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JORDAN, Camille.
Cours d'analyse de l'École polytechnique.
Paris, Gauthier-Villars, 1882-1887.
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First edition.
Camille Jordan is a French mathematician, known both for his fundamental work in group theory and for his influential Cours d'analyse which marked the birth of modern analysis in France, based on the ideas of Weierstrass.
LA HIRE, Philippe De.
Nouveaux élémens des sections coniques, les lieux géométriques, la construction, ou effection des équations.
Paris, André Pralard, 1679.
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1500 €
First edition.
Philippe de La Hire (1640-1718) is a French mathematician, he is the successor of Desargues and Pascal in the geometry of conics, in that he deduces the properties of conics from the properties of the circle.
La Hire innovates compared to his two predecessors, in that he exploits to the maximum the properties of invariance of harmonic division, which allows him to reason almost exclusively in the plane (and not in space).
This approach leads him to develop the notions of poles and polars, homology, orthoptic locus, etc.
DORMOY, Emile.
Théorie Mathématique des assurances sur la vie.
Paris, Gauthier-Villars, 1878.
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450 €
First edition.
Emile Dormoy, a Polytechnique and mining engineer, will manage the Soleil-Vie insurance company.
He leaves us this important treatise on mathematics for the use of actuaries in which he notably devotes a chapter to the Theory of deviations.
He describes there before Wilhelm Lexis what will be known as the "Lexis Ratio".
The law of deviations subsequently developed by Bachelier will be one of the bases of financial mathematics.
L’HOSPITAL, Guillaume (Marquis de).
Traité analytique des sections coniques et de leur usage pour la résolution des équations dans les problèmes tant déterminez qu’indéterminez.
Paris, Jean Boudot, 1707.
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1200 €
First edition.
Treatise on conic sections, which he treats both by geometric and analytical methods (equations of the form ax2 bx2 cxy dx ey f = 0) and which was very successful. Finalized in 1699, it was not published until after his death at the request of Fontenelle, then secretary of the Royal Academy.
GENTY, Louis || [MAUGUE ?].
Cours de géométrie et de trigonométrie rectiligne suivant Mr Genty.
s.l., s.n., 1800.
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600 €
Original Manuscript.
Geometry course certainly given by Louis Genty, who was then professor of Mathematics at the Ecole centrale du Loiret in Orléans. Louis Genty became known in his field for having written a book on Fermat's contributions to geometry and he became a correspondent for the Académie des Sciences in the geometry section shortly before his death in 1817.
LEGENDRE, Adrien Marie.
Mémoire sur les transcendantes elliptiques.
Paris, Didot l'ainé, An II [1793].
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800 €
First edition.
Work which proposes a classification and reduction of elliptic functions with a view to obtaining a general algorithm for their processing.
Leonhard Euler, Legendre's revered master, had studied elliptic integrals and his work served as his starting point. Legendre therefore immersed himself in research on elliptic integrals and, in 1792, presented to the Academy his Mémoire sur les transcendantes elliptiques, which the institution took a year to publish.
This work will serve as a starting point for Niels Abel's research on elliptic functions.
Legendre's work is bound after that of Cousin:
COUSIN, Introduction à l'étude de l'astronomie physique, Paris, Didot, 1787
xv-(1)-323 pages et 2 planches dépliantes (manque le feuillet de dédicace)
Edition originale
Ouvrage rassemblant les conférences de Cousin (1739-1800) sur l'astronomie et la mécanique céleste au Collège de France, où il était professeur de physique.
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).
AGNESI, Maria Gaetana.
Traités élémentaires de calcul différentiel et de calcul intégral. Traduits de l'italien de Mademoiselle Agnesi, avec des additions.
Paris, Claude-Antoine Jombert, 1775.
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2000 €
First edition in french.
Agnesi is according to DSB : "the first woman in the Western world who can accurately be called a mathematician".
Rare treatise on algebra and analysis which met a great success.
It was considered as the clearest, the more methodical and the most comprehensive work on the subject.
SAVARY, Jacques.
Le Parfait Négociant ou instruction générale pour ce qui regarde le commerce.
Paris, Jean Guignard, 1675.
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3500 €
First edition.
A famous merchant born in 1622 in Doué (Anjou) from a noble family, Savary became a wealthy merchant and retired from business at the age of 36. He was chosen by Colbert to be one of the writers of the commercial code of 1673 which was called "Code Savary". He wrote in 1675 the "Perfect trader" which is the compilation of the knowledge he had gathered for the drafting of the ordinance. The legal solutions are clear, sensible, practical, honest. The book is a business bible whose importance Max Weber underlined. This work became a classic, reprinted many times and translated into German, English and Italian.
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.
LAURENT, Hermann.
Théorie des jeux de hasard.
Paris, Gauthier-Villars, [1893].
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30 €
First edition.
HERMITTE, Charles || PICARD, Emile.
Oeuvres de Charles Hermite.
Paris, Gauthier-Villars, 1905-1917.
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250 €
First edition.
Charles Hermite (1822-1901), his work mainly concerns number theory, quadratic forms, orthogonal polynomials, elliptic functions and differential equations. Several mathematical entities are described as Hermitian in his honor. He is also known as one of the first to use matrices. His works were collected and published after his death by his son-in-law Émile Picard.
CHASLES, Michel.
Traité de géométrie supérieure.
Paris, Gauthier-Villars, 1880.
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150 €
Second edition.
Major book of the famous mathematician Chasles.
BOREL, Emile || DRACH, Jules || TANNERY, Jules.
Introduction à l'étude de la théorie des nombres et de l'algèbre supérieure.
Paris, Nony et Cie, 1895.
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First edition.
MAILLET, Edmond.
Introduction à la Théorie des Nombres Transcendants et des propriétés arithmétiques des fonctions.
Paris, Gauthier-Villars, 1906.
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300 €
First edition.
Edmond Théodore Maillet (1865-1938) is one of the rare French mathematicians of the 19th century working in algebraic number theory.
TANNERY, Jules.
Leçons d'arithmétique théorique et pratique.
Paris, Armand Colin & Cie, 1894.
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50 €
First edition.
Jules Tannery (1848-1910), was a French mathematician whose efforts are mainly directed towards the study of the foundations of mathematics and the philosophical ideas implicit in mathematical thought.
CAHEN, Eugène.
Éléments de la théorie des nombres : Congruences, Formes Quadratiques, Nombres Incommensurables.
Paris, Gauthier-Villars, 1900.
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75 €
First edition.
Presentation copy.
LAISANT, Charles-Ange.
Introduction à la méthode des quaternions.
Paris, Gauthier-Villars, 1881.
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75 €
First edition.
This book offers an in-depth and accessible exploration of the quaternion method, a branch of mathematics that has long fascinated math enthusiasts. Laisant makes this complex method more easily understandable to a wider audience, providing clear illustrations and numerous examples. Readers will be able to learn how to solve complex math problems in a new and exciting way with this book.
MERAY, Charles.
Nouveaux Éléments de Géométrie.
Dijon, p. jobard, 1903.
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50 €
New edition augmented.
LAME, Gabriel.
Leçons sur les fonctions inverses des transcendantes et les surfaces isothermes.
Paris, MALLET-BACHELIER, 1857.
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100 €
First edition
Gabriel Lamé (1795-1870) was a French mathematician and engineer known for his significant contributions to mathematics and mechanics. He made important contributions in several areas of mathematics and physics, including elasticity theory, number theory, and complex analysis.
COURNOT, Antoine Augustin.
Traité élémentaire des fonctions et du calcul infinitésimal.
Paris, L. HACHETTE, 1857.
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100 €
Second revised and corrected 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.
CHASLES, Michel.
Traité des Sections Coniques, faisant suite au Traité de Géométrie Supérieure. Première Partie [all published].
Paris, Gauthier-Villars, 1865.
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220 €
First edition.
POISSON, Siméon Denis.
Traité de Mécanique.
Paris, Bachelier, 1833.
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125 €
Second edition.
Siméon Denis Poisson (1781-1840), French physicist and mathematician, it is in this Treatise on Mechanics that he introduces the coefficient which bears his name and which is one of the fundamental elements of the theory of elasticity. He demonstrated using molecular theory that this coefficient should have a value equal to 0.25. Value confirmed by measurements since most metals have a Poisson's ratio close to 0.3.
DARBOUX, Gaston.
Leçons sur la théorie générale des surfaces et les applications géométriques du calcul infinitésimal.
Paris, Gauthier-Villars, 1887-1896.
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350 €
First edition.
Book compiling the lessons given at the Sorbonne by Gaston Darboux.
SAURI, Jean.
Cours complet de Mathématiques.
Paris, Ruault, 1774.
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350 €
First edition.
Popularization manual by Abbot Saury, a polymath close to the encyclopedists who went into exile in India after his embattlement.
Complete work in 5 volumes and 32 plates.
[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.
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].
DUPUY, Léon.
Exposé de la méthode de Hansen pour le calcul des perturbations spéciales des petites planètes.
[Paris], [Baillière], [1874].
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150 €
First edition.
Article published in the Memoirs of the Physical and Natural Sciences Society of Bordeaux.TX on this fundamental problem of celestial mechanics which preoccupied mathematicians and astronomers at the end of the 19th century. Discussion on Hansen's method which is a perturbation theory approach to the three-body problem.
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.
LUSIN, Nicolas.
Leçons sur les ensembles analytiques et leurs applications.
Paris, Gauthier-Villars, 1930.
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30 €
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.
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