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Gian-Carlo Rota on Analysis and Probability - Selected Papers and Commentaries (Hardcover, 2003 ed.)
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Gian-Carlo Rota on Analysis and Probability - Selected Papers and Commentaries (Hardcover, 2003 ed.)
Series: Contemporary Mathematicians
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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].
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