The Italian mathematician Mario Pieri (1860-1913) played an
integral part in the research groups of Corrado Segre and Giuseppe
Peano, and thus had a significant, yet somewhat underappreciated
impact on several branches of mathematics, particularly on the
development of algebraic geometry and the foundations of
mathematics in the years around the turn of the 20th century. This
book is the first in a series of three volumes that are dedicated
to countering that neglect and comprehensively examining Pieria
(TM)s life, mathematical work and influence in such diverse fields
as mathematical logic, algebraic geometry, number theory, inversive
geometry, vector analysis, and differential geometry.
The Legacy of Mario Pieri in Geometry and Arithmetic introduces
readers to Pieria (TM)s career and his studies in foundations, from
both historical and modern viewpoints, placing his life and
research in context and tracing his influence on his contemporaries
as well as more recent mathematicians. The text also provides a
glimpse of the Italian academic world of Pieri's time, and its
relationship with the developing international mathematics
community. Included in this volume are the first English
translations, along with analyses, of two of his most important
axiomatizationsa "his postulates for arithmetic, which Peano judged
superior to his own; and his foundation of elementary geometry on
the basis of point and sphere, which Alfred Tarski used as a basis
for his own system.
Combining an engaging exposition, little-known historical
information, exhaustive references and an excellent index, this
text will be of interest to graduate students, researchers and
historians with a general knowledgeof logic and advanced
mathematics, and it requires no specialized experience in
mathematical logic or the foundations of geometry.
General
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