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Mathematics
Results (121 - 150) of
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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).
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).
DORMOY, Emile.
Théorie Mathématique des assurances sur la vie.
Paris, Gauthier-Villars, 1878.
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450 €
First edition.
Emile Dormoy, a Polytechnique and mining engineer, will manage the Soleil-Vie insurance company.
He leaves us this important treatise on mathematics for the use of actuaries in which he notably devotes a chapter to the Theory of deviations.
He describes there before Wilhelm Lexis what will be known as the "Lexis Ratio".
The law of deviations subsequently developed by Bachelier will be one of the bases of financial mathematics.
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.
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.
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.
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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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.
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.
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.
DARBOUX, Gaston.
Leçons sur les systèmes orthogonaux et les coordonnées curvilignes.
Paris, Gauthier-Villars, 1910.
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60 €
Second edition.
Gaston Darboux (1842-1917) is a French mathematician, he succeeds in 1878 to Chasles at the chair of geometry superior of the faculty of sciences of Paris.
DARBOUX, Gaston.
Leçons sur la théorie générale des surfaces et les applications géométriques du calcul infinitésimal.
Paris, Gauthier-Villars, 1887-1896.
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350 €
First edition.
Book compiling the lessons given at the Sorbonne by Gaston Darboux.
DARBOUX, Gaston.
De l'Emploi des fonctions elliptiques dans la théorie du quadrilatère plan.
Paris, Gauthier-Villars, 1879.
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250 €
Offprint from the Bulletin of Mathematical Sciences, 2nd series, TIII, 1879
Gaston Darboux (1842-1917) is a French mathematician, he succeeds in 1878 to Chasles at the chair of geometry superior of the faculty of sciences of Paris.
D'OCAGNE, Maurice.
Cours de géométrie pure et appliquée de l'école polytechnique.
Paris, Gauthier-Villars, 1917-1918.
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120 €
First edition.
Presentation copy to Henri Brocard.
Henri Brocard (1845-1922), polytechnician and officer, engineering commander, he is best known for his work on the modern geometry of the triangle with Émile Lemoine and Joseph Neuberg in the 1870s-1880s. We owe him the construction of Brocard's point, circle, line and angle which have particular properties.
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.
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.
COUSIN, Jacques-Antoine-Joseph.
Leçons de Calcul différentiel et de calcul intégral.
Paris, Jombert, 1777.
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200 €
First edition.
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.
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.
[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.
CLAVIUS, Christoph.
Epitome arithmeticae practica.
Roma, Dominici Basae, 1583.
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1800 €
First edition of this work which is known to have influenced Descartes and Leibniz.
CLAIRAUT, Alexis.
Élémens de Géométrie.
Paris, Lambert & Durand, 1741.
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500 €
First edition.
Title page at Lambert & Durand, we find the title page more frequently at David fils. Bibliographers agree that this is the same edition.
The three last blank pages with old manuscript notes.
Clairaut's work enjoyed considerable success in France and Europe.
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.
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).
CHASLES, Michel.
Traité de géométrie supérieure.
Paris, Gauthier-Villars, 1880.
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Sold
Second edition.
Major book of the famous mathematician Chasles.
CHASLES, Michel.
Traité des Sections Coniques, faisant suite au Traité de Géométrie Supérieure. Première Partie [all published].
Paris, Gauthier-Villars, 1865.
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Sold
First edition.
CHASLES, Michel.
Aperçu historique de l'origine et le développement des méthodes en géométrie particulièrement de celles qui se rapportent à la géométrie moderne.
Paris, Gauthier-Villars et fils, 1889.
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Third edition
First book of the mathematician Chasles (1793-1880) published in original edition in 1837. This third edition is a reissue "compliant with the first" published posthumously.
CHASLES, Michel.
Rapport sur les progrès de la Géométrie.
Paris, Imprimerie nationale, 1870.
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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.
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 Nicholas Marguerite.
De la corrélation des figures de géométrie.
Paris, Duprat, An IX = 1801.
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300 €
First edition.
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