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Mathematics

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Photo PICART, Alphonse. 

PICART, Alphonse. 

Introduction aux principes mathématiques des lois générales du monde physique.‎. 

Paris, Gauthier-Villars, 1882.
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45 €
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 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 PASCAL, Blaise. 

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Among the unpublished there are many "pensée", writings on Grace, the Treaty of vacuum and and extensive correspondence.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.".

Photo PASCAL, Blaise. 

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.".

Photo PAINVIN, Louis. 

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.

Photo OZANAM, Jacques. 

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.

Photo OZANAM, Jacques. 

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.

Photo OZANAM, Jacques. 

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".

Photo OZANAM, Jacques. 

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.

Photo OZANAM, Jacques. 

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.

Photo OZANAM, Jacques. 

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.

Photo OZANAM, Jacques. 

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.

Photo NEWTON, Isaac. 

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.

Photo NEWTON, Isaac. 

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.

Photo NEVANLINNA, Rolf. 

NEVANLINNA, Rolf. 

Le Theoreme de Picard-Borel et la Theorie des Fonctions Meromorphes. 

Paris, Gauthier-Villars, 1929.
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40 €

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.

Photo MONTUCLA, Jean Etienne. 

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.

Photo MONTEL, Paul. 

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.

Photo MONGE, Gaspard. 

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).

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 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 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 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 MILLIET DECHALES, Claude François. 

MILLIET DECHALES, Claude François. 

Cursus seu Mundus Mathematicus. 

Lyon, ex officina Anissoniana, 1674.
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3000 €

First edition of the most important work of Milliet Dechalles.
Complete Mathematics course, which also covers other topics sciences (mechanical, architecture, optics, perspective, astronomy, ..).
We usually meet the second edition published in 1690 in four volumes.
This first edition, complete in three volumes is quite rare.

Photo MERAY, Charles. 

MERAY, Charles. 

Nouveau précis d'analyse infinitésimale. 

Paris, Savy, 1872.
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300 €

First edition.

Photo MAUDUIT, Antoine. 

MAUDUIT, Antoine. 

Leçons de géométrie théorique et pratique. 

Paris, Didot et Bleuet, 1790.
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150 €

Mauduit's purpose stated in the preface was:
"to compose a work more especially dedicated to all those who are destined to the military or civil genius, and the architecture, which embraces all the arts which it directs and which it animates.".

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 [MATHEMATIQUES]. 

[MATHEMATIQUES]. 

Journal de l'Ecole Polytechnique publié par le conseil d'instruction. 

Paris, Gauthier et fils, 1893-1900.
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150 €

First editions. Years 1893,1894,1897,1898,1900 and 1901.

Photo [MATHEMATIQUES]. 

[MATHEMATIQUES]. 

Journal de Mathématiques élémentaires (27 volumes). 

Paris, Vuibert et Nony, 1887-1907.
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600 €

First editions.
Journal of mathematics gathering problems proposed by professors or annals of examinations and competitions (aggregation, general competition, baccalaureate, schools (naval type, Saint Cyr, mines of Saint Etienne, agriculture ...).
27 volumes of issues from 1887 to 1907.
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