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Mathematics
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LINDELOF, Ernst.
Le Calcul des résidus et ses applications à la théorie des fonctions.
Paris, Gauthier-Villars, 1905.
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30 €
First edition.
Ernst Leonard Lindelöf (1870–1946) was a Swedish-speaking Finnish mathematician who worked primarily in complex analysis and the theory of differential equations.
BESSON, François.
La Pratique de Géometrie.
Paris, Jean Moreau, 1626.
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500 €
First edition.
The work is divided into three books:
- Macrometry or the science of measuring straight lines.
- Holometry or the measurement of plane surfaces.
- Stereotomy or the measurement of solid bodies.
As well as Books IV and XIII of Euclid in an unpublished French translation for which Besson provides new applications.
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.
DEIDIER, (Abbé).
La Mesure des surfaces et des solides, par l'arithmétique des infinis et les centres de gravité.
Paris, Charles-Antoine Jombert, 1740.
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750 €
First edition.
Work which is inspired by Wallis' method of measuring surfaces by the arithmetic of infinities which has the advantage according to Deidier of using simple algebra. Deidier found the algebra of integral calculus too abstract. Deidier's works ensured him a distinguished place among the mathematicians of his time.
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BEDOS DE CELLES, François.
La Gnomonique pratique, ou lart de tracer avec la plus grande précision les cadrans solaires par les méthodes qui y sont propres, et le plus soigneusement choisies en faveur principalement de ceux qui sont peu ou point versés dans les Mathématiques.
Paris, Firmin Didot, 1790.
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500 €
Fourth edition.
[CLERMONT, Sieur de].
La Géométrie pratique de l'ingénieur, ou l'art de mesurer [...] dédié à Monsieur de Vauban.
Strasbourg, Fr. G. Schmuck, 1693.
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550 €
First edition.
"Clermont" wrote on the title page, like other copies of these edition.
Clermont, artilleryman and military engineer, dedicated his geometry book to Vauban. We understand this dedication on reading the eighth part of the book, which is entirely dedicated to the construction of fortresses. Vauban then supervised in France the construction of dozens of fortifications with clearly recognizable models.
Clermont explains to us the geometry allowing us to trace the famous Vauban fortresses.
CROUSAZ, Jean-Pierre de.
La Géométrie des Lignes et des Surfaces Rectilignes et Circulaires.
Amsterdam, Veuve de Paul Marret, 1718.
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200 €
Rare first edition of the work on geometry.
Crousaz was professor of philosophy and mathematics at the Académie of Lausanne from 1700 until 1724,and he was nominated to the Académie des Sciences in 1725.
As the second part bound in our first volume is incomplete of on plate and all preliminary leaves, we joint the second part, complete, in an other volumes we had in our stock.
LE BLOND, Guillaume.
L'Arithmétique et la géométrie de l'officier, contenant la théorie et la pratique de ces deux sciences, appliquées aux différens emplois de l'homme de guerre.
Paris, C.-A. Jombert, 1748.
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350 €
First edition.
Guillaume Le Blond (1704-1781), was professor of mathematics for the pages of the great stable of the king, then of the Children of France.
Book devoted to the use of mathematics in the army, the set is complete of the Essay on castrametation published as a follow-up to the Arithmetic and the geometry of the officer.
LEFSCHETZ, Solomon.
L'Analysis situs et la géométrie algébrique.
Paris, Gauthier-Villars, 1950.
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Second edition.
Solomon Lefschetz (1884-1972) was an American mathematician best known for his work in algebraic topology, algebraic geometry, and the theory of nonlinear differential equations.
[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.
NO SHIPPING OUTSIDE FRANCE.
[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:.
[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.
DEAUX, Roland.
Introduction to the geometry of complex numbers.
New York, Frederick Ungar, 1956.
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30 €
Translated by Howard Eves
Handwritten ex dono by the author to Colonel Monseau, he adds in addition to the pen on the front page a dedication to his deceased wife.
PICART, Alphonse.
Introduction aux principes mathématiques des lois générales du monde physique..
Paris, Gauthier-Villars, 1882.
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45 €
EULER, Léonard.
Introduction à l’analyse infinitésimale.
Paris, Barrois, An IV (1796) - an V (1797).
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1200 €
First french edition (The original edition is in Latin) of this fundamental work in which Euler discusses the general study of functions and highlights for the first time the connections between exponential and circular functions.
It introduces common abbreviations for trigonometric functions, and shows the relation cos θ + i sin θ = e (iθ).
MAILLET, Edmond.
Introduction à la Théorie des Nombres Transcendants et des propriétés arithmétiques des fonctions.
Paris, Gauthier-Villars, 1906.
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300 €
First edition.
Edmond Théodore Maillet (1865-1938) is one of the rare French mathematicians of the 19th century working in algebraic number theory.
DENJOY, Arnaud.
Introduction à la théorie des fonctions de variables réelles.
Paris, Hermann et Cie, 1937.
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30 €
First edition.
Arnaud Denjoy (1884-1974), French mathematician influenced by his teacher, Émile Borel, he devoted himself above all to the theory of functions of the real variable. In 1942, he was elected a member of the Academy of Sciences, of which he was president in 1962.
DOETSCH, Gustav || HERSCHEL, Rudolf.
Introduction à l'utilisation pratique de la transformation de Laplace.
Paris, Gauthier-Villars, 1959.
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100 €
First edition in french.
Gustav Doetsch (1892 – 1977) was a German mathematician, aviation researcher. He dedicated most of his research and scientific activity to the Laplace transform, and his books on the subject became standard texts throughout the world, translated into several languages. His texts were the first to apply the Laplace transform to engineering.
CRAMER, Gabriel.
Introduction à l'analyse des lignes courbes algébriques.
Genève, Frères Cramer & Philibert, 1750.
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800 €
First edition.
The only publication by the Genevan mathematician Gabriel Cramer (1704-1752), it includes the method known today as Cramer's rule for the resolution of linear systems of equations, using what will later be called determinants.
BIELFELD, Jacques-Frédéric (Baron de).
Institutions politiques.
La Haye, Pierre Gosse, 1760.
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450 €
First edition.
Baron Bielfeld was an advisor to Frederick II of Prussia, his work consists mainly of reflections on national governance.
His work had a significant impact on both political science and statistics. He would be the first to introduce the word "statistics" to replace the term political arithmetic.
LA CHAPELLE, Abbé Jean-Baptiste de.
Institutions de géométrie.
Paris, Debure l'aîné, 1746.
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400 €
First edition.
CHELINI, Dominico.
In Memorium Dominico Chelini. Collectanea Mathematica. Nunc Primum Edita cura et studio L.Cremona et E.Beltrami.
Naples, Ulrici Hoepli, 1881.
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350 €
First edition,
Copy of the mathematician Amédée Mannheim (binding with his name gilt on the back).
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.
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).
SERRET, Paul.
Géométrie de direction.
Paris, Gauthier-Villars, 1869.
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75 €
First edition
Paul Serret (1827-1898) professeur de mathématiques français.
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.
RESAL, Henry Aimé.
Exposition de la théorie des surfaces.
Paris, Gauthier-Villars, 1891.
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60 €
First edition.
Henry Résal (1828-1896), was professor of mechanics at the École polytechnique.
DUPUY, Léon.
Exposé de la méthode de Hansen pour le calcul des perturbations spéciales des petites planètes.
[Paris], [Baillière], [1874].
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150 €
First edition.
Article published in the Memoirs of the Physical and Natural Sciences Society of Bordeaux.TX on this fundamental problem of celestial mechanics which preoccupied mathematicians and astronomers at the end of the 19th century. Discussion on Hansen's method which is a perturbation theory approach to the three-body problem.
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