Algebraic Combinatorics and Computer Science: A Tribute to Gian-Carlo Rota

Front Cover
H. Crapo, D. Senato
Springer Science & Business Media, Jan 1, 2001 - Mathematics - 546 pages
0 Reviews
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.
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Selected pages

Contents

Ten abandoned gold mines
3
Foreword
25
The adventures of measure theory
27
What is invariant theory really?
41
Twelve problems in probability no one likes to bring up
57
the Rota touch
97
Circulant recursive matrices
111
Remarks on invariant geometric calculus CayleyGrassmann algebras and geometric Clifford algebras
129
Foreword to the surveys by Aigner and Perrin
345
a recurrent theme
347
Enumerative combinatorics on words
391
Alphabet splitting
431
Some operations on the family of equivalence relations
445
Solving linear recurrences using functionals
461
Polynomiality of the q tKostka revisited
473
A combinatorial approach to the theory of PIalgebras and exponential growth
493

Grassmann geometric calculus invariant theory and superalgebras
151
RotaMetropolis cubic logic and UlamRényi games
197
Umbral nature of the Poisson random variables
245
an algorithm in invariant theory
267
a constructive definition of the resultant
315
On the permanent of certain circulant matrices
513
Episturmian words and morphisms results and conjectures
533
A curious characteristic property of standard Sturmian words
541
Copyright

Other editions - View all

Common terms and phrases

References to this book

Bibliographic information