Peano

Tutto ha inizio con una ragazzina che gioca nella neve. Si chiama Sonia, sono le vacanze di Natale del 1996 – quelle della grande nevicata – e lei deve passarle suo malgrado a casa della nonna. Siamo a Lanzo Torinese, un paesino di mezza montagna dove ogni cosa sembra rimasta ferma a cinquant’anni prima. Compresa la casa cigolante e ingombra di mobili in cui vive nonna Ada, schiva, severa vecchia che nella zona ha fama di guaritrice (ma chissà, forse è altro), per la quale Sonia prova un affetto distante. La scuola ha chiuso prima del previsto a causa di quello che tutti chiamano “l’incidente”: la professoressa Cardone, acida insegnante di italiano, si è trincerata nella sua aula e durante una lezione – di fronte a una classe segregata e terrorizzata – ha fatto qualcosa di indicibile..

This book provides a collection of chapters on the development of scientific philosophy and symbolic logic in the early twentieth century. The turn of the last century was a key transitional period for the development of symbolic logic and scientific philosophy. The Peano school, the editorial board of the Revue de Métaphysique et de Morale, and the members of the Vienna Circle are generally mentioned as champions of this transformation of the role of logic in mathematics and in the sciences. The scholarship contained provides a rich historical and philosophical understanding of these groups and research areas. Specifically, the contributions focus on a detailed investigation of the relation between structuralism and modern mathematics. In addition, this book provides a closer understanding of the relation between symbolic logic and previous traditions such as syllogistics. This volume also informs the reader on the relation between logic, the history and didactics in the Peano School. This edition appeals to students and researchers working in the history of philosophy and of logic, philosophy of science, as well as to researchers on the Vienna Circle and the Peano School.

This book exposition of the views of Frege, Dedekind and Peano on the foundations of arithmetic.

The Italian mathematician Mario Pieri (1860–1913) played a major role in the development of algebraic geometry and foundations of mathematics around the turn of the twentieth century. This volume is the second in a series intended to make Pieri’s research in diverse fields—mathematical logic and philosophy of mathematics, foundations of projective, inversive, and elementary geometry, algebraic and differential geometry, and vector analysis—accessible to today’s scholars and to assess its importance (yet little recognized) in historical and modern contexts.

This book applies a step-by-step treatment of the current state-of-the-art of ordinary differential equations used in modeling of engineering systems/processes and beyond. It covers systematically ordered problems, beginning with first and second order ODEs, linear and higher-order ODEs of polynomial form, theory and criteria of similarity, modeling approaches, phase plane and phase space concepts, stability optimization and ending on chaos and synchronization.

Calcolo Geometrico, G. Peano's first publication in mathematical logic, is a model of expository writing, with a significant impact on 20th century mathematics. Kannenberg's lucid and crisp translation, Geometric Calculus, will appeal to historians of mathematics, researchers, graduate students, and general readers interested in the foundations of mathematics and the development of a formal logical language.