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GROLLIER DE SERVIÈRE, Gaspard.
Recueil d'ouvrages curieux de mathématique et de mécanique, ou description du cabinet de Monsieur Grollier de Servière avec des figures en taille douce.
Lyon, David Forey, 1719.
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2200 €
First edition.
Among the mechanical inventions depicted in Grollier de Serviere's Cabinet are those for propelling ships, making elevations, various kinds of clocks, lamps, mechanical figures, mills, optical contrivances and geometrical instruments.
[POLYTECHNIQUE] CHAUVISE, Jules Thimotée.
Recueils d'Epures.
s.l., s.n., 1837-1839.
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650 €
Collection of drawings, by Jules Thimothé Chauvisé (X 1837 ; 1817-????).
The structure of these drawing as taught at the Ecole Polytechnique is often the same, with parts more or less developed, and drawings more or less elaborate according to the times and students.
We thus find drawings of curves, surfaces, perspectives, shadows, stone cut, architecture, machine and gears, topography and fortifications.
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.
CAUCHY, Augustin Louis.
Résumés analytiques.
Turin, Imprimerie royale, 1833.
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1500 €
First edition.
Publication of Cauchy while he was in exile in Turin, his opposition to the July Monarchy having in effect closed him access to teaching posts in France.
He summarizes here his courses in algebraic analysis.
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.
WRONSKI, Hoëné.
Sept manuscrits inédits, écrits de 1803 à 1806.
Paris, A dépot des ouvrages de l'auteur, 1879.
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550 €
First edition published after the death of Wronski.
LEBESGUE, Henri.
Sur la mesure des grandeurs.
Paris, Gauthier-Villars, 1956.
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50 €
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.
POINCARE, Henri.
Sur les Rapports de la physique expérimentale et de la physique mathématique.
Paris, Gauthier-Villars, 1900.
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600 €
First edition.
Offprint of this very interesting article on epistemology by Henri Poincaré in which he analyzes the relationship between the mathematical laws of physics and the data of experience: When should one be right in one and wrong in the other?
In this report which was presented to the International Congress of Physics in 1900, Poincaré discusses there in particular at the end of the text the Lorentz equations which make it possible to analyze certain physical facts but not all, which will be decided by Einstein a few years later with his special theory of relativity.
This debate is still an issue for modern physics about dark matter, should we change physical theories or improve our measurement capabilities?.
BIERENS DE HAAN, David.
Tables d'intégrales définies et Supplément aux tables d'intégrales définies qui forment le tome IV des mémoires de l'académie.
[Amsterdam], C. G. van der Post, 1858.
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450 €
First edition of these tables.
MARIE, Maximilien.
Théorie des fonctions de variables imaginaires.
Paris, Gauthier-Villars, [1874-1876].
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200 €
First edition.
Maximilien Marie (1819-1891), polytechnician (X 1838) then tutor and examiner at the Ecole Polytechnique.
TI: New analytical geometry
TII: Application of the method to the general theory of functions
TIII: History of this work.
The third volume is particularly unusual at this time, it engages in a scientific autobiography in which we can see the progress of his thought and the construction of his mathematical theory.
Autograph dedication of the author to Eugène Rolland (X 1830) the inventor of the roaster, on the title of volume I and the false title page of volume II.
we attach:
MARIE, New theory of functions of imaginary variables, Paris, Mallet-Bachelier, [v. 1862]
(4) -28 pages. in-8 paperback, cover split on the back.
Extract from the article on the functions of imaginary variables published in the "Journal of Pure and Applied Mathematics published by M. Liouville" which is a precursor to those published in the previous work.
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.
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.
BOREL, Emile || CHERON, André.
Théorie mathématique du Bridge à la portée de tous.
Paris, Gauthier-Villars, 1940.
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100 €
First edition.
Emile BOREL (1871-1956) French mathematician, professor at the Faculty of Sciences in Paris. He was a specialist in the theory of functions and probability. In 1922 he founded the Statistical Institute of the University of Paris and in 1928 the Henri-Poincaré Institute.
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.
JOURDANET, Jean-Pierre.
Traité d'Arithmétique destiné aux élèves de l'enseignement secondaire classique et moderne, de l'enseignement primaire supérieur, des écoles normales d'instituteurs.
Paris, A. Hermann, 1892.
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50 €
First edition.
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.
CHASLES, Michel.
Traité de géométrie supérieure.
Paris, Gauthier-Villars, 1880.
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Second edition.
Major book of the famous mathematician Chasles.
BULLET, Pierre.
Traité de l'usage du pantomètre, instrument géométrique, instrument géométrique propre à prendre toutes sortes d'angles, mesurer les distances accessibles et inaccessibles, arpenter et diviser toutes sortes de figures.
Paris, André Pralard, 1675.
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450 €
First edition.
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.
LAMY, Bernard.
Traité de la grandeur en général qui comprend l'arithmétique, l'algèbre, l'analyse et les principes de toutes les sciences qui ont la grandeur pour objet.
Paris, André Pralard, 1680.
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400 €
First edition.
A very complete copy of its plate.
SAINT-LOUP, Louis.
Traité de la résolution des équations numériques à l'usage des candidats aux écoles polytechnique et normale.
Paris, Maillet-Bachelier, 1861.
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90 €
First edition.
Louis Saint-Loup was the first director of the observatory of Besançon before being ousted in favor of Louis Gruey.;
Bound after: SAINT-LOUP & BACH, Traité des surfaces du second ordre et développements de géométrie analytique à trois dimensions,, Paris, Mallet-Bachelier, 1859 (missing the folding plate for this second treaty).
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.
MACLAURIN, Colin.
Traité des fluxions.
Paris, Charles-Antoine Jombert, 1749.
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3500 €
First french edition.
Mathematical defense of Newton's work against the Berkeley attacks, Maclaurin also proposes there a particular use of the Taylor theorem which is since called Taylor-Maclaurin formula and the first test of convergence of an infinite series.
PONCELET, Jean-Victor.
Traité des propriétés projectives des figures. Ouvrage utile à ceux qui s'occupent de la géométrie descriptive et d'opérations géométriques sur le terrain.
Paris, Gauthier-Villars, 1865-1966.
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600 €
Second enlarged edition of "the first book wholly devoted to projective geometry," (DSB).
CHASLES, Michel.
Traité des Sections Coniques, faisant suite au Traité de Géométrie Supérieure. Première Partie [all published].
Paris, Gauthier-Villars, 1865.
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First edition.
LACROIX, Sylvestre Francois.
Traité du calcul differentiel et du calcul integral.
Paris, J.B.M. Duprat, 1797-1798-1800.
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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".
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".
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.
MONGE, Gaspard.
Traité élémentaire de statique, à l'usage des écoles de la marine.
Paris, Bachelier, 1826.
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40 €
Sixth edition.
Great mathematician, Monge is considered the father of differential geometry. In 1792 he became minister of the marine. His works "Traité élémentaire de statique, à l'usage des écoles de la marine" show is interest in the concrete application of the theorical works.
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