Giornale di Matematiche

Contents

Giornale di Matematiche is an Italian mathematical journal founded in the 19th century that has published research, notes, and reviews across areas of pure and applied Gauss-era and modern mathematics. The periodical has connected figures from the Italian school such as Benedetto Castelli-era successors to later generations including Vito Volterra, Tullio Levi-Civita, Federigo Enriques, Giuseppe Peano, and international contributors like Henri Poincaré, David Hilbert, Emmy Noether, Sofia Kovalevskaya, and Felix Klein.

History

Founded in 1863 during the era of Italian unification alongside institutions such as Università di Pisa, Università di Bologna, and Università di Padova, the journal emerged amid dialogues involving Camillo Benso, Count of Cavour, Giuseppe Garibaldi, and intellectual patrons connected to the Accademia dei Lincei. Early volumes documented exchanges between mathematicians of the Italian school of algebraic geometry including Guido Castelnuovo, Federigo Enriques, and Francesco Severi, and recorded commentary referencing works by Augustin-Louis Cauchy, Carl Gustav Jacob Jacobi, Niels Henrik Abel, and Évariste Galois. Through the late 19th and early 20th centuries it paralleled developments appearing in Journal für die reine und angewandte Mathematik, Annalen der Mathematik, Acta Mathematica, and Bulletin des Sciences Mathématiques, interacting with correspondence networks that included Bernhard Riemann, Leopold Kronecker, Sofia Kovalevskaya, and Camille Jordan.

The journal persisted through tumultuous periods such as World War I and World War II, maintaining publication alongside disruptions affecting University of Milan, Sapienza – Università di Roma, Politecnico di Milano, and national academies; its pages show responses to shifting paradigms represented by Emmy Noether, André Weil, Hermann Weyl, Élie Cartan, and later Alexander Grothendieck. Postwar recovery connected contributors from Princeton University, University of Cambridge, École Normale Supérieure, and Institute for Advanced Study into collaborations with Italian scholars including Enrico Bombieri and Lucio Lombardo-Radice.

Editorial leadership historically included prominent Italian mathematicians drawn from faculties at Università di Roma La Sapienza, Università di Torino, Università di Napoli Federico II, and Università di Firenze, with editors who were contemporaries of Vito Volterra, Tullio Levi-Civita, and Federigo Enriques. The roster of contributors features leading figures like Giuseppe Peano, Eugenio Beltrami, Luigi Bianchi, Riccardo Bellman, Michele de Franchis, Carlo Severini, and international names such as Henri Poincaré, David Hilbert, Felix Klein, Emmy Noether, Stefan Banach, John von Neumann, Élie Cartan, and Andrey Kolmogorov. Guest editors and commentators have included scholars affiliated with Massachusetts Institute of Technology, Harvard University, University of Oxford, University of Cambridge, ETH Zurich, and Institut des Hautes Études Scientifiques.

Contributors have spanned specialties represented by figures like Gianfranco Cimmino and Vittorio Galletti alongside international collaborators such as Paul Erdős, Alfréd Rényi, Norbert Wiener, Kurt Gödel, Alan Turing, and Claude Chevalley. The journal has published obituary notices and memorials for mathematicians including Eugenio Elia Levi, Federigo Enriques, Guido Castelnuovo, and Francesco Severi.

The journal covers topics historically central to European mathematics: algebraic geometry as studied by Guido Castelnuovo and Federigo Enriques; differential geometry in the tradition of Tullio Levi-Civita and Gregorio Ricci-Curbastro; number theory following work by Enrico Bombieri, G. H. Hardy, Srinivasa Ramanujan, and Carl Friedrich Gauss; analysis inspired by Bernhard Riemann, Augustin-Louis Cauchy, Pierre-Simon Laplace, and Joseph Fourier; topology reflecting contributions from Henri Poincaré, L. E. J. Brouwer, and Henri Lebesgue; and applied mathematics tied to Vito Volterra, Umberto Ricci, and Leonida Tonelli.

Articles include original research papers, survey articles, historical notes that reference figures such as Girolamo Cardano and Leonhard Euler, and translations of milestone works by Évariste Galois, Niels Henrik Abel, and Carl Gustav Jacob Jacobi. The journal has hosted expository treatments on topics influenced by André Weil, Alexander Grothendieck, Jean-Pierre Serre, Nicholas Bourbaki, John Milnor, and Michael Atiyah.

Published originally by Italian academic presses with later association to organizations like Unione Matematica Italiana and Italian university presses at Università di Padova and Università di Bologna, the periodical circulated through library networks such as Biblioteca Nazionale Centrale di Firenze, Biblioteca Ambrosiana, and international repositories including British Library, Bibliothèque nationale de France, Library of Congress, and Deutsche Nationalbibliothek. Subscriptions reached readers at institutions including Scuola Normale Superiore di Pisa, Istituto Nazionale di Alta Matematica Francesco Severi, CNR laboratories, and foreign universities like Princeton University, University of Cambridge, École Polytechnique, and Sorbonne University.

Publication schedules adapted across eras, shifting frequency and format in response to events involving First Italian War of Independence, Risorgimento, World War I, and World War II, and later through modernization driven by digital initiatives at institutions such as arXiv-linked archives, Zentralblatt MATH, and Mathematical Reviews indexing.

The journal influenced the formation of the Italian mathematical tradition alongside contributions to international debates involving Hilbert's problems, Poincaré conjecture, Riemann hypothesis, and the development of algebraic geometry and functional analysis through work resonant with Emmy Noether, André Weil, Alexander Grothendieck, John von Neumann, and Norbert Wiener. Its historical notes and translations aided dissemination of works by Évariste Galois, Carl Friedrich Gauss, and Niels Henrik Abel within Italian scholarship, while research articles contributed to advances later cited by scholars such as Enrico Bombieri, Michael Atiyah, Jean-Pierre Serre, Alexander Grothendieck, and Pierre Deligne.

Critical reception varied by period, with contemporary reviews and citations appearing in venues like Acta Mathematica, Annals of Mathematics, Journal of the American Mathematical Society, and Bulletin of the American Mathematical Society, and with institutional recognition from bodies including Accademia Nazionale dei Lincei and Unione Matematica Italiana. The journal's archives are used by historians of mathematics researching figures like Giuseppe Peano, Federigo Enriques, Eugenio Beltrami, and Tullio Levi-Civita.

Category:Mathematics journals