"The writing style is excellent. Roberts' original text has always been one of my favorites and the new edition maintains the same high standards. Roberts and Tesman reads as well as the original, I'm pleased to say. The explanations are detailed enough that the students can follow the arguments readily. The motivating examples are a truly strong point for the text. No other text with which I am familiar comes even close to the number of applications presented here." — John Elwin, San Diego State University

"I began using this book last fall in an undergraduate course. I used it because I believe it is one of the best books on the market for the purpose of this class. The text is written clearly throughout. The book is very well suited for a junior/senior course consisting of mathematics and computer science majors." — Joachim Rosentahal, University of Notre Dame

"The new material in this reviewed manuscript makes this new edition even stronger than the old text. I love the inclusion of extra material on cryptography and code. The writing style is clear and straightforward. The examples and clarity of explanations are quite good." — Edward Allen, Wake Forest University

Product Description
For courses in undergraduate Combinatorics for juniors or seniors.

This carefully crafted text emphasizes applications and problem solving. It is divided into 4 parts. Part I introduces basic tools of combinatorics, Part II discusses advanced tools, Part III covers the existence problem, and Part IV deals with combinatorial optimization.

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4.0 out of 5 stars One of the best math books written, 21 Jul 1999

By A Customer

This review is from: Applied Combinatorics (Hardcover)

This is one of the best mathematics books I have ever read. I used this in a discrete modeling course. Unfortunately, we didn't cover some of the more interesting topics like coding theory. I've since graduated and when I get a penchant to study a little math, this is the book I go to first because there is such a diverse array of topics presented in a clear, concise manner. I only wish there was a new edition.

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4.0 out of 5 stars Interesting appplications, many in Computer Science., 23 Aug 1998

By A Customer

This review is from: Applied Combinatorics (Hardcover)

This book offers a good mix of both theory and practice. Roberts does writes well the proofs, but doesn't get lost in the stratosphere of theory, instead coming down to Earth with a huge collection of applications. It has many good chapters in enumerative combinatorics, which are well written and offers an array of applications. These chapters teach how to count in a friendly way, and the students should enjoy them. For example, the topic on counting with repeated elements is very enjoyable. The chapter on Polya's Theory, which is a difficult subject is presented in a very ``user-friendly'' approach with intermediate applications, that allow the reader to understand more thoroughly the subject. This is just one of many examples of the good writing skills of Roberts. It also has several chapters on graph theory, with an even greater emphasis on its applications. These chapters deal with the subject both from a mathematician point of view, with interesting theorems, and from the point of view of the computer scientist, with several graph algortihms. The chapter on networks and the Ford-Fulkerson algorithm and its applications is very well written. Also very good is the chapter on codes. Unfortunately it ties the Hadamard codes with a previous chapter on designs, when it can be covered with slight alterations independently. Another good interesting feature of the book is the bibliography, which invites further exploration of the topics. The exercises both complement the theory and show how it is applied. Furthermore, there are many examples of applications which ``continue'' from one chapter to another, exploring them from many different points of view. In general this is an extremely recommendable book for those interested either in how to count things, and also in those interested in Computer Science. I have used for two different (introductory) courses (one of each kind) with high success in both cases. (Although in the course in Computer Science I had to complement the book with others). In short, if you have to teach an introductory course in either enumerative combinatorics, graph theory and/or graph algorithms this may be your book. The only drawback is perhaps the time elapsed since published. I wonder whether there is a new edition. If there is not, there should be. Roberts' style is magnificent.

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