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Photo VIETE, François. 

VIETE, François. 

Opera mathematica in unum volumen congesta ac recognita, opera atque studio Francisci a Schooten. 

Leyde, ex officina Bonaventura Abraham Elzeviriorum, 1646.
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9500 €

First collective edition of the works of François Viète.
François Viète, a 16th-century French mathematician born in Fontenay-le-Comte in 1540 and died in Paris in 1603, is often hailed as the father of modern algebra.
Indeed, Viète was one of the first mathematicians in Europe to note the parameters of an equation using symbols. His innovative approach and contribution to algebraic notation was particularly influential and opened new ways for solving mathematical problems. In recognition of his contributions, Viète is widely considered one of the greatest mathematicians of his time and his legacy endures in the field of modern mathematics to this day.
This first collective edition features sixteen of Viète's works, including his seminal 'Isagoge in artem analyticam', which introduced his innovative algebraic notation.

Photo GALOIS, Évariste. 

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).

Photo MACLAURIN, Colin. 

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.

Photo SAVARY, Jacques. 

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.

Photo [ARNAULD, Antoine] || [PASCAL, Blaise]. 

[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.

Photo MILLIET DECHALES, Claude François. 

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.

Photo NICERON, Jean-François. 

NICERON, Jean-François. 

La Perspective curieuse ou magie artificielle des effets merveilleux de : L’optique par la vision directe, la catoptrique, par la réflexion des miroirs plats, cylindriques & coniques, la dioptrique, par la réfraction des crystaux. 

Paris, Pierre Billaine, 1638.
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2500 €

First edition.
This work is a treatise on optical illusions and anamorphic perspectives, written by Nicéron, a monk of the order of Minims and mathematician of the 17th century. In it, he explores the principles of geometry applied to perspective, in particular the deformations of images that are only correctly revealed from a certain angle or through a mirror.
La Perspective Curieuse is a major work in the history of visual perception and art, influencing both artists and scientists of its time.
The discussion in the fourth part is particularly famous for being the first reference to the law of refraction developed by Descartes that same year.
A title-frontispiece engraved by Daret.

Photo PASCAL, Blaise. 

PASCAL, Blaise. 

Oeuvres de Blaise Pascal. 

La Haye [Paris], Detune, 1779.
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2500 €

The first and sole ancient collective edition, partially original.

Published by Bossut, this edition is illustrated with a portrait and 14 plates.
Among the unpublished there are many "pensée", writings on Grace, the Treaty of vacuum and and extensive correspondence.
Volumes IV and V contain the scientific works.
We found the second printing of the describing of invention of the computing machine of Descartes (TIV, pages 7-30). The first edition, certainly printed by the author, is unobtainable (only two copies known).
Also of interest here is the reprint of Pascal's 1654 paper introducing his triangle of binominal coefficients (Pascal's Triangle), included in Volume V, pages 1-54. Pascal's invention "predated the concepts of computation of the values of polynomial functions by differences.".

Photo NEWTON, Isaac. 

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.

Photo GROLLIER DE SERVIÈRE, Gaspard. 

GROLLIER DE SERVIÈRE, Gaspard. 

Recueil d'ouvrages curieux de mathématique et de mécanique, ou description du cabinet de Monsieur Grollier de Servière avec des figures en taille douce. 

Lyon, David Forey, 1719.
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2200 €

First edition.
Among the mechanical inventions depicted in Grollier de Serviere's Cabinet are those for propelling ships, making elevations, various kinds of clocks, lamps, mechanical figures, mills, optical contrivances and geometrical instruments.

Photo NEWTON, Isaac. 

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.

Photo AGNESI, Maria Gaetana. 

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.

Photo OZANAM, Jacques. 

OZANAM, Jacques. 

Récréations Mathématiques et Physiques, qui contiennent plusieurs Problêmes d'Arithmétique, de Géometrie, d'Optique, de Gnomonique, de Cosmographie, de Méchanique, de Pyrotechnique, & de Physique. Avec un Traité nouveau des Horloges Elémentaires. 

Paris, Jean Jombert, 1694.
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2000 €

Rare first edition and the first work on "Recreational Mathematics".

Photo CLAVIUS, Christoph. 

CLAVIUS, Christoph. 

Epitome arithmeticae practica. 

Roma, Dominici Basae, 1583.
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1800 €

First edition of this famous textbook.
Among its notable users were René Descartes and Gottfried Leibniz.

Photo PASCAL, Blaise. 

PASCAL, Blaise. 

Oeuvres de Blaise Pascal. 

La Haye [Paris], Detune, 1779.
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1500 €

First and only old collective edition,
Published by Bossut, this edition is illustrated with a portrait and 14 plates.
Among the unpublished there are many "pensée", writings on Grace, the Treaty of vacuum and and extensive correspondence.
Volumes IV and V contain the scientific works.
We found the second printing of the describing of invention of the computing machine of Descartes (TIV, pages 7-30). The first edition, certainly printed by the author, is unobtainable (only two copies known).
Also of interest here is the reprint of Pascal's 1654 paper introducing his triangle of binominal coefficients (Pascal's Triangle), included in Volume V, pages 1-54. Pascal's invention "predated the concepts of computation of the values of polynomial functions by differences.".

Photo MONTUCLA, Jean Etienne. 

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.

Photo ROLLE, Michel. 

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.

Photo BUDAN, Ferdinand. 

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.

Photo POINCARE, Henri || HILBERT, David || HERTZ, Heinrich. 

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).

Photo CAUCHY, Augustin Louis. 

CAUCHY, Augustin Louis. 

Résumés analytiques. 

Turin, Imprimerie royale, 1833.
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1500 €

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.

Photo LA HIRE, Philippe De. 

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.

Photo GAUTHIER, Mr. 

GAUTHIER, Mr. 

Collections mathématiques. 

s.l., s.n., 1806-1807.
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1500 €

Fine copy.

Photo LEURECHON, Jean. 

LEURECHON, Jean. 

Récréation mathématicque composée de plusieurs problèmes plaisants et facétieux en faict d'Arithméticque, Géometrie, Méchanicque, Opticque, et autres parties de ces belles sciences. 

Lyon, Claude Rigaud & Claude Obert, 1627.
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1450 €

The very rare first Lyons edition of this work on physics
récréation which was published for the first time at Pont-à-Mousson in 1624 and reprinted several times.

Photo BEZOUT, Etienne. 

BEZOUT, Etienne. 

Théorie générale des équations algébriques. 

Paris, Ph.-D. Pierres, 1779.
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1400 €

First edition.

Photo CRAMER, Gabriel. 

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.

Photo L’HOSPITAL, Guillaume (Marquis de). 

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.

Photo EULER, Léonard. 

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).

Photo LOBACHEVSKY, Nikolai Ivanovich. 

LOBACHEVSKY, Nikolai Ivanovich. 

Nouveaux principes de la géométrie avec une théorie complète des parallèles. 

Bruxelles, Hayez, 1901.
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1200 €

First edition in french of this the "New Foundations of Geometry with a Complete Theory ol Parallels".

Photo LACROIX, Sylvestre Francois. 

LACROIX, Sylvestre Francois. 

Traité du calcul differentiel et du calcul integral. 

Paris, J.B.M. Duprat, 1797-1798-1800.
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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".

Photo PRESTET, Jean. 

PRESTET, Jean. 

Nouveaux elemens des mathematiques ou principes generaux de toutes les sciences qui ont les grandeurs pour objet. 

Paris, André Pralard, 1689.
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1200 €

Second enlarged edition.
This edition is important because Prestet gives (Volume 1 p.140 to p.150) for the first time his some early work on the fundamental theorem of arithmetic.

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