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Combinatorics and Number Theory of Counting Sequences

By: (Author) Istvan Mezo

Werezi Extended Catalogue
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Ksh 39,600.00

Format: Hardback or Cased Book

ISBN-10: 1138564850

ISBN-13: 9781138564855

Series: Discrete Mathematics and Its Applications

Publisher: Taylor & Francis Ltd

Imprint: CRC Press

Country of Manufacture: GB

Country of Publication: GB

Publication Date: Aug 20th, 2019

Print length: 498 Pages

Weight: 858 grams

Dimensions (height x width x thickness): 16.40 x 24.10 x 3.20 cms

Product Classification: Mathematical logic
Discrete mathematics
Number theory
Combinatorics & graph theory

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  • Description

  • Reviews

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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