Invitation to Discrete Mathematics is at once an introduction and a thoroughly comprehensive textbook for courses in combinatorics and graph theory. It also contains introductory chapters for more specialized courses such as probabilistic methods, applied linear algebra, combinatorial enumeration, and operations research. A lively and entertaining style is combined with rigorous mathematics, and the many illustrations, examples and exercises make the book particularly accessible and user-friendly.

1. Introduction and basic concepts 2. Combinatorial counting 3. Graphs: an introduction 4. Trees 5. Drawing graphs in the plane 6. Double-counting 7. The number of spanning trees 8. Finite projective planes 9. Probability and probabilistic proofs 10. Generating functions 11. Applications of linear algebra Appendix: Prerequisites from algebra Bibliography Hints to selected exercises Index

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