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Indiscrete Thoughts
  • Language: en
  • Pages: 280

Indiscrete Thoughts

Indiscrete Thoughts gives a glimpse into a world that has seldom been described - that of science and technology as seen through the eyes of a mathematician. The era covered by this book, 1950 to 1990, was surely one of the golden ages of science and of the American university. Cherished myths are debunked along the way as Gian-Carlo Rota takes pleasure in portraying, warts and all, some of the great scientific personalities of the period. Rota is not afraid of controversy. Some readers may even consider these essays indiscreet. This beautifully written book is destined to become an instant classic and the subject of debate for decades to come.

Introduction to Geometric Probability
  • Language: en
  • Pages: 178

Introduction to Geometric Probability

The basic ideas of the subject and the analogues with enumerative combinatorics are described and exploited.

Gian-Carlo Rota on Analysis and Probability
  • Language: en
  • Pages: 382

Gian-Carlo Rota on Analysis and Probability

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...

Combinatorics: The Rota Way
  • Language: en
  • Pages: 396

Combinatorics: The Rota Way

Compiled and edited by two of Gian-Carlo Rota's students, this book is based on notes from his influential combinatorics courses.

Algebraic Combinatorics and Computer Science
  • Language: en
  • Pages: 546

Algebraic Combinatorics and Computer Science

This book, dedicated to the memory of Gian-Carlo Rota, is the result of a collaborative effort by his friends, students and admirers. Rota was one of the great thinkers of our times, innovator in both mathematics and phenomenology. I feel moved, yet touched by a sense of sadness, in presenting this volume of work, despite the fear that I may be unworthy of the task that befalls me. Rota, both the scientist and the man, was marked by a generosity that knew no bounds. His ideas opened wide the horizons of fields of research, permitting an astonishing number of students from all over the globe to become enthusiastically involved. The contagious energy with which he demonstrated his tremendous m...

Gian-Carlo Rota on combinatorics
  • Language: en
  • Pages: 624

Gian-Carlo Rota on combinatorics

  • Type: Book
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  • Published: 1995
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  • Publisher: Unknown

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Mathematical Essays in honor of Gian-Carlo Rota
  • Language: en
  • Pages: 466

Mathematical Essays in honor of Gian-Carlo Rota

In April of 1996 an array of mathematicians converged on Cambridge, Massachusetts, for the Rotafest and Umbral Calculus Workshop, two con ferences celebrating Gian-Carlo Rota's 64th birthday. It seemed appropriate when feting one of the world's great combinatorialists to have the anniversary be a power of 2 rather than the more mundane 65. The over seventy-five par ticipants included Rota's doctoral students, coauthors, and other colleagues from more than a dozen countries. As a further testament to the breadth and depth of his influence, the lectures ranged over a wide variety of topics from invariant theory to algebraic topology. This volume is a collection of articles written in Rota's honor. Some of them were presented at the Rotafest and Umbral Workshop while others were written especially for this Festschrift. We will say a little about each paper and point out how they are connected with the mathematical contributions of Rota himself.

The Star and the Whole
  • Language: en
  • Pages: 138

The Star and the Whole

  • Type: Book
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  • Published: 2011-08-24
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  • Publisher: CRC Press

The Star and the Whole: Gian-Carlo Rota on Mathematics and Phenomenology, authored by Fabrizio Palombi, is the first book to study Rota’s philosophical reflection. Rota (1932–1999) was a leading figure in contemporary mathematics and an outstanding philosopher, inspired by phenomenology, who made fundamental contributions to combinatorial analysis, and trained several generations of mathematicians in his long career at the Massachusetts Institute of Technology (MIT) and the Los Alamos National Laboratory. The first chapter of the book reconstructs Rota’s cultural biography and examines his philosophical style, his criticisms of analytical philosophy, and his reflection on Heidegger’s...

Hopf algebras and combinatorics
  • Language: en
  • Pages: 198

Hopf algebras and combinatorics

  • Type: Book
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  • Published: 1978
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  • Publisher: Unknown

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Finite operator calculus
  • Language: en
  • Pages: 159

Finite operator calculus

  • Type: Book
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  • Published: 1975
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  • Publisher: Unknown

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