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Mathematics

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Photo GAUTHIER, Mr. 

GAUTHIER, Mr. 

Collections mathématiques. 

s.l., s.n., 1806-1807.
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1500 €

Fine copy.

Photo BUDAN, Ferdinand. 

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.

Photo DUPIN, Charles. 

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).

Photo DULONG, Pierre || PETIT, Alexis. 

DULONG, Pierre || PETIT, Alexis. 

Recherches sur quelques points importans de la théorie de la chaleur (publiés dans Annales de Chimie et de physique - Tome X). 

Paris, Crochard, 1819.
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650 €

First edition.
Research of prime importance in which the authors experimentally measure the specific heats of many compounds which will allow them to deduce what will become the law of Dulong and Petit which links molar mass and heat capacity and the constant of ideal gases.

In the same volume another important scientific publication: Fresnel, Memoir on the action that polarized rays of light exert on each other. Major Fresnel work.
And a Fourier paper on insurances.
There are also articles by Breguet (precision of a tourbillon chronometer and astronomical measuring tool, the plate illustrating this invention is missing), Pelletier (discovery of strychnine).

Photo MANUSCRIT de Mathématiques, CREUZE. 

MANUSCRIT de Mathématiques, CREUZE. 

Cahier d'Arithmétique, fait par C. Creuzé. 

Tours, s.n., 1820.
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250 €

French manuscript on arithmetics.

Photo DUPIN, Charles. 

DUPIN, Charles. 

Applications de géométrie et de méchanique, à la Marine, aux Ponts et Chaussées, etc. Pour faire suite aux développements de Géométrie. 

Paris, Bachelier, 1822.
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300 €

First edition.
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).
It's in this work that Dupin use for the first time the word "Cyclid" and give the demonstration of their existance and their main properties.

Photo MONGE, Gaspard. 

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.

Photo MÖBIUS, August Ferdinand. 

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.

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 LACROIX, Sylvestre François. 

LACROIX, Sylvestre François. 

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

Paris, Bachelier, 1828.
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75 €

Third edition.

Photo BIOT, Jean-Baptiste. 

BIOT, Jean-Baptiste. 

Notions élémentaires de statique destinées aux jeunes gens qui se préparent pour l'École Polytechnique. 

Paris, Bachelier, 1829.
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50 €

Jean-Baptiste Biot (1774-1862) was a French physicist, astronomer and mathematician, pioneer in the use of polarized light to study solutions.

Photo LEROY, Charles-François-Antoine. 

LEROY, Charles-François-Antoine. 

Analyse appliquée à la Géométrie des trois dimensions comprenant les surfaces du second degré, avec la théorie général des surfaces courbes et des lignes à double courbure. 

Bachelier, Paris, 1829.
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150 €

First edition.
Charles-François-Antoine Leroy (1780-1854) was professor of geometry at the École polytechnique.

Photo [ECOLE POLYTECHNIQUE]. 

[ECOLE POLYTECHNIQUE]. 

Programmes de l'enseignement de l'Ecole Royale Polytechnique. 

Paris, Imprimerie royale, 1833.
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80 €

First edition.
Teaching program for the 1833-1834 school year at the Ecole Polytechnique decided by the improvement council and approved by the Minister of War on whom the School depended.

Photo CAUCHY, Augustin Louis. 

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.

Photo MANUSCRIT. 

MANUSCRIT. 

94 planches. 

s.l., s.n., 1834-1835.
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350 €

Collection of mathematical and architectural drawing of a student (Frenet), in the style of the drawings taught at the Ecole Polytechnique, with a first set of plates for the curved part, surfaces, perspectives, shadows (78 boards) and 16 plates on architecture.

Photo CORIOLIS, Gustave Gaspard. 

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.

Photo [POLYTECHNIQUE] CHAUVISE, Jules Thimotée. 

[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.

Photo CHOPART, Louis Narcisse. 

CHOPART, Louis Narcisse. 

Essais sur les évolutions navales suivis de quelques tables. 

Paris, Imprimerie royale, 1839.
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600 €

First edition.
Chopart will be Vice-Admiral of the French Navy, he will participate in particular in the Algiers expedition in 1830. His book is in line with the tactics of the 18th century sailing navy, but as a former student from polytechnique he constantly uses geometric tools to demonstrate his movements. Beautiful printing on quality paper for this naval tactics book.

Photo FRANCOEUR, Louis Benjamin. 

FRANCOEUR, Louis Benjamin. 

Géodésie ou traité de la figure de la Terre et de ses parties. 

Paris, Bachelier, 1840.
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120 €

Second edition.
Lessons given at the Faculty of Sciences of Paris including topography, surveying, leveling, terrestrial and astronomical geomorphy, construction of maps, navigation.

Photo MOIGNO , Francois Napoleon Marie. 

MOIGNO , Francois Napoleon Marie. 

Leçons de calcul différentiel et de calcul intégral, rédigées d'après les méthodes et les ouvrages publiés ou inédits de A.L. Cauchy. 

Paris, Bachelier, 1840-1844.
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Rare first edition, of one of the most complete treatise on differential and integral calculus of the middle of nineteenth century.

Photo [MATHEMATIQUES]. 

[MATHEMATIQUES]. 

Journal de l'Ecole Royale Polytechnique. 

Paris, Bachelier, 1843-1845.
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100 €

First edition.
Years 1843 and 1834 of publication of the Journal of the Royal Polytechnic School. There are scientific articles by professors from the School of the day:.

Photo JACOBI, Carl Gustav Jacob. 

JACOBI, Carl Gustav Jacob. 

Mémoire sur l'élimination des noeuds dans le problème des trois corps. 

Paris, Bachelier, 1844.
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350 €

First off-print publication of Jacobi's article on his approach to the three-body problem.

Jacobi's article is binded following two other memoirs on celestial mechanics, extracted from the Journal de Liouville:
CISA DE GRESY, Memoir on the problem of the disturbance of the planets, Bachelor, [1828]
LE DOULCET DE PONTECOULANT, Memoir on the part of the coefficients of the great inequalities of Jupiter and Saturn which depend on the square of the pertubating forces, Paris, Bachelier, [1829].

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 [ECOLE POLYTECHNIQUE] BARDONNAUT, Ernest. 

[ECOLE POLYTECHNIQUE] BARDONNAUT, Ernest. 

Epures de Géométrie descriptive. 

s.l., s.n., [v. 1847].
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200 €

Collection of drawings, by Marie Henri Ernest Bardonnaut (X 1847).

Photo FRENET, Frédéric. 

FRENET, Frédéric. 

Recueil d'exercices sur le calcul infinitésimal : Ouvrage destiné aux candidats à l'école polytechnique et à l'école normale, aux élèves de ces écoles, et aux personnes qui se préparent à la licence ès sciences mathématiques. 

Paris, Mallet-Bachelier, 1856.
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95 €

Rare first edition.

Photo LAME, Gabriel. 

LAME, Gabriel. 

Leçons sur les fonctions inverses des transcendantes et les surfaces isothermes. 

Paris, MALLET-BACHELIER, 1857.
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100 €

First edition
Gabriel Lamé (1795-1870) was a French mathematician and engineer known for his significant contributions to mathematics and mechanics. He made important contributions in several areas of mathematics and physics, including elasticity theory, number theory, and complex analysis.

Photo BIERENS DE HAAN, David. 

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.

Photo SAINT-LOUP, Louis. 

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).

Photo MOIGNO, F. 

MOIGNO, F. 

Leçons de calcul différentiel et de calcul intégral, rédigées d'après les méthodes et les ouvrages publiés ou inédits de A.-L. Cauchy. Tome quatrième. Premier fascicule. Calcul des variations, rédigé en collaboration avec M. Lindelöf. 

Paris, Mallet-Bachelier, 1861.
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Rare first edition.
Presentation copy.

Photo BERTRAND, Joseph. 

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.

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