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Mathematics
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PAPPUS D'ALEXANDRIE.
La Collection Mathématique. Oeuvre traduite pour la première fois du grec en français avec une introduction et des notes par Paul Ver Eecke.
Paris, Albert Blanchard, 1982.
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Reprint from Blanchard.
GAUSS, Carl Friedrich || ROGER, Émile.
Recherches générales sur les surfaces courbes.
Paris, Albert Blanchard, 1967.
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30 €
New edition.
Carl Friedrich Gauss (1777-1855) is considered one of the greatest mathematicians in history. His Recherches générales sur les surfaces courbes (General Research on Curved Surfaces) is a foundational text of differential geometry, where he introduced the concepts of curvature and Gaussian curvature.
Facsimile reprint of the 1870 edition.
BROCARD, Henri || LEMOYNE, Théodore.
Courbes géométriques remarquables (Courbes spéciales) planes & gauches.
Paris, Albert Blanchard, 1967.
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150 €
Part 1 was first published in 1919 and Blanchard made a reprint of it when he decided with the author, to published the Part 2 and 3 which are in first edition (1967-1970).
EUCLIDE || PEYRARD, F.
Les œuvres d'Euclide, traduites littéralement par F.Peyrard.
Paris, Albert Blanchard, 1966.
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Reprint of the original 1819 edition of this translation of Euclid's works by Peyrard.
APOLLONIUS DE PERGE.
Les coniques d'Apollonius de Perge.
Paris, Albert Blanchard, 1963.
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Second edition of this translation in french given by Paul Ver Eecke.
FAVARD, Jean.
Cours d'analyse de l'École Polytechnique.
Paris, Gauthier-Villars, 1960.
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180 €
First edition.
ARCHIMÈDE.
Les œuvres complètes d'Archimède suivies des Commentaires d' Eutocius d'Ascalon traduites du grec en français avec une introduction et des notes par Paul van EECKE.
Paris, Vaillant-Carmanne, [1960].
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Second edition.
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.
DIOPHANTE D'ALEXANDRIE.
Les six livres arithmétiques et le livre des nombres polygones.
Paris, Albert Blanchard, 1959.
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Reprint of the firs translation in french given by Van Eecke.
ANGOT, André.
Compléments de mathématiques à l'usage des ingénieurs de l'électrotechnique et des télécommunications.
Paris, editions de la revue d'optique, 1957.
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50 €
Third edition.
Preface by Louis de Broglie.
LEBESGUE, Henri.
Sur la mesure des grandeurs.
Genève, l'Enseignement Mathématique, 1956.
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50 €
Second edition.
Henri Lebesgue (1875-1941), is one of the great French mathematicians of the first half of the twentieth century. He is recognized for his theory of integration and for his theory of measurement, which extends the important early work of Émile Borel.
Compilation of Lebesgue's articles published in Enseignement mathématique from 1931 to 1935.
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.
DENJOY, Arnaud.
Mémoire sur la Dérivation et son Calcul Inverse.
Paris, Gauthier-Villars, 1954.
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350 €
Firs edition of htis compilation of these four important pappers of Denjoy.
LÉVY, Paul.
Cours d'analyse, École Polytechnique, 2ème Division.
Paris, Polytechnique, 1953-1955.
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60 €
Paul Lévy (1886-1971) was a major French mathematician, known for his fundamental work in probability theory, especially on stochastic processes and stable laws. His Cours d'analyse (Course in Analysis) for the École Polytechnique is a set of photocopied lecture notes that reflects the teaching of mathematical analysis at an advanced level. Although less formal than an edited treatise, this type of document is crucial for understanding the transmission of mathematical knowledge in major institutions like the École Polytechnique. It presents the concepts and methods of analysis as taught directly by an emblematic figure in the discipline.
GALOIS, Evariste || VERRIEST, Gustave.
Oeuvres Mathématiques d'Évariste Galois.
Paris, Gauthier-Villars, 1951.
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This work contains the Œuvres Mathématiques d'Évariste Galois (Mathematical Works of Évariste Galois, 1811-1832), a mathematical genius whose revolutionary work on group theory and field theory laid the foundations of modern algebra. The "notice sur Évariste Galois et la Théorie des Équations Algébriques" (note on Évariste Galois and the Theory of Algebraic Equations) is written by Gustave Verriest (1880-1956), professor at the University of Louvain, who provides essential insights into Galois' short but intense life and the importance of his discoveries. The publication of Galois' works, first in 1897, then this second revised and corrected edition in 1951, highlights their lasting impact on contemporary mathematics and their posthumous recognition as major contributions.
LÉVY, Paul.
Problèmes Concrets d'Analyse Fonctionnelle.
Paris, Gauthier-Villars, 1951.
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50 €
Second edition.
Paul Lévy (1886-1971), professor at the École Polytechnique, was a major French mathematician, founder of modern functional analysis and a pioneer in probability theory. His work Problèmes Concrets d'Analyse Fonctionnelle (Concrete Problems in Functional Analysis) is an augmented re-edition of his Leçons d'Analyse Fonctionnelle.
BETH, Evert Willem.
Les Fondements logiques des mathématiques.
Paris, Gauthier-Villars, 1950.
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30 €
First edition.
This work is a major contribution to mathematical logic. It explores the theoretical and philosophical foundations of mathematics, examining formal logic and set theory. The author, Evert Willem Beth, was a Dutch logician and philosopher whose work influenced logic and epistemology in the second half of the 20th century.
BOREL, Émile.
Leçons sur la Théorie des Fonctions (Principes de la théorie des ensembles en vue des applications à 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.
BOREL, Émile.
Méthodes et problèmes de théorie des fonctions.
Paris, Gauthier-Villars, 1950.
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30 €
Second edition.
In the collection of monographs on the theory of functions published under the direction of M. Emile Borel
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.
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.
BAIRE, René.
Théorie des Nombres irrationnels, des limites et de la continuité.
Paris, Librairie Vuibert, 1947.
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30 €
René Baire (1874-1932), a professor at the University of Dijon, was a leading French mathematician known for his work on real function theory. This work is a fundamental textbook of mathematical analysis, addressing key concepts such as irrational numbers, limits, and continuity, which are the foundations of modern analysis.
VON NEUMANN, John.
Les fondements mathématiques de la mécanique quantique.
Paris, Félix Alcan, 1946.
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First french edition. (with label of presses universitaires de france. 1947 on the title page)
John von Neumann (1903-1957) was an American mathematician and physicist of Hungarian origin. He made major contributions to theoretical computer science, game theory, and quantum mechanics. The work lays the rigorous mathematical foundations of quantum mechanics using operator theory in Hilbert spaces and had a fundamental impact on the development of modern physics.
DENJOY, Arnaud.
L'énumération transfinie.
Paris, Gauthier-Villars, 1946-1954.
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350 €
First edition.
CARTAN, Elie.
Leçons sur la Géométrie des Espaces de Riemann.
Paris, Gauthier-Villars, 1946.
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45 €
Second edition augmented.
Cartan's second work on the spaces of Riemann. His works extend Riemannian geometry into what will become the Riemann-Cartan geometry, which is very useful for the study of certain aspects of general relativity.
DE BROGLIE, Louis.
Problèmes de Propagations Guidées des Ondes Électromagnétiques.
Paris, Gauthier-Villars, 1941.
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80 €
First edition.
Louis de Broglie (1892-1987), a member of the Institute and professor at the Faculty of Sciences of Paris, was a French theoretical physicist, Nobel laureate. His work Problèmes de Propagations Guidées des Ondes Électromagnétiques (Problems of Guided Propagation of Electromagnetic Waves) is an advanced text on electromagnetism and wave propagation in guided structures, such as waveguides and cables. Published during World War II, it reflects significant developments in communication and radar technology. This book is crucial for understanding the state of applied electromagnetic theory during this period, and De Broglie's contributions to fields that would become essential for the post-war era.
JULIA, Gaston.
Cours de Géométrie.
Paris, Gauthier-Villars, 1941.
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40 €
First edition.
Gaston Julia (1893-1978), a member of the Institute and professor at the École Polytechnique, was a leading French mathematician, famous for his work on fractals (Julia set). His Cours de Géométrie (Course in Geometry) is a textbook derived from his teaching at the École Polytechnique, a prestigious institution that trains France's scientific and technical elite. This work reflects the methods and content of geometry teaching in the mid-20th century, a field that remains fundamental despite the emergence of new branches of mathematics. Julia's course was renowned for its clarity and rigor.
DE BROGLIE, Louis.
Une nouvelle théorie de la Lumière.
Paris, Hermann, 1940-1942.
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150 €
First edition.
Louis de Broglie (1892-1987), Nobel laureate in physics, was a leading French theoretical physicist. This work is a major contribution to quantum physics and the theory of light. In it, he develops a new theory, the photon wave, which extends his own wave-particle duality theory for electrons.
LAUTMAN, Albert.
Essai sur les Notions de Structure et d'Existence en Mathématiques :
- Les Schémas de Structure.
- Les Schémas de Génèse.
Paris, Hermann, 1938.
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350 €
First edition.
Albert Lautman (1908-1944) was a French philosopher of mathematics whose work had a considerable posthumous influence. This essay, published in the "Le Progrès de l'Esprit" collection edited by Léon Brunschvicg, is a profound exploration of the relationship between mathematics and philosophy. Lautman develops the idea that mathematical theories are not mere arbitrary creations but are based on ideal "structural schemas," linking mathematics to metaphysics. His work is a landmark in the philosophy of science of the interwar period, tragically cut short by his death in deportation.
VILLAT, Henri.
Mécanique des fluides.
Paris, Gauthier-Villars, 1938.
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30 €
Second edition.
Henri Villat (1879-1972) was a leading French mathematician and fluid mechanician, a member of the Institute and professor at the Sorbonne, director of the Institute of Fluid Mechanics in Paris, and professor at the École Nationale Supérieure d'Aéronautique. His 'Mécanique des fluides' (Fluid Mechanics) is an essential textbook for teaching hydrodynamics and aerodynamics.
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