On the role of Giovanni Giorgi in the history of operational methods to mathematical-physics problems
Abstract
In this paper we discuss the historical role played by Prof. Giovanni Giorgi (1871-1950) in the development of operational methods in mathematical physics. In the literature, the analysis of the scientific contributions of Giorgi is discussed in many historical papers mainly about the MKSΩ-system and its contributions in the field of electrical engineering. Starting from the obituary written by Prof. Dario Graffi (1905-1990), here we analyze in detail the contributions given by Giorgi in mathematical physics, especially in the framework of the studies started by Heaviside (1850-1925) in order to obtain a symbolic representation of the solutions of differential equations emerging in physical problems. \\ Moreover, we underline the little known contribution of Giorgi to the analysis of derivatives of any real order, namely fractional derivatives, according to the present notation. \\ The main aim of this note is to underline the historical relevance of Giorgi in the mathematical foundations of operational methods in relation to the solutions of concrete problems emerging in applied physics.
Related
- Development and operational deployment of a staff rostering system using mathematical optimisation in a municipal water utility
- Open Problems in Mathematical Logic
- Average Energy Dissipation Rates of Implicit-Explicit Runge-Kutta Methods for Gradient Flow Problems
- Advancements in Spectral Collocation Methods for High-Order Eigenvalue Problems
- Single-call Polyak-Type Extragradient Methods for Monotone Root-Finding Problems
BibTeX
@misc{garra2026role,
title = {{On the role of Giovanni Giorgi in the history of operational methods to mathematical-physics problems}},
author = {R. Garra and F. Mainardi},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2608.15575},
eprint = {2608.15575},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.15575},
}
RIS
TY - UNPB
TI - On the role of Giovanni Giorgi in the history of operational methods to mathematical-physics problems
AU - R. Garra
AU - F. Mainardi
PY - 2026
DA - 2026/09/12
PB - arXiv
DO - 10.48550/arxiv.2608.15575
UR - https://arxiv.org/abs/2608.15575
AB - In this paper we discuss the historical role played by Prof. Giovanni Giorgi (1871-1950) in the development of operational methods in mathematical physics. In the literature, the analysis of the scientific contributions of Giorgi is discussed in many historical papers mainly about the MKSΩ-system and its contributions in the field of electrical engineering. Starting from the obituary written by Prof. Dario Graffi (1905-1990), here we analyze in detail the contributions given by Giorgi in mathematical physics, especially in the framework of the studies started by Heaviside (1850-1925) in order to obtain a symbolic representation of the solutions of differential equations emerging in physical problems. \\ Moreover, we underline the little known contribution of Giorgi to the analysis of derivatives of any real order, namely fractional derivatives, according to the present notation. \\ The main aim of this note is to underline the historical relevance of Giorgi in the mathematical foundations of operational methods in relation to the solutions of concrete problems emerging in applied physics.
ER -