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Mathematics
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KLEIN, Felix.
Leçons sur certaines questions de géométrie élémentaire. Possibilité des constructions géométriques; les polygones réguliers; transcendance des nombres e et pi.
Paris, Librairie Vuibert, 1931.
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30 €
Third edition.
BURALI-FORTI, Cesare || MARCOLONGO, Roberto.
Analyse Vectorielle Générale:
I- Transformations linéaires
II- Applications.
Paris, Mattei, 1912-1913.
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30 €
VACQUANT, Charles || MACÉ DE LÉPINAY, A.
Cours de géométrie élémentaire à l'usage des élèves de mathématiques élémentaires avec des compléments destinés aux candidats à l'école normale et à l'école polytechnique.
Paris, Masson et cie, 1909.
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30 €
The Course in Elementary Geometry by Charles Vacquant and A. Macé de Lépinay is a didactic textbook intended for students in secondary education and preparatory to the grandes écoles. Charles Vacquant was a former professor of special mathematics at the Lycée Saint-Louis and inspector general of public education, while A. Macé de Lépinay was a former student of the École Normale and professor of special mathematics at the Lycée Henri-IV. The work is distinguished by its supplements specifically designed for candidates for the competitive examinations of the École Normale and the École Polytechnique.
LEGENDRE, Adrien-Marie.
Éléments de géométrie avec additions et modifications, par m. a. blanchet.
Paris, Firmin didot frères, 1862.
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30 €
Adrien-Marie Legendre's (1752-1833) Elements of Geometry is one of the most influential geometry textbooks of the 19th century, both in France and abroad. First published in 1794, it aimed to replace Euclid's Elements with a more didactic approach, while retaining axiomatic rigor. This 1862 edition, with additions and modifications by A. Blanchet, testifies to the longevity and adaptation of Legendre's work to successive school curricula. The introduction to this work is authorized by decision of the Ministry of Public Instruction, emphasizing its status as an official reference work.
Bound with :
SERRET, Des Méthodes en géométrie, Paris, Mallet-Bachelier, 1855
BRIOT, Cours de Cosmographie, Paris, Dalmont et Dunod, 1860.
BERTRAND, Joseph.
Traité d'Arithmétique.
Paris, librairie hachette, 1885.
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30 €
Joseph Bertrand (1822-1900) was a prominent French mathematician and member of the French Academy of Sciences. His Treatise on Arithmetic is a pedagogical work intended for the teaching of arithmetic, a fundamental subject in the scientific curriculum of the time. It is distinguished by its clarity and rigor, reflecting the teaching methods in use in 19th-century France. Bertrand is also known for his work in number theory and probability.
VILLAT, Henri.
Leçons sur l'Hydrodynamique.
Paris, Gauthier-Villars, 1929.
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30 €
First edition.
Henri Villat (1879-1972) was a leading French mathematician and fluid mechanician, a corresponding member of the Académie des sciences, and professor at the Faculty of Sciences of Paris. His Leçons sur l'Hydrodynamique (Lessons on Hydrodynamics), published under the auspices of the Chair of Fluid Mechanics and Applications (founded by the Under-Secretariat of State for Aeronautics), is an essential textbook for the study of fluids in motion. The work addresses the fundamental principles of hydrodynamics, with a particular focus on applications.
PICARD, Émile.
Mélanges de Mathématiques et de Physique.
Paris, Gauthier-Villars, 1924.
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30 €
Émile Picard (1856-1941) was an exceptional French mathematician, Permanent Secretary of the Académie des Sciences, known for his major work in analysis, particularly on differential equations and analytic functions.
DE LA VALLÉE POUSSIN, Charles Jean.
Leçons sur l'Approximation des Fonctions d'une Variable Réelle.
Paris, Gauthier-Villars, 1919.
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30 €
First edition. Charles-Jean Étienne Gustave Nicolas de La Vallée Poussin (1866-1962), is a Belgian mathematician known for having proved the prime number theorem using the methods of complex analysis.
DE LA VALLÉE POUSSIN, Charles Jean.
Leçons sur l'Approximation des Fonctions d'une Variable Réelle.
Paris, Gauthier-Villars, 1919.
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30 €
First edition. Charles-Jean Étienne Gustave Nicolas de La Vallée Poussin (1866-1962), is a Belgian mathematician known for having proved the prime number theorem using the methods of complex analysis.
BRIOT, Charles Auguste Albert || VACQUANT, Charles.
Éléments de géométrie conformes aux programmes de l'enseignement scientifique dans les lycées.
Paris, Hachette, 1872.
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30 €
Charles Briot (1822-1882) was a French mathematician. Charles Vacquant (1825-1883) was also a mathematician and an academic inspector. They are known for their collaborations on school textbooks. This work is a geometry manual intended for high schools. It covers the fundamental concepts of plane and solid geometry and served as a basis for science education in France.
LEBESGUE, Henri.
Les Coniques.
Paris, Gauthier-Villars, 1955.
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30 €
Henri Lebesgue (1875-1941), a member of the Institute and professor at the Collège de France and the École Normale Supérieure de Sèvres, is primarily known for his integration theory. However, his work Les Coniques (Conics), prefaced by Paul Montel, demonstrates his interest in more classical geometry topics. Conics (circles, ellipses, parabolas, hyperbolas) are fundamental curves in mathematics and have important applications in physics (planetary trajectories, optics).
BRUN, Edmond A.
Introduction à l'Étude de la Couche Limite.
Paris, Gauthier-Villars, 1955.
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30 €
Edmond A. Brun (1898-1996) was a renowned French physicist and aerodynamicist, a member of the Académie des Sciences. His work Introduction à l'Étude de la Couche Limite (Introduction to the Study of the Boundary Layer) is an essential textbook on this fundamental concept in fluid mechanics, particularly important in aerodynamics and heat transfer. Boundary layer theory, developed by Ludwig Prandtl, describes the thin fluid region near a surface where viscous effects are significant. This book is a key didactic text for students and engineers working in the fields of aeronautics and thermal engineering.
BOREL, Émile.
Leçons sur les Fonctions Entières.
Paris, Gauthier-Villars, 1921.
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30 €
Second edition.
Emile BOREL (1871-1956) French mathematician, professor at the Faculty of Sciences in Paris. He was a specialist in the theory of functions and probability. In 1922 he founded the Statistical Institute of the University of Paris and in 1928 the Henri-Poincaré Institute.
DE LA VALLÉE POUSSIN, Charles Jean.
Intégrales de Lebesgue. Fonctions d'Ensemble. Classes de Baire.
Paris, Gauthier-Villars, 1934.
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25 €
Seconde edition.
LUSIN, Nicolas.
Leçons sur les Ensembles Analytiques et Leurs Applications.
Paris, Gauthier-Villars, 1930.
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First edition.
Nikolai Nikolayevich Luzine (1883 – 1950) was a Russian and then Soviet mathematician. His research mainly concerns set theory and the more particularly topological aspects of mathematical analysis. Prefaced by Henri Lebesgue.
FRÉCHET, Maurice.
Les espaces abstraits et leur théorie considérée comme introduction à l'analyse générale.
Paris, Gauthier-Villars, 1928.
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20 €
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.
DENJOY, Arnaud.
L'énumération transfinie.
Paris, Gauthier-Villars, 1946-1954.
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350 €
First edition.
[GUEPRATTE, Charles].
Traité élémentaire et complet d'arithmétique.
Paris, Malassis, fils, 1809.
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First edition.
Charles Guépratte (1777 - 1857) was a French mathematician and astronomer. This educational work includes a presentation of the decimal system.
DE LA VALLÉE POUSSIN, Charles Jean.
Intégrales de Lebesgue. Fonctions d'Ensemble. Classes de Baire.
Paris, Gauthier-Villars, 1916.
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First edition.
Charles-Jean de la Vallée Poussin (1866-1962), professor at the University of Louvain and a corresponding member of the Institute of France, was a leading Belgian mathematician.
BOREL, Émile.
Leçons sur les Fonctions de Variables Réelles et les Développements en Séries de Polynômes.
Paris, Gauthier-Villars, 1928.
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Second edition.
Émile Borel (1871-1956) is one of the pioneers of the theory of real variable functions and measure theory. These Leçons sur les Fonctions de Variables Réelles et les Développements en Séries de Polynômes (Lessons on Functions of Real Variables and Expansions in Polynomial Series), based on his lectures at the École Normale Supérieure and edited by Maurice Fréchet, are enriched by notes from Paul Painlevé and Henri Lebesgue, eminent figures in mathematical analysis.
BOREL, Émile.
Leçons sur la Théorie des Fonctions.
Paris, Gauthier-Villars, 1950.
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Émile Borel was a French mathematician. He was known for his founding work in the areas of measure theory and probability.
In this important book, Borel developped the concept of mesurable sets introduced by Jordan.
[ARNAULD, Antoine] || [PASCAL, Blaise].
Nouveaux élémens de géométrie contenant, outre un ordre tout nouveau & de nouvelles démonstrations des propositions les plus communes, de nouveaux moyens de faire voir quelles lignes sont incommensurables, de nouvelles mesures des angles, dont on ne s'était point encore avisé, et de nouvelles manières de trouver & de démontrer la proportion des lignes.
Paris, Charles Savreux, 1667.
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3500 €
First edition. Complete with the errata leaf.
First publication of Pascal's work on magic squares.
The work, which would be called Géométrie de Port Royal, was born from the meeting of Antoine Arnauld with Pascal, and their friendly rivalry to make Euclid's geometry more understandable and to compose a manual for use in the Petites écoles.
Pascal conceded that Arnauld's project was better than his, and destroyed his preparatory manuscript. Of Pascal's geometry, all that remains is his solution to magic squares, which Arnauld would place in the appendix of his own work.
The teaching of mathematics in France was lastingly affected and, until Legendre, almost all authors of geometry manuals adopted the views of Port-Royal.
The second state of sheet 251-252, and the rare errata sheet are as described by Dominique Descotes and testify to the modifications made by Arnauld during printing.
BEZOUT, Etienne.
Théorie générale des équations algébriques.
Paris, Ph.-D. Pierres, 1779.
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1400 €
First edition.
BUDAN, Ferdinand.
Nouvelle méthode pour la résolution des équations numériques.
Paris, Courcier, 1807.
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1500 €
First edition.
Work in which Budan states what is now known as the Budan-Fourier theorem.
Bound with the following :
BEZOUT, Théorie générale des équations algébriques, Paris, Ph.-D. Pierres, 1779.
(4)-xxviii-471 pages.
First edition.
Bezout deals with the resolution of equations with n unknowns by elimination.
CRAMER, Gabriel.
Introduction a l'Analyse des Lignes Courbes Algébriques.
Genève, Cramer & Philibert, 1750.
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1400 €
First edition.
Work of algebraic geometry in which Cramer states for the first time what will become Cramer's Rule and Cramer's Paradox.
He also proposes, following shortly after Euler, a classification of curves according to their behavior at infinity.
EUCLIDE.
Les Quinze livres des éléments géométriques d'Euclide megarien.
Paris, Denys Moreau, 1622.
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800 €
One of the most famous works of mathematics.
First edition of the Le Mardelé translation.
He was violently attacked by Henrion in his "Apologetic Response..." for having advanced that he corrected in his translation of Euclid's Elements, the faults of his deferred and also those to Henrion himself.
Nevertheless, although nothing is known of his life, he seems to have been introduced to mathematics, for he published in 1626, a treatise on arithmetic.
LACROIX, Sylvestre Francois.
Traité du calcul differentiel et du calcul integral.
Paris, J.B.M. Duprat, 1797-1798-1800.
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1200 €
First edition.
Rare with the third volume, published separatly, under the title "Traité des différences et des séries" and that will be included in the second edition of the "Traité du calcul differentiel et du calcul integral".
LAPLACE, Pierre-Simon.
Essai philosophique sur les probabilités.
Paris, Vve Courcier, 1814.
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1200 €
First edition.
A second edition of this essay will appear in octavo format, the same year, with a different collation (190 pages instead of 96).
A major work by Pierre-Simon Laplace, a French mathematician and astronomer, presenting an accessible popularization of his theory of probability.
There he presented for the first time the thought experiment that would later be known as Laplace's Demon. Mechanistic vision of the world which will only be called into question with Heisenberg's uncertainty principle.
PELETIER DU MANS, Jacques.
L'Algèbre de Iaques Peletier du Mans, Départie en deux liuvres.
Cologne, Jean de Tournes, 1620.
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Third edition, very rare, of "the first printed book on algebra in French and the richest among vernacular books on algebra".
BELIDOR, Bernard Forest (de).
Nouveau cours de mathématique à l'usage des ingénieurs officiers d'artillerie.
s.l., s.n., 1730.
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700 €
Handwritten copy of Bélidor's Nouveau cours de mathématiques published in 1725.
Our copy, in very legible handwriting, is dated 1730.
It is accompanied by the 34 plates that illustrated the printed edition of this course. At that time, Belidor was a mathematics professor at the artillery school in La Fère, and this course was intended for student officers. The work was a great success in artillery school circles.
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