Ending 2000 Years of Stagnation in the Theory of Prime Numbers : Mémoire sur les nombres premiers . (lu le 6 septembre 1850).

Langue : français

Edité par Académie impériale des sciences de St.-Pétersbourg, St. Petersburg (Russ.), (1850), 1854.

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Quart (300 x 225 mm). Sewn under paper spine. Collation: 1 f., pp. (17)-33, + 1 blank page (includes also an alternative pagination for the paper itself, which was published as part of the series Mémoires présentés a lAcadémie impériale des sciences de St. Petersbourg par divers savants et lus dans ses assemblées, tome VII). Second leaf with the stamp of a dispersed Soviet library to lower outer margin (not affecting the text), upper right corner very faintly stained. In very good condition. [Mémoires de l'Académie Impériale des Sciences de St.-Pétersbourg.; vol. VII, pt. II]. - First edition. One of the major contributions of the founder of the St. Petersburg school of mathematics, ending a stagnation in the theory of prime numbers (by proving Bertrand's postulate) that since Euclide had lasted for two milleniums. "Soon after Chebyshev moved to St. Petersburg, he was hired by Bunyakovski to work on the new edition of Euler's works on the theory of numbers that had been undertaken by the Academy of Sciences. This edition (Commentationes arithmeticae collectae, 2 vols. [St. Petersburg, 1849]) comprised not only all of Euler's previously published papers on the subject but also numerous manuscripts from the Academy's archives; in addition Bunyakovski and Chebyshev contributed a valuable systematic review of Euler's arithmetical works. Probably this work partly inspired Chebyshev's own studies on the theory of numbers; these studies and the investigations of Chebyshev's disciples advanced the theory of numbers in Russia to a level as high as that reached a century before by Euler. Some problems of the theory of numbers had been challenged by Chebyshev earlier, however, in his thesis pro venia legendi. He devoted to the theory of numbers his monograph Teoria sravneny ('Theory of Congruences'), which he submitted for a doctorate in mathematics. He defended it at Petersburg University on 27 May 1849 and a few days later was awarded a prize for it by the Academy of Sciences. Chebyshev's systematic analysis of the subject was quite independent and contained his own discoveries; it was long used as a textbook in Russian universities. It also contained the first of his two memoirs on the problem of distribution of prime numbers and other relevant problems; the second memoir [offered here], submitted to the Academy of Sciences in 1850, appeared in 1852. Through these two works, classics in their field, Chebyshev's name became widely known in the scientific world. Later Chebyshev returned only seldom to the theory of numbers" (DSB). - [00B | SOD | oR ] 80 g.…

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Détails bibliographiques

Titre
Ending 2000 Years of Stagnation in the Theory of Prime Numbers : Mémoire sur les nombres premiers . (lu le 6 septembre 1850).
Auteur
Chebyshev, Pafnuty Lvovich (Pafnuti Lwowitsch Tschebyschow/Tchebychew) (auth.)
Éditeur
Académie impériale des sciences de St.-Pétersbourg, St. Petersburg (Russ.), (1850), 1854.
Langue
français
Poids de l'article
80 grammes
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ASTRONOMIE, MATHEMATIK, PHYSIK - astronomy, mathematics, physics

Antiquariat Stefan Wulf

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