By John M. Harris,Jeffry L. Hirst,Michael J. Mossinghoff

This e-book developed from numerous classes in combinatorics and graph conception given at Appalachian nation collage and UCLA. bankruptcy 1 makes a speciality of finite graph idea, together with bushes, planarity, coloring, matchings, and Ramsey concept. bankruptcy 2 reviews combinatorics, together with the primary of inclusion and exclusion, producing services, recurrence family members, Pólya idea, the reliable marriage challenge, and several other vital sessions of numbers. bankruptcy three provides endless pigeonhole rules, König's lemma, and Ramsey's theorem, and discusses their connections to axiomatic set thought. The textual content is written in an enthusiastic and full of life sort. It contains effects and difficulties that pass subdisciplines, emphasizing relationships among varied components of arithmetic. additionally, contemporary effects seem within the textual content, illustrating the truth that arithmetic is a residing self-discipline. The textual content is basically directed towards upper-division undergraduate scholars, yet lower-division undergraduates with a penchant for facts and graduate scholars looking an creation to those topics also will locate a lot of interest.

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