21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009)
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Published: 2009
Total Pages: 926
ISBN-13:
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Published: 2009
Total Pages: 926
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Published: 2010
Total Pages: 1068
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DOWNLOAD EBOOKAuthor: Svante Linusson
Publisher:
Published: 2003
Total Pages: 345
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DOWNLOAD EBOOKAuthor: Stephen Melczer
Publisher: Springer Nature
Published: 2020-12-22
Total Pages: 418
ISBN-13: 3030670805
DOWNLOAD EBOOKThis book uses new mathematical tools to examine broad computability and complexity questions in enumerative combinatorics, with applications to other areas of mathematics, theoretical computer science, and physics. A focus on effective algorithms leads to the development of computer algebra software of use to researchers in these domains. After a survey of current results and open problems on decidability in enumerative combinatorics, the text shows how the cutting edge of this research is the new domain of Analytic Combinatorics in Several Variables (ACSV). The remaining chapters of the text alternate between a pedagogical development of the theory, applications (including the resolution by this author of conjectures in lattice path enumeration which resisted several other approaches), and the development of algorithms. The final chapters in the text show, through examples and general theory, how results from stratified Morse theory can help refine some of these computability questions. Complementing the written presentation are over 50 worksheets for the SageMath and Maple computer algebra systems working through examples in the text.
Author: Toufik Mansour
Publisher: CRC Press
Published: 2012-07-27
Total Pages: 602
ISBN-13: 1439863342
DOWNLOAD EBOOKFocusing on a very active area of mathematical research in the last decade, Combinatorics of Set Partitions presents methods used in the combinatorics of pattern avoidance and pattern enumeration in set partitions. Designed for students and researchers in discrete mathematics, the book is a one-stop reference on the results and research activities
Author: Martínez C
Publisher:
Published: 1999
Total Pages: 639
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DOWNLOAD EBOOKAuthor: Vyjayanthi Chari
Publisher: American Mathematical Soc.
Published: 2013-11-25
Total Pages: 222
ISBN-13: 0821890379
DOWNLOAD EBOOKThis volume contains the proceedings of the International Congress of Mathematicians Satellite Conference on Algebraic and Combinatorial Approaches to Representation Theory, held August 12-16, 2010, at the National Institute of Advanced Studies, Bangalore, India, and the follow-up conference held May 18-20, 2012, at the University of California, USA. It contains original research and survey articles on various topics in the theory of representations of Lie algebras, quantum groups and algebraic groups, including crystal bases, categorification, toroidal algebras and their generalisations, vertex algebras, Hecke algebras, Kazhdan-Lusztig bases, $q$-Schur algebras, and Weyl algebras.
Author: Miklos Bona
Publisher: CRC Press
Published: 2015-03-24
Total Pages: 1073
ISBN-13: 1482220865
DOWNLOAD EBOOKPresenting the state of the art, the Handbook of Enumerative Combinatorics brings together the work of today's most prominent researchers. The contributors survey the methods of combinatorial enumeration along with the most frequent applications of these methods.This important new work is edited by Miklos Bona of the University of Florida where he
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Published: 2003
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DOWNLOAD EBOOKAuthor: Patricia Hersh
Publisher: American Mathematical Soc.
Published: 2016-12-08
Total Pages: 369
ISBN-13: 1470427249
DOWNLOAD EBOOKRichard Stanley's work in combinatorics revolutionized and reshaped the subject. His lectures, papers, and books inspired a generation of researchers. In this volume, these researchers explain how Stanley's vision and insights influenced and guided their own perspectives on the subject. As a valuable bonus, this book contains a collection of Stanley's short comments on each of his papers. This book may serve as an introduction to several different threads of ongoing research in combinatorics as well as giving historical perspective.