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Combinatorics of Permutations

Miklós Bóna
Publisher: 
Chapman & Hall/CRC
Publication Date: 
2004
Number of Pages: 
383
Format: 
Hardcover
Series: 
Discrete Mathematics and Its Applications
Price: 
89.95
ISBN: 
1584884347
Category: 
Monograph
BLL Rating: 

The Basic Library List Committee recommends this book for acquisition by undergraduate mathematics libraries.

[Reviewed by
Herbert E. Kasube
, on
01/20/2001
]

This advanced level textbook grew out of a graduate combinatorics topics class. It serves that role quite well. The author discusses permutations as linear orders and as products of cycles. Applications are nicely sprinkled throughout the text. We see graph theory, geometric transformations, probability and more.

The exercise sets are lengthy containing problems of varied difficulty. Solutions (not just answers) to odd-numbered exercises appear at the end of the text. Somewhat unusual for a textbook of this type is a very extensive list of references with 208 entries. This feature alone will be attractive to researchers in the area.

This excellent text would serve a graduate seminar very well, but could also be used by advanced undergraduates who already have a background in combinatorics.


Herb Kasube is Professor of Mathematics at Bradley University.


The table of contents is not available.