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A Course in Enumeration (Graduate Texts in Mathematics) Hardcover – 26 Jun 2007
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"In this graduate textbook on enumerative combinatorics, the author follows the classic structure of basics-methods-special topics. ... Each chapter ends with a Highlight , which is a specific, high-level application of the material learned in that chapter. This will benefit instructors and interested students alike. ... the book will broaden access to several special topics and will turn them into more mainstream knowledge. The scope of the book is large, so most readers will find several sections that will teach them many facts, methods and theories." --Miklós Bóna, Mathematical Reviews, Issue 2008 f
"The techniques one needs to be an expert in enumeration are very involved, sometimes quite genius. … This book moves this important technique much closer to the classrooms than it used to be. … The arguments throughout the book are very clear, many exercises are presented … . This way the lecturers with talented audience will find many ideas how to hold out the beauty behind the dry techniques. We highly recommend this book for anyone related to enumeration … ." --Péter Hajnal, Acta Scientiarum Mathematicarum, Vol. 74, 2008
"The book is divided into three parts ... . the structure and topics of this book are well-designed, and there are nearly 700 exercises sprinkled throughout many with hints and solutions in the back which make the book far more appealing. I think it would be a good ... textbook for any graduate student wishing to learn about enumerative combinatorics." --Darren Glass, MathDL, January, 2008
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Most helpful customer reviews on Amazon.com
Amazon.com: 1 reviews
On Enumeration without enumerative exposition, enjoyably organized and progressive
12 March 2014 - Published on Amazon.com
6 people found this helpful.
Enumerative combinatorics often gets the handbook or encyclopedia treatment owing to the enormous breadth and discontinuity of the subject and the seeming infinite binomial identities that doge the subject. Such variety, much complication. On the flip side, you might find a tome based on a pet-species-framework that tries to be the one finite ring to rule them all, and haz a cheezburger at the same time. Lucky for us, we have a happy medium right here in this book. It's well-organized and cohesively laid out. The author addresses the issues of mixed-bag wikinomics vs. exposition from the start, taking his cue from John Riordan's earlier attempts at unification of identities. Concrete in focus (as enumeration should be), the author stays away from name dropping in the Grand Eponymous Taxonomy game of inter-disciplinary authorial backscratching. Nor is it heavily weighted toward "word" trends in combinatorics, or even the analytic generating function aspects (both are still discussed in limited form). You've probably have your own sources for that, and the book is thick enough already. It has a weakness to my mind, it's a lack of "open problems" and relatedness to open problems recently solved or otherwise.
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