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Mathematics
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DUCHESNE, E.
Éléments de géométrie descriptive, a l'usage des élèves qui se destinent a l'école polytechnique, a l'école spéciale de saint-cyr, de la marine, et a l'école centrale des arts et manufactures.
Paris, Malher, 1829.
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30 €
E. Duchesne was a mathematics professor, author of textbooks intended for students of the Grandes Écoles. This work is a manual on descriptive geometry, a method for representing three-dimensional objects. It was designed to prepare students for the entrance exams of major scientific and military schools.
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.
BIOT, Jean-Baptiste.
Notions élémentaires de statique destinées aux jeunes gens qui se préparent pour l'École Polytechnique.
Paris, Bachelier, 1829.
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50 €
Jean-Baptiste Biot (1774-1862) was a French physicist, astronomer and mathematician, pioneer in the use of polarized light to study solutions.
BIOT, Jean-Baptiste.
Notions élémentaires de statique.
Paris, Bachelier, 1829.
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30 €
This work is a pedagogical manual on statics, intended for students preparing for the entrance exams of major French military schools, such as the École Polytechnique. The author, Jean-Baptiste Biot, was a French physicist, mathematician, and astronomer whose work focused on optics and magnetism.
LACROIX, Sylvestre François.
Essais de géométrie sur les plans et les surfaces courbes.
Paris, Bachelier, 1829.
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40 €
PONCELET, Jean-Victor.
Recherches sur le calcul des séries.
Paris, Académie des Sciences, 1833.
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120 €
First edition.
Jean-Victor Poncelet (1788-1867) was a French mathematician and military engineer, known for his work in projective geometry and mechanics. This document is a paper he presented to the Académie des Sciences. In it, he addresses the calculus of series, a mathematical method used in solving equations and problems related to machines.
[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.
CAUCHY, Augustin Louis.
Résumés analytiques.
Turin, Imprimerie royale, 1833.
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First edition.
Publication of Cauchy while he was in exile in Turin, his opposition to the July Monarchy having in effect closed him access to teaching posts in France.
He summarizes here his courses in algebraic analysis.
MONGE, Gaspard.
Traité élémentaire de statique a l'usage des écoles de la marine.
Paris, Bachelier, 1834.
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30 €
Gaspard Monge, was a mathematician and scientist who played a major role in the founding of the École Polytechnique and in the development of descriptive geometry.
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.
LEROY, Charles-françois-antoine.
Traité de Géométrie Descriptive.
Paris, Carilian-Gœury, 1834.
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100 €
First edition.
CORIOLIS, Gustave Gaspard.
Théorie mathématique des effets du jeu de Billard.
Paris, Carilian-Goeury, 1835.
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1200 €
Coriolis, devoted his energies to the applications of the laws of mechanics and was responsible for the terms "work" and "kinetic energy." He is best known for "his theorem relating the various components of acceleration in rotating systems, one of which rise to the so-called Coriolis force. (Bibliotheca mecanica).
First edition of the first mathematical analysis of the complex kinetics of billiards.
COWLEY, John-Lodge || MARIE, François-Charles-Michel.
Géométrie Stéréographique, ou reliefs des polyèdres, pour faciliter l'étude des corps, en vingt-cinq planches gravées, dont vingt-quatre sur carton et découpées.
Paris, Giroux et cie, 1835.
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First french edition.
This work, authored by François-Charles-Marie Marie (1780-1848), is an adaptation of an English work by John-Lodge Cowley. It is particularly notable for its pedagogical approach to the geometry of polyhedra, illustrated with twenty-four removable plates designed to be cut out and assembled.
LEGENDRE, Adrien-Marie.
Éléments de Géométrie, avec des notes.
Paris, Firmin Didot Frères, 1837.
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Adrien-Marie Legendre (1752-1833) was a distinguished French mathematician, a member of the Institut and the Legion of Honour, as well as the Royal Society of London. His contributions were major in number theory, analysis (Legandre functions, Legendre transform), and geometry. His "Elements of Geometry" was an international reference textbook, rivaling Euclid's "Elements" in its clarity and rigor.
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.
COUSINERY, Benjamin-Eugène.
Le calcul par le trait, ses éléments et ses applications.
Paris, Carilian-Gœury, 1839.
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180 €
First edition.
First treatise on calculus by trace.
Benjamin-Eugène Cousinery was a chief engineer of the Ponts et Chaussées. This work is a technical manual that presents a graphical calculation method, known as "le calcul par le trait," and its practical applications in engineering and construction, such as measuring volumes and sizing structures.
CHOPART, Louis Narcisse.
Essais sur les évolutions navales suivis de quelques tables.
Paris, Imprimerie royale, 1839.
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600 €
First edition.
Chopart will be Vice-Admiral of the French Navy, he will participate in particular in the Algiers expedition in 1830. His book is in line with the tactics of the 18th century sailing navy, but as a former student from polytechnique he constantly uses geometric tools to demonstrate his movements. Beautiful printing on quality paper for this naval tactics book.
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.
COURNOT, Antoine-Augustin.
Traité élémentaire de la théorie des fonctions et du calcul infinitésimal.
Paris, Hachette, 1841.
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First edition.
Cournot, 19th-century French mathematician and philosopher. This treatise is one of his important works and deals with mathematical concepts related to functions and calculus, which is a branch of mathematics dealing with limits, derivatives, and integrals, among other topics.
DUHAMEL, Jean-Marie Constant.
Cours d'analyse de l'école polytechnique.
Paris, Bachelier, 1841.
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90 €
First edition.
POINSOT, Louis.
Éléments de statique, suivis de quatre mémoires sur la composition des moments et des aires ; sur le plan invariable du système du monde ; sur la théorie générale de l'équilibre et du mouvement des systèmes et sur une théorie nouvelle de la rotation des corps.
Paris, Bachelier, 1842.
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40 €
BOURDON, Pierre Louis Marie.
Éléments d'algèbre.
Paris, Bachelier, 1843.
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30 €
This work is a mathematics textbook that was widely used and reissued in the 19th century. It was adopted by the University and served as a reference text for teaching algebra. The author, Pierre Louis Marie Bourdon, was a well-known French mathematician and teacher, recognized for his contributions to mathematics pedagogy.
COURNOT, Antoine Augustin.
Exposition de la théorie des chances et des probabilités.
Paris, Hachette, 1843.
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First edition.
Antoine Augustin Cournot (1801-1877) was a French mathematician, economist, and philosopher. He is considered one of the founders of the mathematical economics school. This work is a important treatise on the theory of chances and probabilities, in which he expounds his views on the application of probability theory to the sciences and real-world events.
[MATHEMATIQUES].
Journal de l'Ecole Royale Polytechnique.
Paris, Bachelier, 1843-1845.
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100 €
First edition.
Years 1843 and 1834 of publication of the Journal of the Royal Polytechnic School. There are scientific articles by professors from the School of the day:.
JACOBI, Carl Gustav Jacob.
Mémoire sur l'élimination des noeuds dans le problème des trois corps.
Paris, Bachelier, 1844.
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350 €
First off-print publication of Jacobi's article on his approach to the three-body problem.
Jacobi's article is binded following two other memoirs on celestial mechanics, extracted from the Journal de Liouville:
CISA DE GRESY, Memoir on the problem of the disturbance of the planets, Bachelor, [1828]
LE DOULCET DE PONTECOULANT, Memoir on the part of the coefficients of the great inequalities of Jupiter and Saturn which depend on the square of the pertubating forces, Paris, Bachelier, [1829].
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).
[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).
COURNOT, Antoine-Augustin.
De l’origine et des limites de la correspondance entre l’algèbre et la géométrie.
Paris, Hachette, 1847.
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First edition.
Antoine-Augustin Cournot was a French mathematician, economist, and philosopher (1801–1877). He is primarily recognized for his pioneering contributions to the application of mathematics to economics.
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.
LEROY, Charles François Antoine.
Traité de géométrie descriptive.
Paris, Bachelier, 1850.
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80 €
Third edition.
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