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Mathematics
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201
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PRESTET, Jean.
Nouveaux élémens de Mathématiques ou principes généraux de toutes les sciences.
Paris, André Pralard, 1694.
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400 €
Third edition.
Mathematician and Oratorian priest, Jean Prestet (1648-1690) remains famous for his Elements of Mathematics in which he notably delivers precursory works on the fundamental theorem of arithmetic.
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, 1865-1866.
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600 €
Second enlarged edition of "the first book wholly devoted to projective geometry," (DSB).
[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.
[POLYTECHNIQUE].
Programmes de l'enseignement polytechnique de l'Ecole centrale des travaux publics.
Paris, Imprimerie nationale, Pluviose An III ( janvier 1795).
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500 €
First edition.
First use of the adjective "Polytechnique" which will be used a few months later to give its new name to the "Ecole centrale des travaux publics" which will become the "École polytechnique".
Here are the detailed programs of the courses that will be taught during the creation of the School.
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).
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?.
PICQUET, Louis Henry.
Etude géométrique des systèmes ponctuels et tangentiels de sections coniques.
Paris, Gauthier-Villars, 1872.
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150 €
First edition
Louis Henry Picquet (1845-1864) was a professor and examiner at the École Polytechnique.
PICART, Alphonse.
Introduction aux principes mathématiques des lois générales du monde physique..
Paris, Gauthier-Villars, 1882.
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45 €
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.
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.
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.
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.".
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.".
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.
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".
OZANAM, Jacques.
Méthode de lever les Plans et les Cartes de terre et de mer avec toutes sortes d'instrumens, et sans instrumens.
Paris, Michallet, 1693.
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650 €
Rare first edition.
In addition to detailing the geometric methods of surveying, Ozanam describes the composition and use of the material specific to the surveyors of the time: copper plank, compass, Huygens level.
OZANAM, Jacques.
Méthode générale pour tracer des cadrans de toute sorte de plans.
Paris, Estienne Michallet, 1685.
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250 €
Second edition.
A self-taught mathematician, Jacques Ozanam was above all a popularizer of mathematics. In his works, he disseminated practical applications of this science, whether for the division of land, the calculation of inheritances or, as here, the drawing of sundials.
OZANAM, Jacques.
Cours de Mathématiques qui comprend toutes les parties de cette Science les plus utiles & les plus nécessaires à un homme de Guerre, & à tous ceux qui se veulent perfectionner dans les Mathématiques.
Paris, Jean Jombert, 1693.
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1150 €
First edition.
Full course of 5 volumes and impressive iconographic support in 204 plates.
Beyond purely mathematical treatises on geometry, arithmetic and trigonometry we find a treatise on gnonomics, a treatise on fortification, the sine and logarithm tables.
OZANAM, Jacques.
Dictionnaire Mathématique, ou idée Générale des Mathématiques.
Dans lequel sont contenus les termes de cette science, outre plusieurs termes des Arts & des autres sciences, avec des raisonnemens qui conduisent peu à peu l'esprit à une connoissance universelle des Mathématiques.
Amsterdam, Huguetan, 1691.
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400 €
A reprint of the first edition, published the same year by Michallet in Paris.
The dictionnary is divided into sections dealing with subjects such as arithmetic, algebra, geometry, cosmography, astronomy, navigation, optics, perspective, mechanics, hydrostatics, architecture, fortification and music.
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.
Dictionnaire mathématique, ou idée générale des mathématiques. Dans lequel l'on trouve, outre les termes de cette science, plusieurs termes des arts des autres sciences ; avec des raisonnemens qui conduisent peu à peu l'esprit à une connoissance universelle des Mathématiques.
Paris, Estienne Michallet, 1691.
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500 €
First edition with resale label of Claude Jombert on title page.
The dictionnary is divided into sections dealing with subjects such as arithmetic, algebra, geometry, cosmography, astronomy, navigation, optics, perspective, mechanics, hydrostatics, architecture, fortification and music.
NICERON, Jean-François.
La Perspective curieuse ou magie artificielle des effets merveilleux de : L’optique par la vision directe, la catoptrique, par la réflexion des miroirs plats, cylindriques & coniques, la dioptrique, par la réfraction des crystaux.
Paris, Pierre Billaine, 1638.
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2500 €
First edition.
This work is a treatise on optical illusions and anamorphic perspectives, written by Nicéron, a monk of the order of Minims and mathematician of the 17th century. In it, he explores the principles of geometry applied to perspective, in particular the deformations of images that are only correctly revealed from a certain angle or through a mirror.
La Perspective Curieuse is a major work in the history of visual perception and art, influencing both artists and scientists of its time.
The discussion in the fourth part is particularly famous for being the first reference to the law of refraction developed by Descartes that same year.
A title-frontispiece engraved by Daret.
NEWTON, Isaac.
La Méthode des fluxions et des suites infinies.
Paris, De Bure l'ainé, 1740.
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2000 €
First french edition.
Buffon's translation of Method of Fluxions and Infinite Series published a few years earlier. It is one of the last treatises on which Newton worked to explain the method of calculation used in his Principia. The fluxion method is the Newtonian solution of differential calculus problems. It is the counterpart of the method of infinitely small developed by Leibniz.
The fluxion method places Newton among the fathers of infinitesimal calculus.
NEWTON, Isaac.
La Méthode des fluxions et des suites infinies.
Paris, De Bure l'ainé, 1740.
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2500 €
First french edition.
Buffon's translation of Method of Fluxions and Infinite Series published a few years earlier. It is one of the last treatises on which Newton worked to explain the method of calculation used in his Principia. The fluxion method is the Newtonian solution of differential calculus problems. It is the counterpart of the method of infinitely small developed by Leibniz.
The fluxion method places Newton among the fathers of infinitesimal calculus.
NEVANLINNA, Rolf.
Le Theoreme de Picard-Borel et la Theorie des Fonctions Meromorphes.
Paris, Gauthier-Villars, 1929.
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First edition.
The Picard-Borel theorem refers to a set of theorems in complex analysis that relate to the question of the reach of analytic functions. Simply put, the Picard-Borel theorem states that every non-constant entire function takes on almost every complex value. The theorem was independently proved by Émile Picard and Émile Borel in the early 20th century.
MONTUCLA, Jean Etienne.
Histoire des Mathématiques, dans laquelle on rend compte de leur progrès depuis leur origine jusqu'à nos jours; où l'on expose le tableau et le développement des principales découvertes dans toutes les parties des Mathématiques, les contestations qui se sont élevées entre les Mathématiciens, et les principaux traits de la vie des plus célèbres.
Paris, Henri Agasse, 1799-1802.
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1500 €
Most complete edition in 4 volumes.
The first edition was published in 2 volumes, Montucla was to complete it with a third but died before its publication. It is Jérôme De La Lande who will finally publish the last two volumes according to Montucla's notes.
A reference on the history of mathematics.
MONTEL, Paul.
Leçons sur les séries de polynomes à une variable complexe.
Paris, Gauthier-Villars, 1910.
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30 €
First edition.
Paul Montel (1876-1975), French mathematician, His work focuses on the theory of complex analytic functions.
MONGE, Gaspard.
Géométrie descriptive. Leçons données aux écoles normales, l'An 3 de la république.
Paris, Baudouin, An VII [1799].
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950 €
First edition, first issue with the errata at the verso of page vii.
"Monge is regarded as the creator of descriptive geometry, for 'it ws he who elegantly and methodically converted the group of graphical procedures used by practionners into a general uniform technique based on simple an rigorous reasoning and methods ...Monge's systematic use of cylindrical projection and, more discreetly, that of central projection, opened the way to the parallel creation of projective and modern geometry' (DSB). It was primarily through Monge's teachings, both at the ephemeral École de l'an III and the École Polytechnique, that descriptive geometry, analytical geometry and differential geometry were established as special fields".(Norman).
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.
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.
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