am 1. April 2000
For a long time analytic combinatorics lacks a good and comprehensive textbook. Almost every learner in this field learns this subject via scattered papers and chapters in different books or journels. The apprearence of this book is so welcome by learners and researchers that it offers a excellent introduction of this powerful and relatively new field. Flajolet and Sedgewick are the famous masters of this field, and this book proves that again. The writing style is succinct, with instant exercise(s) after every important concept and result. The pace of this book is very natural and self-contained. The first half of this book deals with the basic tools used for analysis of algorithm, from the recurrence, generating function, to asymptotic approx. Then it discusses 2 most crucial subjects: trees and permutations. The last 2 chapter turns to strings and words. I found it very readble that there is a typical and core example in every chapter. BTW, since I still haven't finished studying this book, but I must say that Chapter 5 (Asymptotic) is among many textbooks the best introduction to this hard topic so far.
am 4. Februar 1999
I don't know whether the style of this book is good or not but for me the chapter on generating functions was very readable. At the time of reading I already have read several books for the understanding of generating functions; including Graham, Knuth, and Patashnik's "Concrete Mathematics," which is definitely great but difficult to me. I've got a solid understanding of the subject through two books: Polya et al's "Notes on Introductory Combinatorics" and Sedgewick and Flajolet's.