Stephen Melczer – författare

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5 produkter

Del 212 - Cambridge Studies in Advanced Mathematics
Analytic Combinatorics in Several Variables
AvRobin Pemantle,Mark C. Wilsonm. fl.
Inbunden, Engelska, 2024
943 kr
Skickas inom 10-15 vardagar
Discrete structures model a vast array of objects ranging from DNA sequences to internet networks. The theory of generating functions provides an algebraic framework for discrete structures to be enumerated using mathematical tools. This book is the result of 25 years of work developing analytic machinery to recover asymptotics of multivariate sequences from their generating functions, using multivariate methods that rely on a combination of analytic, algebraic, and topological tools. The resulting theory of analytic combinatorics in several variables is put to use in diverse applications from mathematics, combinatorics, computer science, and the natural sciences. This new edition is even more accessible to graduate students, with many more exercises, computational examples with Sage worksheets to illustrate the main results, updated background material, additional illustrations, and a new chapter providing a conceptual overview.
Analytic Combinatorics in Several Variables
AvStephen Melczer,Mark C. Wilsonm. fl.
E-bok
PDF, Engelska, 2024
1 152 kr
Läs direkt efter köp
Invitation to Analytic Combinatorics
From One to Several Variables
AvStephen Melczer
Inbunden, Engelska, 2020
1 516 kr
Skickas inom 10-15 vardagar
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 theorycan 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.
Invitation to Analytic Combinatorics
From One to Several Variables
AvStephen Melczer
E-bok
PDF, Engelska, 2020
1 891 kr
Läs direkt efter köp
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 theorycan 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.
Invitation to Analytic Combinatorics
From One to Several Variables
AvStephen Melczer
Häftad, Engelska, 2021
1 516 kr
Skickas inom 10-15 vardagar
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 theorycan 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.

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Stephen Melczer – författare

Analytic Combinatorics in Several Variables

Analytic Combinatorics in Several Variables

Invitation to Analytic Combinatorics

Invitation to Analytic Combinatorics

Invitation to Analytic Combinatorics

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