Petrovsky, I. G. Lectures on the Theory of Ordinary Differential Equations (Lektsii po teorii obyknovennykh differentsial'nykh uravneniy). First edition, 1939. In Russian.

Petrovsky, I. G. Lectures on the Theory of Ordinary Differential Equations (Lektsii po teorii obyknovennykh differentsial'nykh uravneniy). First edition, 1939. In Russian.

$120.00
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Petrovsky, I. G. Lectures on the Theory of Ordinary Differential Equations (Lektsii po teorii obyknovennykh differentsial'nykh uravneniy). First edition, 1939. In Russian.
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Petrovsky, I. G. Lectures on the Theory of Ordinary Differential Equations (Lektsii po teorii obyknovennykh differentsial'nykh uravneniy). First edition, 1939. In Russian.

$120.00

Петровский И. Г. Лекции по теории обыкновенных диференциальных уравнений. — Первое прижизненное издание. — Москва; Ленинград: Государственное объединённое научно-техническое издательство (ГОНТИ), Редакция технико-теоретической литературы, 1939. — 144 с. Твёрдый коленкоровый переплёт, обычный формат. Тираж 7000 экз. 
Переплёт потёрт, золотое тиснение значительно выцвело, корешок и углы потёрты, форзацы и страницы со временным пожелтением, мелкие надрывы по краю переднего форзаца и предисловия; блок крепкий, все страницы на месте, текст чистый, без помет.
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Petrovsky I. G. Lectures on the Theory of Ordinary Differential Equations. — First lifetime edition. — Moscow; Leningrad: State United Scientific-Technical Publishing House (GONTI), Department of Technical-Theoretical Literature, 1939. — 144 pp. Hardcover binding in dark blue-black cloth with gilt type-stamped title and author on upper board, standard format. Print run 7,000 copies. 
Condition: Binding rubbed, gilt lettering significantly faded, spine and corners worn, endpapers and pages age-toned, small edge tears to front endpaper and preface leaf; text block tight, complete, clean throughout, no annotations.

This is the first lifetime edition of one of the foundational Soviet textbooks of mathematical analysis, written by Ivan Georgievich Petrovsky (1901–1973) — among the most influential mathematicians of the twentieth century, founder of the modern theory of partial differential equations, and Rector of Moscow State University from 1951 until his death. The lectures, as Petrovsky explains in the preface dated 1939, were delivered first at Saratov State University in the academic year 1936/37 and shortly afterward (with minor revisions) to mathematics students of the Faculty of Mechanics and Mathematics at MGU. Petrovsky deliberately departed from the encyclopaedic enumeration of integration tricks then standard in Russian-language texts; he chose instead a small set of central questions — existence, uniqueness, and continuous dependence of solutions on initial data — and developed them with the structural rigour that would soon characterize all of Soviet mathematical pedagogy. The author thanks A. I. Barabanov, whose lecture notes underlay the first twenty-one paragraphs, as well as V. V. Stepanov, S. A. Galpern and A. D. Myshkis, who reviewed the manuscript. The book passed through many subsequent editions, but the 1939 GONTI imprint is the original and is decidedly scarce, particularly in unrestored cloth bindings; the volume's modest physical wear is more than balanced by its place in the lineage of Russian analysis from Lyapunov and Steklov to Kolmogorov, Petrovsky, and Sobolev.

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