Algebraic Combinatorics and Computer Science

Algebraic Combinatorics and Computer Science

Author: H. Crapo

Publisher: Springer Science & Business Media

ISBN: 9788847021075

Category: Mathematics

Page: 546

View: 943

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.

Formal Power Series and Algebraic Combinatorics

Formal Power Series and Algebraic Combinatorics

Author: Daniel Krob

Publisher: Springer Science & Business Media

ISBN: 9783662041666

Category: Mathematics

Page: 808

View: 135

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 on Words

Algebraic Combinatorics on Words

Author: M. Lothaire

Publisher: Cambridge University Press

ISBN: 0521812208

Category: Mathematics

Page: 536

View: 650

Comprehensive 2002 introduction to combinatorics on words for mathematicians and theoretical computer scientists.

Algebraic Combinatorics and Applications

Algebraic Combinatorics and Applications

Author: Anton Betten

Publisher: Springer Science & Business Media

ISBN: 9783642594489

Category: Mathematics

Page: 347

View: 974

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.

Formal Power Series and Algebraic Combinatorics, 1994

Formal Power Series and Algebraic Combinatorics, 1994

Author: Louis J. Billera

Publisher: American Mathematical Soc.

ISBN: 082187070X

Category: Mathematics

Page: 198

View: 822

Because of the inteplay among many fields of mathematics and science, algebraic combinatorics is an area in which a wide variety of ideas and methods come together. The papers in this volume reflect the most interesting aspects of this rich interaction and will be of interest to researchers in discrete mathematics and combinatorial systems.

Computer Algebra Handbook

Computer Algebra Handbook

Author: Johannes Grabmeier

Publisher: Springer Science & Business Media

ISBN: 9783642558269

Category: Computers

Page: 637

View: 584

This Handbook gives a comprehensive snapshot of a field at the intersection of mathematics and computer science with applications in physics, engineering and education. Reviews 67 software systems and offers 100 pages on applications in physics, mathematics, computer science, engineering chemistry and education.

Recent Trends in Algebraic Combinatorics

Recent Trends in Algebraic Combinatorics

Author: Hélène Barcelo

Publisher: Springer

ISBN: 9783030051419

Category: Mathematics

Page: 362

View: 827

This edited volume features a curated selection of research in algebraic combinatorics that explores the boundaries of current knowledge in the field. Focusing on topics experiencing broad interest and rapid growth, invited contributors offer survey articles on representation theory, symmetric functions, invariant theory, and the combinatorics of Young tableaux. The volume also addresses subjects at the intersection of algebra, combinatorics, and geometry, including the study of polytopes, lattice points, hyperplane arrangements, crystal graphs, and Grassmannians. All surveys are written at an introductory level that emphasizes recent developments and open problems. An interactive tutorial on Schubert Calculus emphasizes the geometric and topological aspects of the topic and is suitable for combinatorialists as well as geometrically minded researchers seeking to gain familiarity with relevant combinatorial tools. Featured authors include prominent women in the field known for their exceptional writing of deep mathematics in an accessible manner. Each article in this volume was reviewed independently by two referees. The volume is suitable for graduate students and researchers interested in algebraic combinatorics.

Algorithmic Algebraic Combinatorics and Gröbner Bases

Algorithmic Algebraic Combinatorics and Gröbner Bases

Author: Mikhail Klin

Publisher: Springer Science & Business Media

ISBN: 9783642019609

Category: Mathematics

Page: 311

View: 298

This collection of tutorial and research papers introduces readers to diverse areas of modern pure and applied algebraic combinatorics and finite geometries. There is special emphasis on algorithmic aspects and the use of the theory of Gröbner bases.

Algebraic Monoids, Group Embeddings, and Algebraic Combinatorics

Algebraic Monoids, Group Embeddings, and Algebraic Combinatorics

Author: Mahir Can

Publisher: Springer

ISBN: 9781493909384

Category: Mathematics

Page: 354

View: 405

This book contains a collection of fifteen articles and is dedicated to the sixtieth birthdays of Lex Renner and Mohan Putcha, the pioneers of the field of algebraic monoids. Topics presented include: structure and representation theory of reductive algebraic monoids monoid schemes and applications of monoids monoids related to Lie theory equivariant embeddings of algebraic groups constructions and properties of monoids from algebraic combinatorics endomorphism monoids induced from vector bundles Hodge–Newton decompositions of reductive monoids A portion of these articles are designed to serve as a self-contained introduction to these topics, while the remaining contributions are research articles containing previously unpublished results, which are sure to become very influential for future work. Among these, for example, the important recent work of Michel Brion and Lex Renner showing that the algebraic semi groups are strongly π-regular. Graduate students as well as researchers working in the fields of algebraic (semi)group theory, algebraic combinatorics and the theory of algebraic group embeddings will benefit from this unique and broad compilation of some fundamental results in (semi)group theory, algebraic group embeddings and algebraic combinatorics merged under the umbrella of algebraic monoids.

Algorithmic Combinatorics: Enumerative Combinatorics, Special Functions and Computer Algebra

Algorithmic Combinatorics: Enumerative Combinatorics, Special Functions and Computer Algebra

Author: Veronika Pillwein

Publisher: Springer Nature

ISBN: 9783030445591

Category: Computers

Page: 410

View: 774

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.