Includes bibliographical references (pages 515-520) and index.

Basic methods -- Direct applications of basic methods -- Generating functions -- Counting permutations -- Counting graphs -- Extremal combinatorics -- Symmetric structures -- Sequences in combinatorics -- Counting magic squares and magic cubes -- The method of mathematical induction

Written by one of the leading authors and researchers in the field, this comprehensive modern text offers a strong focus on enumeration, a vitally important area in introductory combinatorics crucial for further study in the field. Miklós Bóna's text fills the gap between introductory textbooks in discrete mathematics and advanced graduate textbooks in enumerative combinatorics, and is one of the very first intermediate-level books to focus on enumerative combinatorics. The text can be used for an advanced undergraduate course by thoroughly covering the chapters in Part I on basic enumeration and by selecting a few special topics, or for an introductory graduate course by concentrating on the main areas of enumeration discussed in Part II. The special topics of Part III make the book suitable for a reading course.

This text is part of the Walter Rudin Student Series in Advanced Mathematics.

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English text.