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Results (211 - 240) of
393
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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.
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.
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.
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).
LAGRANGE, Joseph Louis.
Théorie des fonctions analytiques, contenant les principes du calcul différentiel, dégagés de toute considération d'infiniment petits ou d'évanouissans, de limites ou de fluxions et réduits à l'analyse algébrique des quantités finies.
Paris, Imprimerie de la République, An V [1797].
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1200 €
First edition, variant A with 276 pages (an other variant B has 277 pages, see Norman)
Copy as a prize awarded in 1806 to the Collège Sainte Barbe (the college's monogram on the covers) by Gaspard Monge to François de Sales Desnoyers (1788-1846). François Desnoyers joined the École Polytechnique in 1809, served in the Napoleonic campaigns, and lost an arm in Leipzig in 1814. In 1826, he became an Administrator at the École Polytechnique.
HADAMARD, Jacques.
Leçons de Géométrie élémentaire.
Paris, Armand Colin, 1898-1901.
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350 €
First edition.
Jacques Hadamard (1865-1963) was a French mathematician, known for his work in number theory, complex analysis, functional analysis, and differential geometry.
Volume I: Plane Geometry
Volume II: Geometry in space.
[MILLIET DE CHALLES, Claude-François ] || [OZANAM, Jacques].
Les élémens d'Euclide du R.P. Dechalles.
Paris, Claude Jombert, 1720.
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150 €
Claude François Milliet Dechales (1621-1678) is a French Jesuit priest and renowned mathematician. He published a course in Mathematics and gave a translation of the works of Euclid which was very popular in France.
ROLLE, Michel.
Traité d'Algèbre ou principes généraux pour résoudre les questions de mathématique.
Paris, Estienne Michalet, 1690 [MDCLXC].
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1500 €
First edition.
The "Traité d'algèbre" is the most important work of Rolle.
He invented the notation n √ x to the nth root of x, which is still used today.
His most important contribution, however, is the part where he introduced the concept of "cascades". Let the polynomial equation P (x) = 0 with real roots a and b, then built polynmoe P '(x) he calls the first "cascade" as P' (a) = (ba) Q (b) where Q (x) is a polynomial of degree less. Now P '(x) is call the first derivative of P (x).
Rolle then built second cascade, the second derivative, and so forth to find all the roots of the polynomial.
According to our research, there have been several changes during the printing of the "Traité d'Algèbre".
Copie's with the wrong date (MDCLXC) as our copy, then corrected (M.DC.XC).
Copie's with the sheets FF and FFII (pages 223-226) replaced as in our copy by a single sheet Ff (paged 267/266 error).
Our copy is after adding the FF leaf, but before changing the wrong date on title page.
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).
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