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An Invitation to Analytic Combinatorics: From One to Several Variables (Texts & Monographs in Symbolic Computation) - Hardcover

 
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  • PublisherSpringer
  • Publication date2020
  • ISBN 10 3030670791
  • ISBN 13 9783030670795
  • BindingHardcover
  • LanguageEnglish
  • Edition number1
  • Number of pages436

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Melczer, Stephen
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book uses new mathematical tools to examine broad computability and complexity questions inenumerative 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 toresearchers in these domains.After a survey of current results and open problems on decidability in enumerative combinatorics, the textshows 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, throughexamples and general theory, how results from stratified Morse theorycan help refine some of thesecomputability questions.Complementing the written presentation are over 50 worksheets for the SageMath and Maple computer algebra systems working through examples in the text. 440 pp. Englisch. Seller Inventory # 9783030670795

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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Interactive computer algebra worksheets allow deeper understanding of the materialMany fully worked detailed examples help to illustrate advanced theoretical methodsUnique blend of theory, computation, and applications&nbsp. Seller Inventory # 426852303

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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book uses new mathematical tools to examine broad computability and complexity questions inenumerative 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 toresearchers in these domains.After a survey of current results and open problems on decidability in enumerative combinatorics, the textshows 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, throughexamples and general theory, how results from stratified Morse theorycan help refine some of thesecomputability questions.Complementing the written presentation are over 50 worksheets for the SageMath and Maple computer algebra systems working through examples in the text. Seller Inventory # 9783030670795

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