages with old manuscript notes.

Clairaut's work enjoyed considerable success in France and Europe.

Photo DARBOUX, Gaston. 

DARBOUX, Gaston. 

Leçons sur les systèmes orthogonaux et les coordonnées curvilignes. 

Paris, Gauthier-Villars, 1910.
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60 €

Second edition.

Gaston Darboux (1842-1917) is a French mathematician, he succeeds in 1878 to Chasles at the chair of geometry superior of the faculty of sciences of Paris.

Photo CAGNOLI, Antoine. 

CAGNOLI, Antoine. 

Traité de trigonométrie rectiligne et sphérique, Contenant des Méthodes et des Formules nouvelles, avec des applications à la plupart des problêmes de l'Astronomie. 

Paris, Didot fils ainé, 1786.
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200 €

First french edition.
Translation by Chompré of the work of Antoine Cagnoli, Italian astronomer and mathematician.
Prize-giving copy of the Ecole centrale de la Dorgogne awarded in 1799.

Photo LEVY, Paul. 

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.

Photo MERAY, Charles. 

MERAY, Charles. 

Nouveau précis d'analyse infinitésimale. 

Paris, Savy, 1872.
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300 €

First edition.

Photo LACROIX, Silvestre François. 

LACROIX, Silvestre François. 

Essais sur l'enseignement en général et sur celui des mathématiques en particulier. 

Paris, Bachelier, 1828.
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200 €

Third edition.

Copy from the scientific library of Richard M. Hoe (1812-1886), inventor of the rotary press and great collector of scientific literature. Our copy appears on page 41 of his library's inventory.

Photo D'OCAGNE, Maurice. 

D'OCAGNE, Maurice. 

Cours de géométrie pure et appliquée de l'école polytechnique. 

Paris, Gauthier-Villars, 1917-1918.
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120 €

First edition.

Presentation copy to Henri Brocard.

Henri Brocard (1845-1922), polytechnician and officer, engineering commander, he is best known for his work on the modern geometry of the triangle with Émile Lemoine and Joseph Neuberg in the 1870s-1880s. We owe him the construction of Brocard's point, circle, line and angle which have particular properties.

Photo LEBESGUE, Henri. 

LEBESGUE, Henri. 

Leçons sur les séries trigonométriques. 

Paris, Gauthier-Villars, 1906.
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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 trigonometric series repeat the courses given in 1904-1905 at the Collège de France.

Photo DARBOUX, Gaston. 

DARBOUX, Gaston. 

Principes de géométrie analytique. 

Paris, Gauthier-Villars, 1917.
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60 €

First edition.

Gaston Darboux (1842-1917) is a French mathematician, he succeeded Chasles in 1878 as chair of higher geometry at the Paris Faculty of Sciences. His work concerns analysis (integration, partial differential equations) and differential geometry (study of curves and surfaces). They were a source of inspiration for the Cosserat brothers as well as for Élie Cartan.

Photo LEBESGUE, Henri. 

LEBESGUE, Henri. 

Leçons sur les constructions géométriques. 

Paris, Gauthier-Villars, 1950.
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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 geometric constructions repeat the courses given in 1940-1941 at the Collège de France.

Photo LEBESGUE, Henri. 

LEBESGUE, Henri. 

Sur la mesure des grandeurs. 

Paris, Gauthier-Villars, 1956.
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Second 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.

Compilation of Lebesgue's articles published in Enseignement mathématique from 1931 to 1935.

Photo LEVY, Paul. 

LEVY, Paul. 

Leçons d'Analyse Fonctionnelle. 

Paris, Gauthier-Villars, 1922.
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50 €

First edition.
Paul Lévy (1886-1971) French mathematician is among the founders of modern probability theory. In 1920, he was appointed professor of analysis at the École Polytechnique.

Photo LEBESGUE, Henri. 

LEBESGUE, Henri. 

Les Coniques. 

Paris, Gauthier-Villars, 1942.
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30 €

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.

Preface by Paul Montel.

Photo LEBESGUE, Henri. 

LEBESGUE, Henri. 

Les Coniques. 

Paris, Gauthier-Villars, 1942.
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30 €

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.

Preface by Paul Montel.

Photo VOLTERRA, Vito || PÉRÈS, Joseph. 

VOLTERRA, Vito || PÉRÈS, Joseph. 

Leçons sur la composition et les fonctions permutables. 

Paris, Gauthier-Villars, 1924.
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30 €

First edition.
Vito Volterra (1860-1940) was an Italian mathematician and physicist. He is best known for his work on integro-differential equations, dislocation statics in crystals, biomathematics and population dynamics.

Photo VOLTERRA, Vito. 

VOLTERRA, Vito. 

Leçons sur les fonctions de lignes. 

Paris, Gauthier-Villars, 1913.
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30 €

First edition.
Vito Volterra (1860-1940) was an Italian mathematician and physicist. He is best known for his work on integro-differential equations, dislocation statics in crystals, biomathematics and population dynamics.

Photo PICARD, Emile. 

PICARD, Emile. 

Leçons sur quelques types simples d'équations aux dérivées partielles avec des applications à la physique mathématique. 

Paris, Gauthier-Villars, 1927.
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50 €

First edition.
Émile Picard (1856-1941), is a French mathematician, specialist in mathematical analysis. He gave his name to an iterative method of solving integral equations.
Course given at the Faculty of Sciences in 1907 and revised in 1925.

Photo PICARD, Emile. 

PICARD, Emile. 

Leçons sur quelques équations fonctionnelles avec des applications à divers problèmes d'analyse et de physique mathématique. 

Paris, Gauthier-Villars, 1928.
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30 €

First edition.
Émile Picard (1856-1941), is a French mathematician, specialist in mathematical analysis. He gave his name to an iterative method of solving integral equations.
Course given at the Sorbonne in 1911 and revised in 1927.

Photo PICARD, Emile. 

PICARD, Emile. 

Leçons sur quelques problèmes aux limites de la théorie des équations différentielles. 

Paris, Gauthier-Villars, 1930.
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30 €

First edition.
Émile Picard (1856-1941), is a French mathematician, specialist in mathematical analysis. He gave his name to an iterative method of solving integral equations.
Course given at the Sorbonne in 1908-10 and revised in 1928.

Photo KLEIN, Felix. 

KLEIN, Felix. 

Vortrage uber ausgewahlte fragen der elementargeometrie ausgearbeitet von F. Tagert. 

Leipzig, Teubner, 1895.
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First edition.
Conference during which the famous German mathematician gives a progress report on the latest work on certain famous problems of geometry: the squaring of the circle, the trisection of angles, the duplication of the cube.

Klein presents in particular the transcendence of the number π demonstrated by Lindemann a few years earlier.

Photo LA HIRE, Philippe De. 

LA HIRE, Philippe De. 

Nouveaux élémens des sections coniques, les lieux géométriques, la construction, ou effection des équations. 

Paris, André Pralard, 1679.
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1500 €

First edition.
Philippe de La Hire (1640-1718) is a French mathematician, he is the successor of Desargues and Pascal in the geometry of conics, in that he deduces the properties of conics from the properties of the circle.
La Hire innovates compared to his two predecessors, in that he exploits to the maximum the properties of invariance of harmonic division, which allows him to reason almost exclusively in the plane (and not in space).
This approach leads him to develop the notions of poles and polars, homology, orthoptic locus, etc.

Photo DORMOY, Emile. 

DORMOY, Emile. 

Théorie Mathématique des assurances sur la vie. 

Paris, Gauthier-Villars, 1878.
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450 €

First edition.
Emile Dormoy, a Polytechnique and mining engineer, will manage the Soleil-Vie insurance company.
He leaves us this important treatise on mathematics for the use of actuaries in which he notably devotes a chapter to the Theory of deviations.
He describes there before Wilhelm Lexis what will be known as the "Lexis Ratio".
The law of deviations subsequently developed by Bachelier will be one of the bases of financial mathematics.

Photo L’HOSPITAL, Guillaume (Marquis de). 

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.

Photo GENTY, Louis || [MAUGUE ?]. 

GENTY, Louis || [MAUGUE ?]. 

Cours de géométrie et de trigonométrie rectiligne suivant Mr Genty. 

s.l., s.n., 1800.
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600 €

Original Manuscript.
Geometry course certainly given by Louis Genty, who was then professor of Mathematics at the Ecole centrale du Loiret in Orléans. Louis Genty became known in his field for having written a book on Fermat's contributions to geometry and he became a correspondent for the Académie des Sciences in the geometry section shortly before his death in 1817.

Photo GALOIS, Évariste. 

GALOIS, Évariste. 

Oeuvres mathématiques d'Évariste Galois. In Journal de Mathématiques pures et appliquées ou Recueil mensuel de mémoires sur les diverses parties des mathématiques, Année 1846, Tome XI. 

Paris, Bachelier, 1846.
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6500 €

First edition of collected mathematical works of Evariste Galois given by Liouville in this volume of the Journal de Mathématiques pures et appliquées .

A brilliant mathematician, misunderstood in his day and with a tragic fate (he died at the age of 20 in a gallant duel), Galois created the notion of group, and his work has inspired generations of mathematicians.
A brilliant student, he was misunderstood by his contemporaries. Poisson rejected the work he wanted to present to the Paris Academy of Sciences.
In 1832, on the eve of his fatal duel, Galois wrote his mathematical will, which he entrusted to a friend.
It was not until 1846 that Liouville published them in this volume of the Journal des mathématiques, and not until 1870 that Jordan recognized their importance.

"When, yielding to the wish of Evariste's friends, I gave myself up, as it were under the eyes of his brother, to the attentive study of all the printed or manuscript pieces he left behind, I therefore thought I had to propose as my sole aim to seek out, to unravel, to then bring out as best I could, what was new in these productions.

My zeal was soon rewarded, and I was delighted when, after filling in a few small gaps, I recognized the complete accuracy of the method by which Galois proves, in particular, this beautiful theorem: For an irreducible equation of prime degree to be solvable by radicals, it is necessary and sufficient that all the roots be rational functions of any two of them.
This method, truly worthy of the attention of geometers, would alone suffice to secure our compatriot a place among the small number of scientists who have earned the title of inventor." (Liouville p.382).

Photo AGNESI, Maria Gaetana. 

AGNESI, Maria Gaetana. 

Traités élémentaires de calcul différentiel et de calcul intégral. Traduits de l'italien de Mademoiselle Agnesi, avec des additions. 

Paris, Claude-Antoine Jombert, 1775.
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2000 €

First edition in french.
Agnesi is according to DSB : "the first woman in the Western world who can accurately be called a mathematician".
Rare treatise on algebra and analysis which met a great success.
It was considered as the clearest, the more methodical and the most comprehensive work on the subject.

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