Description
Book SynopsisThese award-winning textbook targets the gap between introductory texts in discrete mathematics and advanced graduate texts in enumerative combinatorics. The authorâs goal is to make combinatorics more accessible to encourage student interest and to expand the number of students studying this rapidly expanding field.
The book first deals with basic counting principles, compositions and partitions, and generating functions. It then focuses on the structure of permutations, graph enumeration, and extremal combinatorics. Lastly, the text discusses supplemental topics, including error-correcting codes, properties of sequences, and magic squares.
Updates to the Third Edition include:
Quick Check exercises at the end of each section, which are typically easier than the regular exercises at the end of each chapter.
A new section discussing the Lagrange Inversion Formula and its applications, strengthening the analytic flavor of the book.
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