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Mathematics
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LUCAS DE PESLOÜAN, Charles.
N.H Abel. Sa vie et son œuvre.
Paris, Gauthiers Villars, 1906.
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50 €
Niels Henrik Abel (1802-1829) is a Norwegian mathematician. Like Galois at the same time, he died young but left a considerable body of work.
"He is known for his work in mathematical analysis on the semiconvergence of numerical series, sequences and series of functions, on the convergence criteria of generalized integral and on the notion of elliptic integral; in algebra, on the resolution of equations . " (Accromath).
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.
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, Montalant, 1720.
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200 €
Second 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.
MACLAURIN, Colin.
Traité des fluxions.
Paris, Charles-Antoine Jombert, 1749.
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3500 €
First french edition.
Mathematical defense of Newton's work against the Berkeley attacks, Maclaurin also proposes there a particular use of the Taylor theorem which is since called Taylor-Maclaurin formula and the first test of convergence of an infinite series.
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.
MANNHEIM, Amédée.
Cours de géométrie descriptive de l'école polytechnique comprenant les éléments de la géométrie cinématique.
Paris, Gauthier-Villars, 1880.
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75 €
First edition.
MANNHEIM, Amédée.
Principes et développements de Géométrie cinématique.
Paris, Gauthier-Villars et fils, 1894.
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130 €
First edition.
Amédée Mannheim (1831-1906), professor at the Ecole Polytechnique is notably the inventor of the slide rule in its modern form.
MANNHEIM, Amédée.
Cours de géométrie descriptive de l'école polytechnique comprenant les éléments de la géométrie cinématique.
Paris, Gauthier-Villars, 1886.
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50 €
Second edition.
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.
MANUSCRIT DE MATHÉMATIQUES.
Calcul géométral.
Analyse.
s.l., s.n., [1780].
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Eighteenth-century course of analysis, of a very readable writing.
Definitions, theorems, corollaries are numbered. Our volume starting at number 206, there was certainly written a first volume.
Our volume deals with the problems of the first degree with an unknown, the extraction of the roots, the substitution, with many problems and their solutions. Then are treated problems of two unknowns and first degree, the solidity of the sphere.
MANUSCRIT de mathématiques.
Mathématiques.
s.l., s.n., [v. 1800].
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250 €
Manuscript of the late eighteenth,early nineteenth century of elementary mathematics.
Well written, it deals with arithmetic (operations on numbers and fractions), divisibility, greatest common divisor, proportion, complex numbers (operations on weight).
We also found it a very interesting chapter on the new measures, conversions francs / pounds and the introduction of the metric system. The definition of the franc corresponds to that of 15 August 1795.
MANUSCRIT de Mathématiques, CREUZE.
Cahier d'Arithmétique, fait par C. Creuzé.
Tours, s.n., 1820.
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250 €
French manuscript on arithmetics.
MARIE, Maximilien.
Théorie des fonctions de variables imaginaires.
Paris, Gauthier-Villars, [1874-1876].
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200 €
First edition.
Maximilien Marie (1819-1891), polytechnician (X 1838) then tutor and examiner at the Ecole Polytechnique.
TI: New analytical geometry
TII: Application of the method to the general theory of functions
TIII: History of this work.
The third volume is particularly unusual at this time, it engages in a scientific autobiography in which we can see the progress of his thought and the construction of his mathematical theory.
Autograph dedication of the author to Eugène Rolland (X 1830) the inventor of the roaster, on the title of volume I and the false title page of volume II.
we attach:
MARIE, New theory of functions of imaginary variables, Paris, Mallet-Bachelier, [v. 1862]
(4) -28 pages. in-8 paperback, cover split on the back.
Extract from the article on the functions of imaginary variables published in the "Journal of Pure and Applied Mathematics published by M. Liouville" which is a precursor to those published in the previous work.
[MATHEMATIQUES].
Journal de Mathématiques élémentaires (27 volumes).
Paris, Vuibert et Nony, 1887-1907.
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600 €
First editions.
Journal of mathematics gathering problems proposed by professors or annals of examinations and competitions (aggregation, general competition, baccalaureate, schools (naval type, Saint Cyr, mines of Saint Etienne, agriculture ...).
27 volumes of issues from 1887 to 1907.
NO SHIPPING OUTSIDE FRANCE.
[MATHEMATIQUES].
Journal de l'Ecole Polytechnique publié par le conseil d'instruction.
Paris, Gauthier et fils, 1893-1900.
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150 €
First editions. Years 1893,1894,1897,1898,1900 and 1901.
[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:.
MAUDUIT, Antoine.
Leçons de géométrie théorique et pratique.
Paris, Didot et Bleuet, 1790.
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150 €
Mauduit's purpose stated in the preface was:
"to compose a work more especially dedicated to all those who are destined to the military or civil genius, and the architecture, which embraces all the arts which it directs and which it animates.".
MERAY, Charles.
Nouveau précis d'analyse infinitésimale.
Paris, Savy, 1872.
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300 €
First edition.
[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.
MILLIET DECHALES, Claude François.
Cursus seu Mundus Mathematicus.
Lyon, ex officina Anissoniana, 1674.
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3000 €
First edition of the most important work of Milliet Dechalles.
Complete Mathematics course, which also covers other topics sciences (mechanical, architecture, optics, perspective, astronomy, ..).
We usually meet the second edition published in 1690 in four volumes.
This first edition, complete in three volumes is quite rare.
Copy with some old annotations to the first two volumes and more copiously to the chapter "Astronomy" in volume 3, with in particular three sheets of notes added to volume 3 between pages 404 and 405 and at the end.
MÖBIUS, August Ferdinand.
Der barycentrische Calcul, ein neues Hülfsmittel zur analytischen Behandlung der Geometrie.
Leibzig, Barth, 1827.
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1200 €
First edition of the most important work of Möbius.
MOIGNO , Francois Napoleon Marie.
Leçons de calcul différentiel et de calcul intégral, rédigées d'après les méthodes et les ouvrages publiés ou inédits de A.L. Cauchy.
Paris, Bachelier, 1840-1844.
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Rare first edition, of one of the most complete treatise on differential and integral calculus of the middle of nineteenth century.
MOIGNO, F.
Leçons de calcul différentiel et de calcul intégral, rédigées d'après les méthodes et les ouvrages publiés ou inédits de A.-L. Cauchy. Tome quatrième. Premier fascicule. Calcul des variations, rédigé en collaboration avec M. Lindelöf.
Paris, Mallet-Bachelier, 1861.
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Rare first edition.
Presentation copy.
MONGE, Gaspard.
Géométrie descriptive. Leçons données aux écoles normales, l'An 3 de la république.
Paris, Baudouin, An VII [1799].
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950 €
First edition, first issue with the errata at the verso of page vii.
"Monge is regarded as the creator of descriptive geometry, for 'it ws he who elegantly and methodically converted the group of graphical procedures used by practionners into a general uniform technique based on simple an rigorous reasoning and methods ...Monge's systematic use of cylindrical projection and, more discreetly, that of central projection, opened the way to the parallel creation of projective and modern geometry' (DSB). It was primarily through Monge's teachings, both at the ephemeral École de l'an III and the École Polytechnique, that descriptive geometry, analytical geometry and differential geometry were established as special fields".(Norman).
MONGE, Gaspard.
Traité élémentaire de statique, à l'usage des écoles de la marine.
Paris, Bachelier, 1826.
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40 €
Sixth edition.
Great mathematician, Monge is considered the father of differential geometry. In 1792 he became minister of the marine. His works "Traité élémentaire de statique, à l'usage des écoles de la marine" show is interest in the concrete application of the theorical works.
MONTEL, Paul.
Leçons sur les séries de polynomes à une variable complexe.
Paris, Gauthier-Villars, 1910.
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30 €
First edition.
Paul Montel (1876-1975), French mathematician, His work focuses on the theory of complex analytic functions.
MONTUCLA, Jean Etienne.
Histoire des Mathématiques, dans laquelle on rend compte de leur progrès depuis leur origine jusqu'à nos jours; où l'on expose le tableau et le développement des principales découvertes dans toutes les parties des Mathématiques, les contestations qui se sont élevées entre les Mathématiciens, et les principaux traits de la vie des plus célèbres.
Paris, Henri Agasse, 1799-1802.
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1500 €
Most complete edition in 4 volumes.
The first edition was published in 2 volumes, Montucla was to complete it with a third but died before its publication. It is Jérôme De La Lande who will finally publish the last two volumes according to Montucla's notes.
A reference on the history of mathematics.
NEVANLINNA, Rolf.
Le Theoreme de Picard-Borel et la Theorie des Fonctions Meromorphes.
Paris, Gauthier-Villars, 1929.
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First edition.
The Picard-Borel theorem refers to a set of theorems in complex analysis that relate to the question of the reach of analytic functions. Simply put, the Picard-Borel theorem states that every non-constant entire function takes on almost every complex value. The theorem was independently proved by Émile Picard and Émile Borel in the early 20th century.
NEWTON, Isaac.
La Méthode des fluxions et des suites infinies.
Paris, De Bure l'ainé, 1740.
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2000 €
First french edition.
Buffon's translation of Method of Fluxions and Infinite Series published a few years earlier. It is one of the last treatises on which Newton worked to explain the method of calculation used in his Principia. The fluxion method is the Newtonian solution of differential calculus problems. It is the counterpart of the method of infinitely small developed by Leibniz.
The fluxion method places Newton among the fathers of infinitesimal calculus.
NEWTON, Isaac.
La Méthode des fluxions et des suites infinies.
Paris, De Bure l'ainé, 1740.
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2500 €
First french edition.
Buffon's translation of Method of Fluxions and Infinite Series published a few years earlier. It is one of the last treatises on which Newton worked to explain the method of calculation used in his Principia. The fluxion method is the Newtonian solution of differential calculus problems. It is the counterpart of the method of infinitely small developed by Leibniz.
The fluxion method places Newton among the fathers of infinitesimal calculus.
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