The Legacy of Mario Pieri in Geometry and Arithmeticby Ivor Grattan-Guinness One of the distortions in most kinds of history is an imbalance between the study devoted to major figures and to lesser ones, concerning both achievements and influence: the Great Ones may be studied to death while the others are overly ignored and thereby remain underrated. In my own work in the history of mathematics I have noted at least a score of outstanding candidates for neglect, of whom Mario Pieri (1860–1913) is one. A most able contributor to geometry, arithmetic and mathematical analysis, and mat- matical logic during his rather short life, his work and its legacy are not well known. The main reason is that Pieri worked “in the shadow of giants,” to quote one of the authors 1 of this volume. Born into a scholarly family in Lucca, Pieri was educated briefly at the University of Bologna and principally at the prestigious Scuola Normale Superiore, in Pisa; under the influence of Luigi Bianchi (1856–1928) he wrote there his doctoral dissertations on al- braic and differential geometry. During his twenties came appointments in Turin, first at the military academy and then also at the university, where he fell under the sway of Corrado Segre (1863–1924) in algebraic geometry, and Giuseppe Peano (1858–1932) in the foundations of arithmetic, mathematical analysis, and mathematical logic. From 1900 to 1908 he held a chair at the University of Catania before moving to Parma, where he died from cancer. |
Contents
9 | |
Enrico DOvidio | 21 |
Eugenio Bertini | 30 |
Virginia Pieri and Paolo Anastasio | 37 |
Angiolina Pieri | 45 |
Corrado Segre | 55 |
Foundations of Geometry | 123 |
Mario Pieri | 130 |
David Hilbert | 275 |
Foundations of Arithmetic | 289 |
Hermann Grassmann | 295 |
Giuseppe Peano 303 339 | 303 |
Pieris Impact | 331 |
Bertrand Russell | 339 |
Alfred Tarski 2 portraits | 359 |
Pieris Works 373 | 372 |
G K C von Staudt | 136 |
August F Möbius | 144 |
Gino Loria | 152 |
Pieris Point and Sphere Memoir | 157 |
Bibliography | 401 |
420 | |
463 | |
Other editions - View all
The Legacy of Mario Pieri in Geometry and Arithmetic Elena Anne Marchisotto,James T. Smith No preview available - 2011 |
The Legacy of Mario Pieri in Geometry and Arithmetic Elena Marchisotto,Elena Anne Marchisotto,James T. Smith No preview available - 2007 |
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