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Algebraic Combinatorics and Computer Science

Algebraic Combinatorics and Computer Science PDF Author: H. Crapo
Publisher: Springer Science & Business Media
ISBN: 8847021073
Category : Mathematics
Languages : en
Pages : 546

Book Description
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.

Algebraic Combinatorics and Computer Science

Algebraic Combinatorics and Computer Science PDF Author: H. Crapo
Publisher: Springer Science & Business Media
ISBN: 8847021073
Category : Mathematics
Languages : en
Pages : 546

Book Description
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.

Combinatorics for Computer Science

Combinatorics for Computer Science PDF Author: Stanley Gill Williamson
Publisher: Courier Corporation
ISBN: 9780486420769
Category : Mathematics
Languages : en
Pages : 548

Book Description
Useful guide covers two major subdivisions of combinatorics — enumeration and graph theory — with emphasis on conceptual needs of computer science. Each part is divided into a "basic concepts" chapter emphasizing intuitive needs of the subject, followed by four "topics" chapters that explore these ideas in depth. Invaluable practical resource for graduate students, advanced undergraduates, and professionals with an interest in algorithm design and other aspects of computer science and combinatorics. References for Linear Order & for Graphs, Trees, and Recursions. 219 figures.

Algebra, Combinatorics, and Logic in Computer Science

Algebra, Combinatorics, and Logic in Computer Science PDF Author: János Demetrovics
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 458

Book Description


Algebraic Combinatorics and Applications

Algebraic Combinatorics and Applications PDF Author: Anton Betten
Publisher: Springer Science & Business Media
ISBN: 3642594484
Category : Mathematics
Languages : de
Pages : 347

Book Description
Proceedings of a high-level conference on discrete mathematics, focusing on group actions in the areas of pure mathematics, applied mathematics, computer science, physics, and chemistry. A useful tool for researchers and graduate students in discrete mathematics and theoretical computer science.

Universal Algebra and Its Links with Logic, Algebra, Combinatorics, and Computer Science

Universal Algebra and Its Links with Logic, Algebra, Combinatorics, and Computer Science PDF Author: Peter Burmeister
Publisher:
ISBN:
Category : Algebra, Universal
Languages : en
Pages : 268

Book Description


Extremal Combinatorics

Extremal Combinatorics PDF Author: Stasys Jukna
Publisher: Springer Science & Business Media
ISBN: 3662046504
Category : Computers
Languages : en
Pages : 378

Book Description
This is a concise, up-to-date introduction to extremal combinatorics for non-specialists. Strong emphasis is made on theorems with particularly elegant and informative proofs which may be called the gems of the theory. A wide spectrum of the most powerful combinatorial tools is presented, including methods of extremal set theory, the linear algebra method, the probabilistic method and fragments of Ramsey theory. A thorough discussion of recent applications to computer science illustrates the inherent usefulness of these methods.

Algorithmic Combinatorics: Enumerative Combinatorics, Special Functions and Computer Algebra

Algorithmic Combinatorics: Enumerative Combinatorics, Special Functions and Computer Algebra PDF Author: Veronika Pillwein
Publisher: Springer Nature
ISBN: 3030445593
Category : Computers
Languages : en
Pages : 415

Book Description
The book is centered around the research areas of combinatorics, special functions, and computer algebra. What these research fields share is that many of their outstanding results do not only have applications in Mathematics, but also other disciplines, such as computer science, physics, chemistry, etc. A particular charm of these areas is how they interact and influence one another. For instance, combinatorial or special functions' techniques have motivated the development of new symbolic algorithms. In particular, first proofs of challenging problems in combinatorics and special functions were derived by making essential use of computer algebra. This book addresses these interdisciplinary aspects. Algorithmic aspects are emphasized and the corresponding software packages for concrete problem solving are introduced. Readers will range from graduate students, researchers to practitioners who are interested in solving concrete problems within mathematics and other research disciplines.

Formal Power Series and Algebraic Combinatorics

Formal Power Series and Algebraic Combinatorics PDF Author: Daniel Krob
Publisher: Springer Science & Business Media
ISBN: 3662041669
Category : Mathematics
Languages : en
Pages : 808

Book Description
This book contains the extended abstracts presented at the 12th International Conference on Power Series and Algebraic Combinatorics (FPSAC '00) that took place at Moscow State University, June 26-30, 2000. These proceedings cover the most recent trends in algebraic and bijective combinatorics, including classical combinatorics, combinatorial computer algebra, combinatorial identities, combinatorics of classical groups, Lie algebra and quantum groups, enumeration, symmetric functions, young tableaux etc...

Algebraic Combinatorics

Algebraic Combinatorics PDF Author: Eiichi Bannai
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110627736
Category : Mathematics
Languages : en
Pages : 303

Book Description
This series is devoted to the publication of high-level monographs which cover the whole spectrum of current discrete mathematics and its applications in various fields. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of discrete mathematics. Contributions which are on the borderline of discrete mathematics and related fields and which stimulate further research at the crossroads of these areas are particularly welcome.

Building Bridges

Building Bridges PDF Author: Martin Grötschel
Publisher: Springer Science & Business Media
ISBN: 3540852212
Category : Mathematics
Languages : en
Pages : 595

Book Description
Discrete mathematics and theoretical computer science are closely linked research areas with strong impacts on applications and various other scientific disciplines. Both fields deeply cross fertilize each other. One of the persons who particularly contributed to building bridges between these and many other areas is László Lovász, a scholar whose outstanding scientific work has defined and shaped many research directions in the last 40 years. A number of friends and colleagues, all top authorities in their fields of expertise and all invited plenary speakers at one of two conferences in August 2008 in Hungary, both celebrating Lovász’s 60th birthday, have contributed their latest research papers to this volume. This collection of articles offers an excellent view on the state of combinatorics and related topics and will be of interest for experienced specialists as well as young researchers.