From Combinatorics to Philosophy: The Legacy of G.-C. Rota

ISBN-13: 9780387887524 / Angielski / Twarda / 2009 / 280 str.

Ernesto Damiani; Ottavio D'Antona; Vincenzo Marra

Opis

From Combinatorics to Philosophy: The Legacy of G. -C. Rota provides an assessment of G. -C. Rota's legacy to current international research issues in mathematics, philosophy and computer science.

This volume includes chapters by leading researchers, as well as a number of invited research papers. Rota's legacy connects European and Italian research communities to the USA by providing inspiration to several generations of researchers in combinatorics, philosophy and computer science.

From Combinatorics to Philosophy: The Legacy of G. -C. Rota is of valuable interest to research institutions and university libraries worldwide. This book is also designed for advanced-level students in mathematics, computer science, and philosophy.

Spis treści

Gian-Carlo Rota, the Man.- Gianco, my Brother.- Remembering Gian-Carlo Rota.- Gian-Carlo Rota, the Mathematician.- A Glimpse of Vector Invariant Theory. The Points of View of Weyl, Rota, De Concini and Procesi, and Grosshans.- Partitions of a Finite Partially Ordered Set.- An Algebra of Pieces of Space — Hermann Grassmann to Gian Carlo Rota.- The Eleventh and Twelveth Problems of Rota’s Fubini Lectures: from Cumulants to Free Probability Theory.- Two Examples of Applied Universal Algebra.- On the Euler Characteristic of Finite Distributive Lattices.- Rota, Probability, Algebra and Logic.- A Symbolic Treatment of Abel Polynomials.- Gian-Carlo Rota, the Philosopher.- Ethics in Thought. Gian-Carlo Rota and Philosophy.- Indiscrete Variations on Gian-Carlo Rota’s Themes.- On the Courage Needed to Do Phenomenology. Rota and Analytic Philosophy.- Rota’s Philosophical Insights.- “A Minority View” Gian-Carlo Rota’s Phenomenological Realism.

O autorze

Ernesto Damiani is a professor at the Department of Information Technology of the University of Milan. He is the Vice-Chair of the ACM Special Interest Group on Applied Computing (SIGAPP).