LOBACHEVSKY (NICKOLAI IVANOVICH)

Ponizhenie stepeni v dvuchlenom uravnenii kogda pokasatel bes edinitsy delitisia na 8, in Ucheniyia Zapiski, izdavaemyia Imperatorskim Kazanskim Universitetom, FIRST EDITION, Kazan, University Printer, 1834

Ponizhenie stepeni v dvuchlenom uravnenii kogda pokasatel bes edinitsy delitisia na 8, in Ucheniyia Zapiski, izdavaemyia Imperatorskim Kazanskim Universitetom, FIRST EDITION, printed on laid paper, partially uncut in publisher's blue printed wrappers, one blank corner of lower cover torn away, spine worn with some losses, preserved in purpose-made solander box [Engel 5; Kagan 5], 8vo, Kazan, University Printer, 1834

Very rare first edition of the first appearance of an important paper on a method of approximating the roots of algebraic equations by the Russian mathematician Nikolai Ivanovich Lobachevsky (1792-1856), published in the first issue of the periodical of "Scientific Memoirs" founded by him. His work on the Non-Euclidean geometry and mathematics "for the most part paralleled that of other European mathematicians. It is, for example, worth noting that in his algebra Lobachevsky suggested a method for separating roots of equation by their repeated squaring, a method coincident with that suggested by Dandelin in 1826 and by Gräffe in 1837" (DSB). Lobachevsky also wrote the preface to this first issue of the periodical, outlining his aims and purpose for publishing it.