Combinatorial reasoning : an introduction to the art of counting / Duane DeTemple and William Webb.
Material type: TextPublication details: New Jersey : John Wiley, c2014.Description: xi, 470 p. : illustrations ; 25 cmISBN:- 9781118652183
- 511.6 23 D479
Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
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Books | ISI Library, Kolkata | 511.6 D479 (Browse shelf(Opens below)) | Available | 136604 |
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511.6 C768 Sphere packings,lattices and groups | 511.6 C813 Proceedings of the conference on algebraic aspects of combinatorics | 511.6 C951 Combinatorial functors | 511.6 D479 Combinatorial reasoning : | 511.6 D515 Ordering block designs | 511.6 D532 Combinatorics 79 | 511.6 D559 Combinatorics on traces |
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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