Cambridge Studies in Advanced Mathematics Volume Enumerative Combinatorics Volume This text is the first of a two volume basic introduction to enumerative combinatorics at a level suitable for graduate students and research mathematicians It concentrates on the theory and applicati

This text is the first of a two volume basic introduction to enumerative combinatorics at a level suitable for graduate students and research mathematicians It concentrates on the theory and application of generating functions, a fundamental tool in enumerative combinatorics The book covers those parts of enumerative combinatorics of greatest applicability to other areasThis text is the first of a two volume basic introduction to enumerative combinatorics at a level suitable for graduate students and research mathematicians It concentrates on the theory and application of generating functions, a fundamental tool in enumerative combinatorics The book covers those parts of enumerative combinatorics of greatest applicability to other areas of mathematics The four chapters are devoted to an introduction to enumeration suitable for advanced undergraduates , sieve methods including the Principle of Inclusion Exclusion , partially ordered sets, and rational generating functions There are a large number of exercises, almost all with solutions, which greatly augment the text and provide entry into many areas not covered directly Graduate students and research mathematicians who wish to apply combinatorics to their work should find this a useful reference.

This is my current favorite bathroom literature (my copy of Weisstein's Encyclopedia of mathematics is tucked away somewhere in my ex-gf's cellar) The info density of this book is just incredible!

Awesome textbook. This book is meant to be "read" with pencil and paper in hand. The presentation clearly comes from an author who just loves to "count", and is an expert at it.