The Legacy of Mario Pieri in Geometry and Arithmetic

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Springer Science & Business Media, 5 de des. 2007 - 494 pàgines
by 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.
 

Continguts

Portraits
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
Permissions 459
420
Index
463
Copyright

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