Gian-Carlo Rota's Books

Gian-Carlo Rota on Analysis and Probability

Selected Papers and Commentaries

By: Jean Dhombres

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Gian-Carlo Rota on Analysis and Probability

Selected Papers and Commentaries

By: Jean Dhombres

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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424

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0817642757

ISBN 13

9780817642754

Mathematical Essays in honor of Gian-Carlo Rota

By: Bruce Sagan,Richard Stanley

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Mathematical Essays in honor of Gian-Carlo Rota

By: Bruce Sagan,Richard Stanley

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.

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488

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0817638725

ISBN 13

9780817638726

Discrete Thoughts

Essays on Mathematics, Science and Philosophy

By: Mark Kac,Gian-Carlo Rota,Jacob T. Schwartz

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Discrete Thoughts

Essays on Mathematics, Science and Philosophy

By: Mark Kac,Gian-Carlo Rota,Jacob T. Schwartz

This is a volume of essays and reviews that delightfully explores mathematics in all its moods — from the light and the witty, and humorous to serious, rational, and cerebral. These beautifully written articles from three great modern mathematicians will provide a source for supplemental reading for almost any math class. Topics include: logic, combinatorics, statistics, economics, artificial intelligence, computer science, and broad applications of mathematics. Readers will also find coverage of history and philosophy, including discussion of the work of Ulam, Kant, and Heidegger, among others.

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Page Count

286

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0817647740

ISBN 13

9780817647742

Algebraic Combinatorics and Computer Science

A Tribute to Gian-Carlo Rota

By: H. Crapo,D. Senato

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Algebraic Combinatorics and Computer Science

A Tribute to Gian-Carlo Rota

By: H. Crapo,D. Senato

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 mental capacity always proved fresh and inspiring. Beyond his renown as gifted scientist, what was particularly striking in Gian-Carlo Rota was his ability to appreciate the diverse intellectual capacities of those before him and to adapt his communications accordingly. This human sense, complemented by his acute appreciation of the importance of the individual, acted as a catalyst in bringing forth the very best in each one of his students. Whosoever was fortunate enough to enjoy Gian-Carlo Rota's longstanding friendship was most enriched by the experience, both mathematically and philosophically, and had occasion to appreciate son cote de bon vivant. The book opens with a heartfelt piece by Henry Crapo in which he meticulously pieces together what Gian-Carlo Rota's untimely demise has bequeathed to science.

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Page Count

564

Publisher

Springer Science & Business Media

Published Date

ISBN 10

8847000785

ISBN 13

9788847000780

Combinatorics: The Rota Way

By: Joseph P. S. Kung,Gian-Carlo Rota,Catherine H. Yan

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Combinatorics: The Rota Way

By: Joseph P. S. Kung,Gian-Carlo Rota,Catherine H. Yan

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

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Page Count

409

Publisher

Cambridge University Press

Published Date

ISBN 10

052188389X

ISBN 13

9780521883894

Indiscrete Thoughts

By: Gian-Carlo Rota

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Indiscrete Thoughts

By: Gian-Carlo Rota

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.

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Page Count

299

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0817647813

ISBN 13

9780817647810

Essays on the Future

In Honor of Nick Metropolis

By: Siegfried Hecker,Gian-Carlo Rota

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Essays on the Future

In Honor of Nick Metropolis

By: Siegfried Hecker,Gian-Carlo Rota

This collection represents a unique undertaking in scientific publishing to honor Nick Metropolis, the last survivor of the World War II Manhattan Project in Los Alamos. In this volume, some of the leading scientists and humanists of our time have contributed essays related to their respective disciplines, exploring various aspects of future developments in science and society, philosophy, national security, nuclear power, pure and applied mathematics, physics and biology, particle physics, computing, and information science.

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Page Count

276

Publisher

Birkhäuser

Published Date

ISBN 10

1461207789

ISBN 13

9781461207788

Book's by Gian-Carlo Rota

Gian-Carlo Rota on Analysis and Probability

Gian-Carlo Rota on Analysis and Probability

Mathematical Essays in honor of Gian-Carlo Rota

Mathematical Essays in honor of Gian-Carlo Rota

Discrete Thoughts

Discrete Thoughts

Algebraic Combinatorics and Computer Science

Algebraic Combinatorics and Computer Science

Combinatorics: The Rota Way

Combinatorics: The Rota Way

Indiscrete Thoughts

Indiscrete Thoughts

Essays on the Future

Essays on the Future

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