19 November 2003
LOBACHEVSKII, Nikolai Ivanovitch (1792-1856). Ob izchezanii trigonometricheskikh strok [On the Convergence of Trigonometrical Series], in: Uchenye zapiski [volume I], part II, Kazan: The University Press, 1834.
8° (219 x 132mm). Volume I, part II title, pp.168-328, contents leaf. One folding engraved plate. (Scattered light spotting, plate with 2 small holes touching border of plate and neatly-repaired tear touching image.) Late 19th-century half roan, spine lettered in gilt, original blue, printed wrappers with woodcut borders and ornament bound in (extremities lightly rubbed, slight cracking on upper joint, endpapers replaced). Provenance: Prince Alexsandr Nikolaeivich Golitsyn (armorial inkstamp on title) -- M.I. Kaurovskii, [?]Tusmin (blindstamps).
FIRST EDITION. AN EARLY, NON-GEOMETRICAL PAPER BY LOBACHEVSKII. Lobachevskii studied at Kazan University, where he remained as a lecturer after he received his master's degree in 1812, becoming an extraordinary professor in 1814 and subsequently holding a series of positions, including that of rector, at the university throughout his life. This paper, published in the scientific memoirs of the university -- which were founded by Lobachevskii -- is from the earlier part of his career, when subjects other than the non-Euclidean geometry for which he is celebrated absorbed his energies. His exploration of the foundations of mathematics led him to concentrate on the fields of alegbra and the theoretical aspects of infinite series, which are examined in the present work.
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