An Invitation To Combinatorics
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An Invitation To Combinatorics
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Author : Shahriar Shahriari
language : en
Publisher: Cambridge University Press
Release Date : 2021-07-22
An Invitation To Combinatorics written by Shahriar Shahriari and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-22 with MATHEMATICS categories.
A conversational introduction to combinatorics for upper undergraduates, emphasizing problem solving and active student participation.
Combinatorics
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Author : Straight
language : en
Publisher:
Release Date : 1993-01-01
Combinatorics written by Straight and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-01-01 with categories.
Combinatorics
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Author : H. Joseph Straight
language : en
Publisher: Thomson Brooks/Cole
Release Date : 1993
Combinatorics written by H. Joseph Straight and has been published by Thomson Brooks/Cole this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.
An Invitation To Analytic Combinatorics
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Author : Stephen Melczer
language : en
Publisher: Springer
Release Date : 2021-12-24
An Invitation To Analytic Combinatorics written by Stephen Melczer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-24 with Mathematics categories.
This 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.
An Invitation To Analytic Combinatorics
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Author : Stephen Melczer
language : en
Publisher: Springer Nature
Release Date : 2020-12-22
An Invitation To Analytic Combinatorics written by Stephen Melczer and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-22 with Mathematics categories.
This 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.
An Invitation To The Rogers Ramanujan Identities
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Author : Andrew V. Sills
language : en
Publisher: CRC Press
Release Date : 2017-10-16
An Invitation To The Rogers Ramanujan Identities written by Andrew V. Sills and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-16 with Mathematics categories.
The Rogers--Ramanujan identities are a pair of infinite series—infinite product identities that were first discovered in 1894. Over the past several decades these identities, and identities of similar type, have found applications in number theory, combinatorics, Lie algebra and vertex operator algebra theory, physics (especially statistical mechanics), and computer science (especially algorithmic proof theory). Presented in a coherant and clear way, this will be the first book entirely devoted to the Rogers—Ramanujan identities and will include related historical material that is unavailable elsewhere.
Combinatorial Reciprocity Theorems An Invitation To Enumerative Geometric Combinatorics
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Author : Matthias Beck
language : en
Publisher: American Mathematical Soc.
Release Date : 2018-12-12
Combinatorial Reciprocity Theorems An Invitation To Enumerative Geometric Combinatorics written by Matthias Beck and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-12 with Combinatorial analysis categories.
Combinatorial reciprocity is a very interesting phenomenon, which can be described as follows: A polynomial, whose values at positive integers count combinatorial objects of some sort, may give the number of combinatorial objects of a different sort when evaluated at negative integers (and suitably normalized). Such combinatorial reciprocity theorems occur in connections with graphs, partially ordered sets, polyhedra, and more. Using the combinatorial reciprocity theorems as a leitmotif, this book unfolds central ideas and techniques in enumerative and geometric combinatorics. Written in a friendly writing style, this is an accessible graduate textbook with almost 300 exercises, numerous illustrations, and pointers to the research literature. Topics include concise introductions to partially ordered sets, polyhedral geometry, and rational generating functions, followed by highly original chapters on subdivisions, geometric realizations of partially ordered sets, and hyperplane arrangements.
Invitation To Discrete Mathematics
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Author : Jiří Matoušek
language : en
Publisher: Oxford University Press
Release Date : 2009
Invitation To Discrete Mathematics written by Jiří Matoušek and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
A clear and self-contained introduction to discrete mathematics for undergraduates and early graduates.
An Invitation To Q Series
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Author : Hei-Chi Chan
language : en
Publisher: World Scientific
Release Date : 2011
An Invitation To Q Series written by Hei-Chi Chan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
The aim of this lecture notes is to provide a self-contained exposition of several fascinating formulas discovered by Srinivasa Ramanujan. Two central results in these notes are: (1) the evaluation of the Rogers–Ramanujan continued fraction — a result that convinced G H Hardy that Ramanujan was a “mathematician of the highest class”, and (2) what G H Hardy called Ramanujan's “Most Beautiful Identity”. This book covers a range of related results, such as several proofs of the famous Rogers–Ramanujan identities and a detailed account of Ramanujan's congruences. It also covers a range of techniques in q-series.
An Invitation To Representation Theory
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Author : R. Michael Howe
language : en
Publisher: Springer Nature
Release Date : 2022-05-28
An Invitation To Representation Theory written by R. Michael Howe and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-28 with Mathematics categories.
An Invitation to Representation Theory offers an introduction to groups and their representations, suitable for undergraduates. In this book, the ubiquitous symmetric group and its natural action on polynomials are used as a gateway to representation theory. The subject of representation theory is one of the most connected in mathematics, with applications to group theory, geometry, number theory and combinatorics, as well as physics and chemistry. It can however be daunting for beginners and inaccessible to undergraduates. The symmetric group and its natural action on polynomial spaces provide a rich yet accessible model to study, serving as a prototype for other groups and their representations. This book uses this key example to motivate the subject, developing the notions of groups and group representations concurrently. With prerequisites limited to a solid grounding in linear algebra, this book can serve as a first introduction to representation theory at the undergraduate level, for instance in a topics class or a reading course. A substantial amount of content is presented in over 250 exercises with complete solutions, making it well-suited for guided study.