La naissance du calcul différentiel: 26 articles des "Acta Eruditorum"

Couverture
En 1684 le tout nouveau periodique edite a Leipzig, les Acta Eruditorum, publie le texte fondateur du calcul leibnizien: Nova methodus pro maximis et minimis. Ce n'etait pas le premier article de Leibniz dans cette revue et ce ne sera pas le dernier. De 1682 a 1713 s'echelonnent des publications, aujourd'hui classiques, sur l'Isochrone, la Chainette, la Brachystochrone, etc. Ce volume en reunit vingt-six, en majorite traduites pour la premiere fois en langue francaise. Leur selection fut essentiellement guidee par la volonte de mettre a la portee du lecteur les principaux ecrits mathematiques de Leibniz consacres au calcul differentiel et integral. Outre les resultats scientifiques, on decouvrira dans ces textes l'interet epistemologique de Leibniz pour l'invention, la methode, l'histoire et son souci d'une ethique de la recherche.
 

Avis des internautes - Rédiger un commentaire

Aucun commentaire n'a été trouvé aux emplacements habituels.

Table des matières

PRÉFACE
11
AVERTISSEMENT
53
De vera proportione Circuli ad Quadratum circumscriptum in Numeris
118
Additio ad schedam de dimensionibus Figurarum inveniendis A
126
De linea isochrona in qua grave sine acceleratione descendit et
154
Ad ea quae vir clarissimus J B mense Majo in his Actis publicavit
166
De Geometria recondita et Analysi Indivisibilium atque infinitorum A
226
De Linea in quam flexile se pondere proprio curvat ejusque usu insigni
243
Constructio propria Problematis de Curva isochrona paracentrica ubi
309
Notatiuncula ad constructiones lineae in qua Sacoma aequilibrium
318
De Lineis Opticis et alia A E Janvier 1689 M S VII p 329
329
Geometris publice propositi una cum solutione sua Problematis alterius
331
Additio ad hoc schediasma
335
G G Leibnitii Responsio ad Dn Nic Fatii Duillerii imputationes Accessit
340
Specimen novum Analyseos pro Scientia infiniti circa Summas
350
Continuatio Analyseos Quadraturarum Rationalium A E Janvier 1703
361

De solutionibus Problematis Catenarii vel Funicularis in Actis Junii
255
De linea ex lineis numero infinitis ordinatim ductis inter se concurrentibus
266
Generalia de Natura linearum Anguloque contactus et osculi
279
Supplementum Geometriae practicae sese ad problemata transcendentia
285
Supplementum Geometriae dimensoriae seu generalissima omnium
294
Nova Calculi differentialis applicatio et usus ad multiplicem linearum
301
Symbolismus memorabilis Calculi Algebraici et Infinitesimalis
377
TABLE DES FIGURES
453
INDEX DES NoMs PROPRES
463
BIBLIOGRAPHIE
469
Droits d'auteur

Expressions et termes fréquents

À propos de l'auteur (1989)

Gottfried Wilhelm Leibniz, one of the last real polymaths, was born in Leipzig. Educated there and at the Universities at Jena and Altdorf, he then served as a diplomat for the Elector of Mainz and was sent to Paris, where he lived for a few years and came into contact with leading scientists, philosophers, and theologians. During a trip to England, he was elected to the Royal Society; he made a visit to Holland to meet Spinoza. Back in Germany he became librarian to the Duke of Brunswick, whose library was the largest in Europe outside the Vatican. From there he became involved in government affairs in Hanover and later settled in Berlin at the court of Queen Sophie Charlotte of Prussia. Leibniz was involved in the diplomatic negotiations that led to the Hanoverian succession to the English throne. From his university days he showed an interest in mathematics, logic, physics, law, linguistics, and history, as well as theology and practical political affairs. He discovered calculus independently of Newton and had a protracted squabble about which of them should be given credit for the achievement. The developer of much of what is now modern logic, he discovered some important physical laws and offered a physical theory that is close to some twentieth-century conceptions. Leibniz was interested in developing a universal language and tried to master the elements of all languages. Leibniz corresponded widely with scholars all over Europe and with some Jesuit missionaries in China. His philosophy was largely worked out in answer to those of other thinkers, such as Locke, Malebranche, Bayle, and Arnauld. Although he published comparatively little during his lifetime, Leibniz left an enormous mass of unpublished papers, drafts of works, and notes on topics of interest. His library, which has been preserved, contains annotations, analyses, and often refutations of works he read. The project of publishing all of his writings, undertaken in the 1920s by the Prussian Academy, was delayed by World War II but was resumed thereafter. It is not likely that the project will be completed in the twentieth century.

Informations bibliographiques