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JACOBI, C. G. J. - [FIRST ANNOUNCEMENT OF THE JACOBI IDENTITY]

Nova methodus, aequationes differentiales partiales primi ordinis inter numerum variabilium quemcunque propositas integrandi.

lyn48047

Berlin, G. Reimer, 1862. 4to. As extracted from "Journal für die reine und angewandte Mathematik, 60. Band, 1862"., without backstrip. Fine and clean. [Jacobi:] Pp. 1-181. ¶ First printing of this seminal publication which containing the first Jacobi Identity. In mathematics the Jacobi identity is a property that a binary operation can satisfy which determines how the order of evaluation behaves for the given operation. Unlike for associative operations, order of evaluation is significant for operations satisfying Jacobi identity.

"Most of Jacobi's fundamental research articles in the theory of elliptic functions, mathematical analysis, number theory, geometry, and me-chanics were published in Crelle's Journal fue die reine and angewandte Mathematik. With an average of three articles per volume, Jacobi was one of its most active contributors and quickly helped to establish its international fame. Yet his tireless occupation with research did not impair his teaching. On the contrary- never satisfied to lecture along trodden paths, Jacobi presented the substance of his own investigations to his students. He would lecture up to eight or ten hours a week on his favorite subject, the theory of elliptic functions, thus demanding the utmost from his listeners. He also inaugurated what was then a complete novelty in mathematics-research seminars-assembling the more advanced students and attracting his nearest colleagues." (DSB).

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