The Legacy of Mario Pieri in Geometry and Arithmetic [Hardcover]

This book is the first in a series of three volumes that comprehensively examine Mario Pieris life, mathematical work and influence. The book introduces readers to Pieris career and his studies in foundations, from both historical and modern viewpoints.

Included in this volume are the first English translations, along with analyses, of two of his most important axiomatizations  one in arithmetic and one in geometry. The book combines an engaging exposition, little-known historical notes, exhaustive references and an excellent index. And yet the book requires no specialized experience in mathematical logic or the foundations of geometry.

This book is the first in a series of three volumes that comprehensively examine Mario Pieris life, mathematical work and influence. The book introduces readers to Pieris career and his studies in foundations, from both historical and modern viewpoints.

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 (18601913) 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 (18561928) he wrote there his doctoral dissertations on al- braic and differential geometry. During lÃB