Mathematics

Results (121 - 150) of 201

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.

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).

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.

FRECHET, Maurice.

Les Espaces abstraits et leur théorie considérée comme introduction à l'analyse générale.

Paris, Gauthier-Villars, 1928.

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35 €

First edition.
Maurice Fréchet (1878-1973), is a French mathematician. A prolific mathematician, he worked, among other things, in topology, probability theory and statistics. In 1906, he introduced metric spaces and identified the first notions of topology by seeking to formalize in abstract terms the work of Volterra, Arzelà, Hadamard and Cantor. It introduces the notions of filter, uniform convergence, compact convergence and equicontinuity.

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.

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.

FONTES, Joseph.

Archéologie Mathématique : Réunion de 6 plaquettes.

Toulouse, s.n., [v. 1897].

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150 €

First editions.
Meeting of 6 brochures on the subject of Mathematical Archaeology, taken separately from science history journals:.

FONTAINE Des BERTINS, Alexis.

Mémoires donnés à l'académie royale des sciences non imprimés dans leur temps, par M.Fontaine, de cette académie.

Paris, Imprimerie Royale, 1764.

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750 €

First edition.
Twelve memories, dealing essentially with infinitesimal geometry, integral calculus, mechanics, and astronomy.

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).

EULER, Léonard.

Elémens d'Algèbre.

Lyon, Bruyset, An III [1795].

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450 €

Important book from the famous Euler.
The first edition treats of determinate algebra. This contains one of the earliest attempts to place the fondamental processes on a scientific basis. This work also include the proof of the binomial theorem for an unrestricted index.
The second volume treats of indeterminate or Diophantine algebra. This contains the solution of some of the problems proposed by Fermat, (Sotheran).
"Second French edition; the substantial additions by Lagrange occur for the first time" (Honeyman).

EULER, Léonard.

Lettres à une princesse d'Allemagne.

Mitau, Leipzig, Hinz, 1774.

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400 €

These letters are a brilliant example of scientific popularization.
Written by the great mathematician from Basel, Euler (1707–1783), they enjoyed widespread popular success from their first publication and were translated into many languages.
Here, Euler addresses a wide range of topics beyond pure mathematics, including astronomy, mechanics, optics, music, philosophy, and logic.

EUCLIDE || HENRION, Denis.

Les quinze livres des élémens d'Euclide.

Rouen, Isaac Clément Malassis, 1649.

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550 €

Fifth edition of the French translation of Euclid's Elements by Denis Henrion.

This book is one of the first translations into French of the works of the ancient mathematician Euclid. Denis Henrion was a French mathematician of the first half of the seventeenth century, which allowed the spread of Euclidean geometry in France.

[ECOLE POLYTECHNIQUE] BARDONNAUT, Ernest.

Epures de Géométrie descriptive.

s.l., s.n., [v. 1847].

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200 €

Collection of drawings, by Marie Henri Ernest Bardonnaut (X 1847).

[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.

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.

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.

DUPIN, Charles.

Applications de géométrie et de méchanique, à la Marine, aux Ponts et Chaussées, etc. Pour faire suite aux développements de Géométrie.

Paris, Bachelier, 1822.

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300 €

First edition.
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).
It's in this work that Dupin use for the first time the word "Cyclid" and give the demonstration of their existance and their main properties.

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.

DESCARTES, René.

Les Principes de la philosophie de René Descartes.

Paris, Nicolas Le Gras, 1681.

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Sold

Fourth edition.
"The Principles of Philosophy" by René Descartes is a fundamental work of Western philosophy. In this treatise, Descartes sets out his vision of the world, based on metaphysical and physical principles. He develops his method of doubt, his famous "cogito, ergo sum" (I think, therefore I am), and his conceptions on the nature of the soul and the body.

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.
.

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.

Results (121 - 150) of 201

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Mathematics

GAULTIER DE BIAUZAT, Jean François.

Projet motivé d'articles additionnels à la loi, du 19 janvier 1791. Relative à l'organisation des Ponts & Chaussées.

First edition.Proposed amendments to the law of January 19, 1791, which created the Corps of Ponts et Chaussées.

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.

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.

Rare first edition.

FRECHET, Maurice.

Les Espaces abstraits et leur théorie considérée comme introduction à l'analyse générale.

FRANCOEUR, Louis Benjamin.

Géodésie ou traité de la figure de la Terre et de ses parties.

Second edition. Lessons given at the Faculty of Sciences of Paris including topography, surveying, leveling, terrestrial and astronomical geomorphy, construction of maps, navigation.

FONTES, Joseph.

Réunion de 4 plaquettes sur l'arithmétique et la division.

First editions.Meeting of 4 brochures on the subject of arithmetics.

FONTES, Joseph.

Archéologie Mathématique : Réunion de 6 plaquettes.

First editions. Meeting of 6 brochures on the subject of Mathematical Archaeology, taken separately from science history journals:.

FONTAINE Des BERTINS, Alexis.

Mémoires donnés à l'académie royale des sciences non imprimés dans leur temps, par M.Fontaine, de cette académie.

First edition. Twelve memories, dealing essentially with infinitesimal geometry, integral calculus, mechanics, and astronomy.

EULER, Léonard.

Introduction à l’analyse infinitésimale.

EULER, Léonard.

Elémens d'Algèbre.

EULER, Léonard.

Lettres à une princesse d'Allemagne.

EUCLIDE || HENRION, Denis.

Les quinze livres des élémens d'Euclide.

[ECOLE POLYTECHNIQUE] BARDONNAUT, Ernest.

Epures de Géométrie descriptive.

Collection of drawings, by Marie Henri Ernest Bardonnaut (X 1847).

[ECOLE POLYTECHNIQUE].

Programmes de l'enseignement de l'Ecole Royale Polytechnique.

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.

DUPUY, Léon.

Exposé de la méthode de Hansen pour le calcul des perturbations spéciales des petites planètes.

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.

Second edition augmented by Raoul Bricard.

DUPIN, Charles.

Applications de géométrie et de méchanique, à la Marine, aux Ponts et Chaussées, etc. Pour faire suite aux développements de Géométrie.

DUPIN, Charles.

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).

DORMOY, Emile.

Théorie Mathématique des assurances sur la vie.

DOETSCH, Gustav || HERSCHEL, Rudolf.

Introduction à l'utilisation pratique de la transformation de Laplace.

DESCARTES, René.

Les Principes de la philosophie de René Descartes.

DENJOY, Arnaud.

Introduction à la théorie des fonctions de variables réelles.

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.

DEAUX, Roland.

Introduction to the geometry of complex numbers.

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.

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.

DARBOUX, Gaston.

Leçons sur les systèmes orthogonaux et les coordonnées curvilignes.

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.

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.

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.

First edition.
Proposed amendments to the law of January 19, 1791, which created the Corps of Ponts et Chaussées.

Second edition.
Lessons given at the Faculty of Sciences of Paris including topography, surveying, leveling, terrestrial and astronomical geomorphy, construction of maps, navigation.

First editions.
Meeting of 4 brochures on the subject of arithmetics.

First editions.
Meeting of 6 brochures on the subject of Mathematical Archaeology, taken separately from science history journals:.

First edition.
Twelve memories, dealing essentially with infinitesimal geometry, integral calculus, mechanics, and astronomy.

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.

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.

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.

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.

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.

First edition.
Book compiling the lessons given at the Sorbonne by Gaston Darboux.

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.