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Mathematics

Results (181 - 186) of 186
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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.

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 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 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 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 COURNOT, Augustin. 

COURNOT, Augustin. 

Recherches sur les principes mathématiques de la théorie des richesses. 

Paris, L. Hachette, 1838.
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12500 €

First edition.
Landmark in economic theory.
Cournot is considered a pioneer in mathematical economics. He was among the first to formalize economic theories using mathematical equations.
He proposed basing economic theory not on elementary algebra but on the branch of analysis dealing with arbitrary functions, subject to certain conditions.
His work focused on a theory of price equilibrium in a free market.
Though largely ignored in his time, his research on equilibria between two producers, now known as "Cournot equilibria," would later be generalized under the term "Nash equilibria" or "Nash-Cournot equilibria," earning John Forbes Nash the Nobel Prize in Economics in 1994.

Cournot's work is bound after the following:

URBAIN, Introduction to the Study of Political Economy, Paris, Bossange Père, 1833.

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