TY - BOOK AU - DeTemple,Duane AU - Webb,William TI - Combinatorial reasoning: an introduction to the art of counting SN - 9781118652183 U1 - 511.6 23 PY - 2014/// CY - New Jersey PB - John Wiley KW - Combinatorial analysis KW - Mathematical analysis N1 - 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 N2 - 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 ER -