Gian-Carlo Rota on Analysis and Probability

Selected Papers and Commentaries

By:

Jean Dhombres

Format:

Paperback / softback

Series:

Contemporary Mathematicians

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Description

Gian-Carlo Rota was born in Vigevano, Italy, in 1932. He died in Cambridge, Mas sachusetts, in 1999. He had several careers, most notably as a mathematician, but also as a philosopher and a consultant to the United States government. His mathe matical career was equally varied. His early mathematical studies were at Princeton (1950 to 1953) and Yale (1953 to 1956). In 1956, he completed his doctoral thesis under the direction of Jacob T. Schwartz. This thesis was published as the pa per "Extension theory of differential operators I", the first paper reprinted in this volume. Rota's early work was in analysis, more specifically, in operator theory, differ ential equations, ergodic theory, and probability theory. In the 1960's, Rota was motivated by problems in fluctuation theory to study some operator identities of Glen Baxter (see [7]). Together with other problems in probability theory, this led Rota to study combinatorics. His series of papers, "On the foundations of combi natorial theory", led to a fundamental re-evaluation of the subject. Later, in the 1990's, Rota returned to some of the problems in analysis and probability theory which motivated his work in combinatorics. This was his intention all along, and his early death robbed mathematics of his unique perspective on linkages between the discrete and the continuous. Glimpses of his new research programs can be found in [2,3,6,9,10].

Release date NZ

September 16th, 2011

Author

Jean Dhombres

Audience

Professional & Vocational

Contributors

Edited by Joseph P.S. Kung
Edited by Norton Starr

Edition

Softcover reprint of the original 1st ed. 2003

Illustrations

XXX, 382 p.

Pages

382

Series

Contemporary Mathematicians

Dimensions

178x254x22

ISBN-13

9781461274025

Product ID

21702238

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