This volume consists of selected papers by Gian-Carlo Rota, a rare mathematician who made major contributions to several areas of mathematics. Presented in Part I are his papers in analysis, written at the beginning of his career and having a continuing and pervasive influence today. Part II is devoted to his papers on convexity and probability theory, written towards the end of his career and containing many ideas that have yet to be fully developed. Comprehensive commentaries by experts in the field are included in every chapter. Accessible to both experts and beginners.

Review

"What makes this collection extraordinarily enjoyable to read are the commentaries that guide the reader between the gallery of results and are full of stories about Rota and of reflections about his mathematical style, about how he was led to areas and insights, about what he saw in them and what he thought they could do for other areas."

―MATHEMATICAL REVIEWS

"This mixture of reprinted papers and articles about Rota tell the story of his mathematical journey.... Apart from the opportunity to trace Rota’s mathematical development through his papers, the book offers eighteen articles on Rota’s work. These range from reminiscences and biographical details, to articles explaining the background to specific papers."

―THE MATHEMATICAL GAZETTE

"...Rota’s work contains many fresh ideas stimulating further research. If a PhD student asks for a book that might serve as a starting point to his/her research, the present volume is an excellent choice. Experts in analysis and probability can also find continual values in seeing Rota’s writings in a single volume."

―ACTA SCIENTIARUM MATHEMATICARUM

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