The renewal of mathematical research in Italy: the correspondences between Brioschi-Betti (1857--1890) and Brioschi-Tardy (1853--1893) (Q2314087)

The paper studies the correspondences of Francesco Brioschi with Enrico Betti and Placido Tardy in the second half of the nineteenth century. The study is expanded to include letters between the three Italian mathematicians with their foreign colleagues. The mathematical research discussed in their correspondences is analyzed. They include the theory of invariants of binary forms, the resolution of fifth degree algebraic equations by elliptic functions, and the theory of fractional integrals. The paper describes the frequent journeys undertaken by Italian scholars abroad, as well as those of foreign scholars to Italy. One section of the paper is devoted to the important role played by the publishing of scientific journals in the process of the renewal of mathematical research in Italy. For the entire collection see [Zbl 1411.01011].