Introduction to Enumerative and Analytic Combinatorics
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ISBN-13:
9781482249095
Veröffentl:
2015
Erscheinungsdatum:
02.10.2015
Seiten:
534
Autor:
Miklos Bona
Gewicht:
930 g
Format:
244x161x32 mm
Sprache:
Englisch
Beschreibung:
This book fills the gap between introductory texts in discrete mathematics and advanced graduate texts in enumerative combinatorics. The text first deals with basic counting principles, compositions and partitions, and generating functions. It then focuses on the structure of permutations, graph enumeration, and extremal combinatorics. Lastly, the book discusses supplemental topics, including error-correcting codes, properties of sequences, and magic squares. The second edition adds a new chapter on analytic combinatorics, new sections on advanced applications of generating functions, and new exercises to all chapters.
Basic methods. Applications of basic methods. Generating functions. Counting permutations. Counting graphs. Extremal combinatorics. Analytic combinatorics. Symmetric structures. Sequences in combinatorics. Counting magic squares and magic cubes. Appendix: The method of mathematical induction.
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