By Peter J. Cameron

Enumerative combinatorics, in its algebraic and analytic kinds, is essential to many components of arithmetic, from version idea to statistical mechanics. This ebook, which stems from a long time' event of training, invitations scholars into the topic and prepares them for extra complex texts. it really is appropriate as a category textual content or for person learn. the writer presents proofs for plenty of of the theorems to teach the diversity of concepts on hand, and makes use of examples to hyperlink enumerative combinatorics to different parts of analysis. the most element of the booklet introduces the major instruments of the topic (generating services and recurrence relations), that are then used to review crucial combinatorial gadgets, particularly subsets, walls, and variations of a collection. Later chapters care for extra specialized themes, together with permanents, SDRs, staff activities and the Redfield-Pólya thought of cycle indices, Möbius inversion, the Tutte polynomial, and species.

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