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A01=Alan Slomson
A01=R.B.J.T. Allenby
advanced combinatorial enumeration problems
Author_Alan Slomson
Author_R.B.J.T. Allenby
C10 C11 C12 C13 C14
C4 C5 C6 C7 C8
C5 C6 C7 C8
C5 C6 C7 C8 C9
Catalan numbers
Category=PBV
Cayley Table
Closed Path
combinatorics
Connected Graph
counting problems
Cycle Type
Dirichlet's pigeonhole principle
Dirichlet?S Pigeonhole Principle
Disjoint Cycles
Dot Diagram
dot diagrams
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Equilateral Triangle
Fibonacci numbers
four-color problem
generating functions
graph theory
graph theory concepts
Group Action
Hall's Marriage Theorem
Hall’s Marriage Theorem
Hamiltonian Path
inclusion-exclusion principle
K?Nigsberg Bridges Problem
Konigsberg bridges problem
Minimal Connector
Nonnegative Integer Solutions
occupancy problems
P?Lya?S Counting Theorem
permutations
pigeonhole principle
Planar Graph
Polya's counting theorem
Positive Integer
Pólya’s counting theorem
Ramsey theory
Recurrence Relation
recurrence relations
rook polynomials
Rotational Symmetries
Sequence D1
Short Path
Stirling numbers
trees
Vice Versa

Product details

  • ISBN 9781420082609
  • Weight: 964g
  • Dimensions: 178 x 254mm
  • Publication Date: 12 Aug 2010
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Hardback
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Emphasizes a Problem Solving Approach
A first course in combinatorics

Completely revised, How to Count: An Introduction to Combinatorics, Second Edition shows how to solve numerous classic and other interesting combinatorial problems. The authors take an easily accessible approach that introduces problems before leading into the theory involved. Although the authors present most of the topics through concrete problems, they also emphasize the importance of proofs in mathematics.

New to the Second Edition
This second edition incorporates 50 percent more material. It includes seven new chapters that cover occupancy problems, Stirling and Catalan numbers, graph theory, trees, Dirichlet’s pigeonhole principle, Ramsey theory, and rook polynomials. This edition also contains more than 450 exercises.

Ideal for both classroom teaching and self-study, this text requires only a modest amount of mathematical background. In an engaging way, it covers many combinatorial tools, such as the inclusion-exclusion principle, generating functions, recurrence relations, and Pólya’s counting theorem.

Alan Slomson taught mathematics at the University of Leeds from 1967 to 2008. He is currently the secretary of the United Kingdom Mathematics Trust.

R.B.J.T. Allenby taught mathematics at the University of Leeds from 1965 to 2007.

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