Combinatorics and Number Theory of Counting Sequences

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A01=Istvan Mezo
advanced mathematical proofs
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Age Group_Uncategorized
asymptotic analysis
Author_Istvan Mezo
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Bell Number
Bell Polynomials
Bernoulli Numbers
Bernoulli Polynomials
Bessel Polynomials
Binomial Coefficients
Category1=Non-Fiction
Category=PBCD
Category=PBD
Category=PBH
Category=PBV
Cauchy Number
Characteristic Polynomial
Combinatorial Proof
Combinatorics
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Counting Sequences
Cryptography
cycle decomposition applications
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enumerative combinatorics
eq_isMigrated=2
eq_nobargain
Euler Gamma Function
Eulerian Numbers
Eulerian Polynomial
Exponential Generating Function
finite field congruences
finite set partitions
Hankel Determinant
Hankel Transform
Language_English
Log Concave Sequence
Meixner Polynomials
Minimal Polynomial
Negative Real Line
number theoretical results
Number Theory
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Pascal Triangle
permutation cycles
permutation enumeration
Power Sum
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Riemann Zeta Function
set partition theory
softlaunch
Stirling Numbers
two-parameter counting sequences
Universal Generating Functions
Young Tableau

Product details

  • ISBN 9781138564855
  • Weight: 842g
  • Dimensions: 156 x 234mm
  • Publication Date: 20 Aug 2019
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Hardback
  • Language: English
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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.

István Mező is a Hungarian mathematician. He obtained his PhD in 2010 at the University of Debrecen. He was working in this institute until 2014. After two years of Prometeo Professorship at the Escuela Politécnica Nacional (Quito, Ecuador) between 2012 and 2014 he moved to Nanjing, China, where he is now a full-time research professor.

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