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MANUSCRIT.
94 planches.
s.l., s.n., 1834-1835.
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350 €
Collection of mathematical and architectural drawing of a student (Frenet), in the style of the drawings taught at the Ecole Polytechnique, with a first set of plates for the curved part, surfaces, perspectives, shadows (78 boards) and 16 plates on architecture.
JEANS, James.
A Travers l'Espace et le Temps.
Paris, Hermann, 1935.
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30 €
Sir James Jeans (1877-1946) was a British physicist, astronomer, and mathematician. His work ' A Travers l'Espace et le Temps ' (Through Space and Time) is a popular science book that explores the mysteries of the universe, from cosmology to the nature of time.
POINCARE, Henri || HILBERT, David || HERTZ, Heinrich.
Acta Mathematica.
Stockholm, F et G Beijer, 1887-1900.
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1500 €
First edition.
Set of eleven volumes of the famous Acta mathematica in which the greatest mathematicians published their research in their languages. Among the illustrious contributors we will note 7 articles by Henri Poincaré, 2 articles by David Hilbert, 1 article by Hertz, 3 articles by Tchebycheff and numerous articles from the French school following Emile Borel.
Non-exhaustive list of articles:
POINCARÉ, H. L'oeuvre mathématique de Weierstrass..........
POINCARÉ, H. Sur les propriétés du potentiel et sur les fonctions Abéliennes
POINCARÉ, H. Sur une forme nouvelle des équations du problème des trois corps...
POINCARÉ, H. Sur les rapports de l'analyse pure et de la physique mathématique
POINCARE, H. La méthode de Neumaun et le problème de Dirichlet
POINCARE, H. Sur la polarisation par diffraction
POINCARÉ, H. Sur la polarisation par diffraction. (Seconde Partie)
HILBERT, DAVID. Ein Beitrag zur Theorie des Legendre'schen Polynoms
HILBERT, D. und HURWITZ, A. Über die diophantischen Gleichungen vom Geschlecht Null
HERTZ, H. Sur les équations fondamentales de l'électrodynamique pour les corps en mouvement
TCHEBYCHEFF, P. Sur deux théorèmes relatifs aux probabilités
TCHEBYCHEFF, P. Sur les résidus intégraux qui donnent des valeurs approchées des intégrales.
TCHEBYCHEW, P. Angenäherte Darstellung der Kvadrat- wurzel einer Veränderlichen mittelst einfacher Brüche. Aus dem Rus sischen übersetzt von O. Backlund....
BOREL, ÉMILE. Sur les séries de Taylor 243 248
d'OCAGNE, MAURICE. Théorie des équations représentables par trois systèmes linéaires de points cotés
COUSIN, PIERRE. Sur les fonctions den variables complexes
GOURSAT, E. Sur une classe d'équations aux dérivées partielles du second ordre, et sur la théorie des intégrales intermédiaires
LECORNU, LÉON. Mémoire sur le pendule de longueur variable
LIOUVILLE, R. Sur les équations de la dynamique
BOREL, EMILE. Sur les zéros des fonctions entières..........
HADAMARD, J. Mémoire sur l'élimination
LIOUVILLE, R. Sur le mouvement d'un corps solide pesant suspendu par l'un de ses points
PINCHERLE, 8. Sur la génération des systèmes récurrents au moyen d'une équation linéaire différentielle.
HADAMARD, J. Sur les caractères de convergence des séries à termes positifs et sur les fonctions indéfiniment croissantes
HADAMARD, J. Note additionnelle à l'article Sur les caractères de convergence des séries à termes positifs et sur les fonctions indéfiniment croissantess
PICARD, E. Sur une classe de transcendantes nouvelles. (Pre- mier mémoire)........
GOURSAT, É. Sur un mode de transformation des surfaces minima
GOURSAT, É. Sur un mode de transformation des surfaces mi- nima (second mémoire)
PICARD, É. Démonstration d'un théorème générale sur les fonctions uniformes liées par une relation algébrique...
PICARD, E. Sur une classe d'équations linéaires aux dérivées partielles du second ordre..
PICARD, EMILE. Sur une classe de transcendantes nouvelles (second mémoire).
STONE, Edmund.
Analise des infiniments petits comprenant le calcul intégral dans toute son étendue; avec son application aux quadratures, rectifications, cubatures, centres de gravité, de percussion, &c. de toutes sortes de courbes.
Paris, Julien Michel Gandouin, 1735.
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900 €
First edition in French.
Translation in French by Rondet of the Method of Fluxions published in English in 1730.
Stone participated in the spread of differential calculus in Europe following Leibniz, Bernouilli and L'Hospital.
In this book Stone continues the work of the Marquis de L'Hospital on the infinitesimal calculus.
The long introductory speech written by Louis-Bertrand Castel is devoted to Stone and the history of this completely innovative method of calculation.
LEROY, Charles-François-Antoine.
Analyse appliquée à la Géométrie des trois dimensions comprenant les surfaces du second degré, avec la théorie général des surfaces courbes et des lignes à double courbure.
Bachelier, Paris, 1829.
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150 €
First edition.
Charles-François-Antoine Leroy (1780-1854) was professor of geometry at the École polytechnique.
LEROY, Charles-François-Antoine.
Analyse appliquée à la géométrie des trois dimensions, comprenant les surfaces du second degré, avec la théorie générale des surfaces courbes et des lignes a double courbure.
Paris, Mallet-Bachelier, 1854.
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50 €
Charles-François-Antoine Leroy (1793-1875) was a French mathematician and former professor at the École Polytechnique and the École Normale Supérieure, awarded the Legion of Honor. His work, Analysis Applied to the Geometry of Three Dimensions, is an advanced treatise on analytical geometry in space. It covers complex topics such as quadratic surfaces, the general theory of curved surfaces, and doubly curved lines—essential concepts for engineering and physics at the time.
REYNEAU, Charles-Rene.
Analyse démontrée ou la méthode de résoudre les problèmes de mathématiques et d'apprendre facilement ces sciences, expliquée et démontrée dans le premier volume et appliquée dans le second, à découvrir les propietez des Figures de la géometrie simple et composée ;.
Paris, Quillau, 1736.
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700 €
Second edition.
Numerous scientific notes from the period on free paper inserted in volume II.
L'HOSPITAL, Guillaume François Antoine (Marquis de).
Analyse des infiniment petits, pour l'intelligence des lignes courbes.
Paris, François Montalant, 1715.
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600 €
Second edition.
The L'Hospital manual was the first treatise devoted to differential calculus in the French language. It did much to disseminate Leibniz's discovery in France and Europe.
On p. 145 we find the rule that would bear the name of L'Hospital's Rule (or theorem), which states that the quotient of two functions behaves locally like the quotient of the associated derivatives.
L'HOSPITAL, Guillaume François Antoine.
Analyse des infiniment petits, suivie d'un nouveau commentaire pour l'intelligence des endroits les plus difficiles de cet ouvrage.
Avignon, Girard, 1768.
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400 €
The text of the Hospital, one of the first promoters of differential calculus, is followed by "a new commentary for the understanding of the most difficult places of this work" by the abbot Aime Henry Paulian, printed for the first time.
ACADÉMIE ROYALE DES SCIENCES || FANTET DE LAGNY, Thomas.
Analyse générale ou méthodes nouvelles pour résoudre les problèmes de tous les genres et de tous les degrez à l'infini.
Mémoires de l'Académie Royale des Sciences. Depuis 1666 jusqu'à 1699. Tome XI.
Paris, Compagnie des Libraires, 1733.
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400 €
This volume contains the first edition of the treatise of Lagny.
There is an other issue with a different title page, at the same date.
CARMICHAEL, Robert Daniel.
Analyse indéterminée.
Paris, Puf, 1929.
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40 €
Robert Daniel Carmichael (1879-1967) was an American mathematician, a professor at the University of Illinois. He is known for his work in number theory. This work, translated from English, is a study of indeterminate analysis, a branch of mathematics that deals with equations with multiple variables and their integer solutions. The book covers topics such as Diophantine equations and Fermat's Last Theorem.
BURALI-FORTI, Cesare || MARCOLONGO, Roberto.
Analyse Vectorielle Générale:
I- Transformations linéaires
II- Applications.
Paris, Mattei, 1912-1913.
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30 €
MONGE, Gaspard.
Application de l'analyse à la géométrie.
Paris, Bachelier, 1850.
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The first edition appeared in 1795 under the title 'Feuilles d'analyse appliquée à la géométrie'. In this work, Monge "assembled, along with general considerations regarding the theory of surfaces and the geometric interpretation of partial differential equations, monographs on about twenty families of surfaces defined by their mode of generation." (DSB [IX p. 476]).
In 1802, working with Hachette, he prepared a brief exposition, of analytic geometry that was designed to replace, the few remarks on the subject contained in the Feuilles. Entitled 'Application de l’algèbre à l’analyse', it was published separately in 1805; in 1807 edition and also for the fourth 1809 edition, it became, the first part of the final version of 'Feuilles d’analyse', now entitled 'Application de l'Analyse à la Géométrie.'
It's an, important work, in which, "The authors show that every plane section of a second degree surface is a second degree curve, and that parallel planes cut out similar and similarly placed curves. These results parallel Archimedes' geometric theorems. The authors also show that the hyperboloid of one sheet and the hyperbolic paraboloid are ruled surfaces, that is, each can be generated in two different ways by the motion of a line or each surfiace is formed by two systems of lines. The result on the one-sheeted hyperboloid was known by 1669 to Christopher Wren, who said that this figure could be Senerated by revolving a line about another not in the same plane. With the work of Euler, Lagrange, and Monge, analytic geometry became an independent and full-fledged branch of mathematics." (Kline in. Mathematical ... p. 547).
Fifth edition augmented by Joseph Liouville, who added substantial notes, as well as a translation of Carl Friedrich Gauss's key memoir (Disquisitiones generales circa superficies curvas, 1827) on the general theory of curved surfaces.
PONCELET, Jean-Victor.
Applications d'Analyse et de Géométrie, qui ont servi, en 1822, de principal fondement au Traité des Propriétés Projectives des Figures.
Paris, Mallet-Bachelier, 1862.
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90 €
First edition. First part only.
First publication of a manuscript written by Poncelet, a prisoner in Saratov, Russia. During his captivity, Poncelet wrote his Treatise on Projective Properties.
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.
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:.
DELAMBRE, Jean-Baptiste.
Astronomie théorique et pratique, composée des leçons que j'ai données depuis six ans au Collège de France.
Paris, Veuve Courcier, 1814.
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800 €
First edition of this astronomy classic, based on the lectures Delambre gave for six years at the Collège de France. The first volume contains descriptions of instruments, trigonometry, and spherical astronomy; the second deals with elliptical motion, the different celestial systems, the formation of astronomical tables, and eclipses. Finally, the last volume is devoted to the apparent motions of the planets, satellites, nautical astronomy, and the calendar.
SAINTE-LAGUË, André.
Avec des nombres et des lignes (Récréations mathématiques.).
Paris, Vuibert, 1937.
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30 €
First edition.
André Sainte-Laguë (1882-1950), Doctor of Science, was a French mathematician known for his contributions to graph theory and the popularization of mathematics. His work Avec des nombres et des lignes (With Numbers and Lines) is a book of "mathematical recreations," which presents mathematical problems and games in an accessible and playful manner.
ARAGO, François.
Biographie de Gaspard Monge.
Paris, Firmin Didot, 1853.
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300 €
First edition.
François Arago (1786-1853), permanent secretary of the Academy of Sciences, was a leading French physicist, astronomer, and politician. This biography of Gaspard Monge (1746-1818), founder of descriptive geometry, is a tribute to one of the major figures of the French Revolution and 18th-century science. Monge's work, a former member of the Academy, is highlighted by Arago, who himself contributed to the advancement of science.
MANUSCRIT de Mathématiques, CREUZE.
Cahier d'Arithmétique, fait par C. Creuzé.
Tours, s.n., 1820.
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250 €
French manuscript on arithmetics.
BERTRAND, Joseph.
Calcul des probabilités.
Paris, Gauthier-Villars, 1907.
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Second edition.
Joseph Louis François Bertrand (1822-1900), is a French mathematician, economist and historian of science. Joseph Louis François Bertrand (1822-1900) was a French mathematician, economist, and historian of science. In this book, he presents what would become known as Bertrand's Paradox, a problem in probability theory that highlights the limitations of relying on intuition in this discipline.
LEVY, Paul.
Calcul des probabilités.
Paris, Gauthier-Villars, 1925.
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950 €
First edition.
Paul Lévy (1886-1971) French mathematician is among the founders of modern probability theory. We also owe him important considerations on the stable stochastic laws which bear his name as well as on martingales. In 1920, he was appointed professor of analysis at the École Polytechnique and on this occasion discovered the discipline that would leave his mark the most: the calculation of probabilities. It can be said that most of the essential concepts of probability theory derive from him.
CHATELET, Albert || KAMPE DE FÉRIET, Joseph Marie.
Calcul vectoriel théorie applications géométriques et cinématiques.
Paris, Gauthier-Villars, 1924.
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30 €
Albert Chatelet (1883-1960) was a French mathematician and university professor. Joseph Kampe de Fériet (1893-1982) was a mathematician and engineer, known for his work on fluid mechanics and probability. This work is a didactic manual on vector calculus, with applications in geometry and kinematics, intended for students in mathematics and physics.
GAUTHIER, Mr.
Collections mathématiques.
s.l., s.n., 1806-1807.
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1500 €
Fine copy.
LACROIX, Silvestre François.
Complément des élémens d'algèbre, a l'usage de l'école centrale des quatre-nations.
Paris, Bachelier, 1825.
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30 €
Silvestre François Lacroix (1765-1843) was a French mathematician, known for his teaching manuals that influenced mathematics education in France. He is the author of a collection of works on calculus and geometry. This work is a supplement to his algebra textbook, intended for students in central schools. It complements the concepts covered in his main book.
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.
TANNERY, Jules.
Correspondance entre Lejeune Dirichlet et Liouville.
Paris, Gauthier-Villars, 1910.
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75 €
First edition.
Correspondence chosen by Jules Tannery between the mathematicians Joseph Liouville (1809-1882) and Gustav LeJeune-Dirichlet (1805-1859) specialists in number theory. During the summer of 1839, during a visit to Paris, Dirichlet met Joseph Liouville during a dinner at Cauchy. From that date, their exchanges became more frequent and they soon became great friends, exchanging regular scientific correspondence.
BROCARD H. || LEMOYNE T.
Courbes géométriques remarquables (courbes spéciales) planes & gauches.
Paris, Librairie Vuibert, 1919.
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50 €
First edition
Volume I on the title page the other volumes will not appear.
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).
FRANCOEUR, Louis-benjamin.
Cours complet de mathématiques pures.
Paris, Bachelier, 1837.
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60 €
Louis-Benjamin Francoeur (1773-1849) was a French mathematician and a professor at the Faculty of Sciences in Paris. His work focused on analytical geometry, and he was an influential teacher. This work is a complete manual of pure mathematics, designed for teaching in higher education. It covers various fields of mathematics, intended for the training of engineers and scientists.
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