Focusing on the core material of value to students in a wide variety of fields, this book presents a broad comprehensive survey of modern combinatorics at an introductory level. The author begins with an introduction of concepts fundamental to all branches of combinatorics in the context of combinatorial enumeration. Chapter 2 is devoted to enumeration problems that involve counting the number of equivalence classes of an equivalence relation. Chapter 3 discusses somewhat less direct methods of enumeration, the principle of inclusion and exclusion and generating functions. The remainder of the book is devoted to a study of combinatorial structures.
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4 of 4 people found the following review helpful:
3.0 out of 5 stars
Reasonable, but not exceptional text,
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This review is from: Introductory Combinatorics (Hardcover)
Bogart has done a decent job with this text. It does a good job of covering a broad selection of topics and is generally readable. Beware the typographical errors, as they are often very subtle and leave you wondering if it was an error or if you just don't understand. Don't let Chapter 1 give you the wrong impression of the text, as it belabors things much more than the rest of the text does. It initally left a bad taste in my mouth, but the remainder of the book provides the right amount of exposition, except for a few points in Chapter 6 (Combinatorial Designs) where Bogart leaves too many proofs as exercises without giving a sufficient idea on how to complete the proof.
3 of 8 people found the following review helpful:
5.0 out of 5 stars
One of the most complete combinatorics books around...,
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This review is from: Introductory Combinatorics (Hardcover)
I was amazed at the quality of the descriptions in this book. It has easy to understand examples and does a very good job of connecting combinatorics and graph theory. It even has integer partitions and Stirling numbers.
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