Dirichlet by Uta C. Merzbach
Author:Uta C. Merzbach
Language: eng
Format: epub
ISBN: 9783030010737
Publisher: Springer International Publishing
12.1 The University
Once arrived in Berlin, it was time for Dirichlet to resume university business and exchange news of their most recent research results with Jacobi who had assumed his new position as resident reading member of the Akademie in Berlin upon his return in 1844.
Jacobi wrote his brother during the summer of 1845 that, having been unable to accomplish much since 1839, he was now intensely involved with his mathematical investigations. Jacobiâs improvement may have been the result at least partly of his receiving continuing diabetic counseling and polarimetric measurements. After the measurements taken in Königsberg by Franz Neumann, in Berlin the polarimetric tests would be continued by the chemists Eilhard Mitscherlich and Heinrich Rose. On the first of June, Jacobi wrote to Bessel that he and Dirichlet saw each other daily. We surmise that Dirichlet could discuss with him his recent work on potential theory, his expansion of number-theoretic studies to the determination of mean values, and his proposal of the division problem.
Dirichletâs classes during the decade from summer 1845 to summer 1855 predominantly dealt with applications of the theory of the integral calculus. These ranged from applications to number theory, probability, the study of series, and problems of attraction, to partial differential equations.
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