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185
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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.
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.
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.
[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.
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.
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.
GINAC, Joseph Gaspard.
Recueil d'Arithmétique.
Marseille, s.n., 1747.
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750 €
Amusing arithmetic manuscript dotted with naive polychrome drawings.
The difficulty in learning mathematical operations in a non-decimal system (ounces, pounds ...) was to encourage Joseph Gaspard Ginac to distract himself with small drawings.
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.
OZANAM, Jacques.
Récréations Mathématiques et Physiques, qui contiennent plusieurs Problêmes d'Arithmétique, de Géometrie, d'Optique, de Gnomonique, de Cosmographie, de Méchanique, de Pyrotechnique, & de Physique. Avec un Traité nouveau des Horloges Elémentaires.
Paris, Jean Jombert, 1694.
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2000 €
Rare first edition and the first work on "Recreational Mathematics".
LEURECHON, Jean.
Récréation mathématicque composée de plusieurs problèmes plaisants et facétieux en faict d'Arithméticque, Géometrie, Méchanicque, Opticque, et autres parties de ces belles sciences.
Lyon, Claude Rigaud & Claude Obert, 1627.
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1450 €
The very rare first Lyons edition of this work on physics
récréation which was published for the first time at Pont-à-Mousson in 1624 and reprinted several times.
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).
DE LA GOURNERIE, Jules.
Recherches sur les surfaces réglées tétraédrales symétriques.
Paris, Gauthier-Villars, 1867.
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300 €
First edition
With notes by Arthur Cayley.
Jules de la Gournerie (1814-1883) engineer of bridges and roads and mathematician, was professor at the Ecole Polytechnique then at the conservatory of arts and trades where he will hold the chair of descriptive geometry.
COURNOT, Augustin.
Recherches sur les principes mathématiques de la théorie des richesses.
Paris, L. Hachette, 1838.
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12500 €
First edition.
Landmark in economic theory.
Cournot is considered a pioneer in mathematical economics. He was among the first to formalize economic theories using mathematical equations.
He proposed basing economic theory not on elementary algebra but on the branch of analysis dealing with arbitrary functions, subject to certain conditions.
His work focused on a theory of price equilibrium in a free market.
Though largely ignored in his time, his research on equilibria between two producers, now known as "Cournot equilibria," would later be generalized under the term "Nash equilibria" or "Nash-Cournot equilibria," earning John Forbes Nash the Nobel Prize in Economics in 1994.
Cournot's work is bound after the following:
URBAIN, Introduction to the Study of Political Economy, Paris, Bossange Père, 1833.
REID, Thomas.
Recherches sur l'entendement humain, d'après les principes du sens commun.
Amsterdam, Jean Meyer, 1768.
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400 €
Rare first french edition.
Thomas Reid is a Scottish philosopher.
In this book define his philosphy based on the realism of the five senses and thus opposes the system of ideas, born with the philosophy of Descartes.
Chapter on view gives rise to lengthy arguments on the lens. In Section IX, Reid defined a non-Euclidean geometry.
CHASLES, Michel.
Rapport sur les progrès de la Géométrie.
Paris, Imprimerie nationale, 1870.
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Sold
First edition
Report commissioned by the Ministry of Public Education to the famous mathematician Michel Chasles (1793-1880).
He delivers a very interesting history of geometry in the nineteenth century by reviewing the main advances and their authors.
DESBOVES, Adolphe.
Questions de trigonométrie rectiligne : méthodes et solutions avec plus de 500 exercices proposés.
Paris, Ch. Delagrave, 1877.
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30 €
First edition
The autor was professor at Lycée Condorcet.
GAULTIER DE BIAUZAT, Jean François.
Projet motivé d'articles additionnels à la loi, du 19 janvier 1791. Relative à l'organisation des Ponts & Chaussées.
Paris, Imprimerie nationale, 1791.
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120 €
First edition.
Proposed amendments to the law of January 19, 1791, which created the Corps of Ponts et Chaussées.
[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.
MANNHEIM, Amédée.
Principes et développements de Géométrie cinématique.
Paris, Gauthier-Villars et fils, 1894.
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130 €
First edition.
Amédée Mannheim (1831-1906), professor at the Ecole Polytechnique is notably the inventor of the slide rule in its modern form.
BLUMENTHAL, Otto.
Principes De La Theorie Des Fonctions Entieres D'ordre Infini.
Paris, Gauthier-Villars, 1910.
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30 €
First edition.
Otto Blumenthal (1876-1944) is a German mathematician, He wrote several articles on applied mathematics. His contributions on spherical functions find applications in telecommunications, for example.
PAINVIN, Louis.
Principes de la Géométrie Analytique.
Douai, Alf. Robaut, 1866-1870.
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500 €
First edition
Complete two volumes: Plane Geometry (1866) and Geometry of Space (in two parts joined: 1869 and 1870).
Louis Félix Painvin (1826-1875), an associate professor of mathematics, practiced at the Lycée de Douai, a city where he had these principles of analytic geometry printed.
Fine paper printing is like a handwritten course, which makes it easy to insert figures and equations into the text.
In 1872, Painvin replaced Darboux at Lycée Louis Le Grand.
Works whose circulation was probably limited and found very rarely.
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.
DUPORCQ, Ernest.
Premiers principes de géométrie moderne à l'usage des élèves de mathématiques spéciales et des candidats à la licence et à l'aggrégation.
Paris, Gauthier-Villars, 1912.
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30 €
Second edition augmented by Raoul Bricard.
VIETE, François.
Opera mathematica in unum volumen congesta ac recognita, opera atque studio Francisci a Schooten.
Leyde, ex officina Bonaventura Abraham Elzeviriorum, 1646.
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9500 €
First collective edition of the works of François Viète.
François Viète, a 16th-century French mathematician born in Fontenay-le-Comte in 1540 and died in Paris in 1603, is often hailed as the father of modern algebra.
Indeed, Viète was one of the first mathematicians in Europe to note the parameters of an equation using symbols. His innovative approach and contribution to algebraic notation was particularly influential and opened new ways for solving mathematical problems. In recognition of his contributions, Viète is widely considered one of the greatest mathematicians of his time and his legacy endures in the field of modern mathematics to this day.
This first collective edition features sixteen of Viète's works, including his seminal 'Isagoge in artem analyticam', which introduced his innovative algebraic notation.
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).
PASCAL, Blaise.
Oeuvres de Blaise Pascal.
La Haye [Paris], Detune, 1779.
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2500 €
The first and sole ancient collective edition, partially original.
Published by Bossut, this edition is illustrated with a portrait and 14 plates.
Among the unpublished there are many "pensée", writings on Grace, the Treaty of vacuum and and extensive correspondence.
Volumes IV and V contain the scientific works.
We found the second printing of the describing of invention of the computing machine of Descartes (TIV, pages 7-30). The first edition, certainly printed by the author, is unobtainable (only two copies known).
Also of interest here is the reprint of Pascal's 1654 paper introducing his triangle of binominal coefficients (Pascal's Triangle), included in Volume V, pages 1-54. Pascal's invention "predated the concepts of computation of the values of polynomial functions by differences.".
PASCAL, Blaise.
Oeuvres de Blaise Pascal.
La Haye [Paris], Detune, 1779.
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1500 €
First and only old collective edition,
Published by Bossut, this edition is illustrated with a portrait and 14 plates.
Among the unpublished there are many "pensée", writings on Grace, the Treaty of vacuum and and extensive correspondence.
Volumes IV and V contain the scientific works.
We found the second printing of the describing of invention of the computing machine of Descartes (TIV, pages 7-30). The first edition, certainly printed by the author, is unobtainable (only two copies known).
Also of interest here is the reprint of Pascal's 1654 paper introducing his triangle of binominal coefficients (Pascal's Triangle), included in Volume V, pages 1-54. Pascal's invention "predated the concepts of computation of the values of polynomial functions by differences.".
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.
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.
TAYLOR, Brook|| MURDOCH, Patrick.
Nouveaux principes de la perspective linéaire [...] avec un essai sur le mélange des couleurs par NEWTON.
Lyon, Bruyset, 1759.
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600 €
Second edition in french given by the Jesuit Antoine Rivoire of two treatises on perspective.
Taylor's book is considered in its day to be one of the best books on perspective.
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