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Combinatorics and Number Theory of Counting Sequences
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Combinatorics and Number Theory of Counting Sequences

Book Details

Format Paperback / Softback
ISBN-10 1032475358
ISBN-13 9781032475356
Publisher Taylor & Francis Ltd
Imprint CRC Press
Country of Manufacture GB
Country of Publication GB
Publication Date Jan 21st, 2023
Print length 498 Pages
Weight 742 grams
Dimensions 15.40 x 23.40 x 3.00 cms
Ksh 9,200.00
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Combinatorialists are seldom aware of number theoretical tools, and number theorists rarely aware of possible combinatorial applications. This book is accessible for both of the groups. The first part introduces important counting sequences. The second part shows how these sequences can be generalized to study new combinatorial problems

Combinatorics and Number Theory of Counting Sequences is an introduction to the theory of finite set partitions and to the enumeration of cycle decompositions of permutations.



The presentation prioritizes elementary enumerative proofs. Therefore, parts of the book are designed so that even those high school students and teachers who are interested in combinatorics can have the benefit of them. Still, the book collects vast, up-to-date information for many counting sequences (especially, related to set partitions and permutations), so it is a must-have piece for those mathematicians who do research on enumerative combinatorics.



In addition, the book contains number theoretical results on counting sequences of set partitions and permutations, so number theorists who would like to see nice applications of their area of interest in combinatorics will enjoy the book, too.



Features







  • The Outlook sections at the end of each chapter guide the reader towards topics not covered in the book, and many of the Outlook items point towards new research problems.






  • An extensive bibliography and tables at the end make the book usable as a standard reference.






    • Citations to results which were scattered in the literature now become easy, because huge parts of the book (especially in parts II and III) appear in book form for the first time.





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