112 combinatorial problems from the AwesomeMath Summer Program / Vlad Matei and Elizabeth Reiland.
Material type:
TextPublication details: Plano, TX : XYZ Press, ©2016.Description: viii, 246 pages : illustrations ; 26 cmISBN: - 9780996874526
- One hundred twelve combinatorial problems
- 511.6 23 M425
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 511.6 M425 (Browse shelf(Opens below)) | Available | 138340 |
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| 511.6 M167 Combinatory analysis | 511.6 M167 Combinatory analysis | 511.6 M289 Commutation relations, normal ordering, and stirling numbers / | 511.6 M425 112 combinatorial problems from the AwesomeMath Summer Program / | 511.6 M433 Matroid theory : proceedings | 511.6 M537 Algebraic and geometric combinatorics | 511.6 M663 Permanents |
1. Counting basics --
2. Permutations and combinations --
3. Stars and bars and multinomials --
4. Principle of inclusion-exclusion --
5. Pascal's triangle and the Binomial theorem --
6. Counting in more than one way --
7. Pigeonhole principle --
8. Induction --
9. Recurrence relations --
10. Graph theory --
11. Invariants --
12. Combinatiorial geometry --
13. Generating functions --
14. Probabilities and probabilistic method --
15. Introductory problems --
16. Advanced problems --
17. Solutions for introductory problems --
18. Solutions for advanced problems --
Appendix.
Gives students a chance to begin exploring some introductory to intermediate topics in combinatorics, a fascinating and accessible branch of mathematics centred around (among other things) counting various objects and sets. This book includes chapters featuring tools for solving counting problems, proof techniques, and more to give students a broad foundation to build on.
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