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Combinatorial reasoning : an introduction to the art of counting / Duane DeTemple and William Webb.

By: Contributor(s): Material type: TextTextPublication details: New Jersey : John Wiley, c2014.Description: xi, 470 p. : illustrations ; 25 cmISBN:
  • 9781118652183
Subject(s): DDC classification:
  • 511.6 23 D479
Contents:
1. Initial EnCOUNTers with combinatorial reasoning -- 2. Selections, arrangements, and distributions -- 3. Binomial series and generating functions -- 4. Alternating sums, inclusion-exclusion principle, rook polynomials, and fibonacci nim -- 5. Recurrence relations -- 6. Special numbers -- 7. Linear spaces and recurrence sequences -- 8. Counting with symmetries -- Index of notations -- Appendices -- Index.
Summary: The book utilizes real world examples with problems ranging from basic calculations that are designed to develop fundamental concepts to more challenging exercises that allow for a deeper exploration of complex combinatorial situations. Simple cases are treated first before moving on to general and more advanced cases.
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Includes bibliographical references and index.

1. Initial EnCOUNTers with combinatorial reasoning --
2. Selections, arrangements, and distributions --
3. Binomial series and generating functions --
4. Alternating sums, inclusion-exclusion principle, rook polynomials, and fibonacci nim --
5. Recurrence relations --
6. Special numbers --
7. Linear spaces and recurrence sequences --
8. Counting with symmetries --
Index of notations --
Appendices --
Index.

The book utilizes real world examples with problems ranging from basic calculations that are designed to develop fundamental concepts to more challenging exercises that allow for a deeper exploration of complex combinatorial situations. Simple cases are treated first before moving on to general and more advanced cases.

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