Combinatorics
Combinatorics is an upper-level introductory course in enumeration, graph theory, and design theory.
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| Main Author: | |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Lethbridge, Alberta
Joy Morris
[2022]
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| Edition: | Version 2.1 |
| Series: | Open textbook library.
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| Subjects: | |
| Online Access: | Access online version |
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| 001 | OTLid0000494 | ||
| 003 | MnU | ||
| 005 | 20240122145157.0 | ||
| 006 | m o d s | ||
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| 008 | 180907s2022 mnu o 0 0 eng d | ||
| 040 | |a MnU |b eng |c MnU | ||
| 050 | 4 | |a QA76 | |
| 100 | 1 | |a Morris, Joy |e author | |
| 245 | 0 | 0 | |a Combinatorics |c Joy Morris |
| 250 | |a Version 2.1 | ||
| 264 | 2 | |a Minneapolis, MN |b Open Textbook Library | |
| 264 | 1 | |a Lethbridge, Alberta |b Joy Morris |c [2022] | |
| 264 | 4 | |c ©2022. | |
| 300 | |a 1 online resource | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 0 | |a Open textbook library. | |
| 505 | 0 | |a Part I. Enumeration -- Chapter 1. What is Combinatorics? -- Chapter 2. Basic Counting Techniques -- Chapter 3. Permutations, Combinations, and the Binomial Theorem -- Chapter 4. Bijections and Combinatorial Proofs -- Chapter 5. Counting with Repetitions -- Chapter 6. Induction and Recursion -- Chapter 7. Generating Functions -- Chapter 8. Generating Functions and Recursion -- Chapter 9. Some Important Recursively-Defined Sequences -- Chapter 10. Other Basic Counting Techniques -- Part II. Graph Theory -- Chapter 11. Basics of Graph Theory -- Chapter 12. Moving through graphs -- Chapter 13. Euler and Hamilton -- Chapter 14. Graph Colouring -- Chapter 15. Planar graphs -- Part III. Design Theory -- Chapter 16. Latin squares -- Chapter 17. Designs -- Chapter 18. More designs -- Chapter 19. Designs and Codes -- Appendix A. Complex Numbers -- Appendix B. Biographical Briefs -- Appendix C. Solutions to Selected Exercises -- Appendix D. List of Notation -- Index | |
| 520 | 0 | |a Combinatorics is an upper-level introductory course in enumeration, graph theory, and design theory. | |
| 542 | 1 | |f Attribution-NonCommercial-ShareAlike | |
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource | |
| 650 | 0 | |a Computer Science |v Textbooks | |
| 710 | 2 | |a Open Textbook Library |e distributor | |
| 856 | 4 | 0 | |u https://open.umn.edu/opentextbooks/textbooks/494 |z Access online version |