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An Invitation to Analytic Combinatorics: From One to Several Variables

By (author) Stephen Melczer

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normal price: R 5 675.95

Price: R 5 391.95


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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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Normally shipped | Usually dispatched in 3 to 6 weeks as supplier is out of stock
Publisher | Springer Nature Switzerland AG
Published date | 23 Dec 2020
Language |
Format | Hardback
Pages | 418
Dimensions | 235 x 155 x 0mm (L x W x H)
Weight | 0g
ISBN | 978-3-0306-7079-5
Readership Age |
BISAC | mathematics / discrete mathematics


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Normally shipped | Available from overseas. Usually dispatched in 14 days
Readership Age |
Normal Price | R 6 595.95
Price | R 6 266.95 | on special |



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Originally published in Italian: L'ordine del tempo (Milan: Adelphi Edizioni, 2017).