An Invitation to Analytic Combinatorics is popular PDF and ePub book, written by Stephen Melczer in 2020-12-22, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, An Invitation to Analytic Combinatorics can be Read Online from any device for your convenience.
An Invitation to Analytic Combinatorics Book PDF Summary
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.
Detail Book of An Invitation to Analytic Combinatorics PDF
- Author : Stephen Melczer
- Release : 22 December 2020
- Publisher : Springer Nature
- ISBN : 9783030670801
- Genre : Mathematics
- Total Page : 418 pages
- Language : English
- PDF File Size : 17,6 Mb
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