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generatingfunctionology: Third Edition
Free Download generatingfunctionology: Third Edition
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Review
" ""Wilf's writing is clear and friendly; his exorcises are instructive and plentiful... This book is valuable reading for even the best of specialists..."" -E. Rodney Canfield, The Mathematical Intelligencer , March 1993 ""This is a first rate, carefully planned and executed book written by a 'black belt gereratingfunctionologist.' I'll be using it the next time I teach..."" -George Andrews, SIAM News, October 1994 ""Wilf's book is very well-written and easy to read by any serious mathematics student. Scientists in other disciplines often encounter the need to study sequences that naturally arise in their own discipline. The book is well-suited fo them, too."" -Short Book Reviews, January 2006"
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Product details
Hardcover: 192 pages
Publisher: A K Peters/CRC Press; 3 edition (December 20, 2005)
Language: English
ISBN-10: 9781568812793
ISBN-13: 978-1568812793
ASIN: 1568812795
Product Dimensions:
6 x 0.6 x 9 inches
Shipping Weight: 1 pounds (View shipping rates and policies)
Average Customer Review:
4.5 out of 5 stars
11 customer reviews
Amazon Best Sellers Rank:
#570,567 in Books (See Top 100 in Books)
This is not an entry level book. The notation could be clearer. It assumes you know alot about series and some calculus. But the topic and methods are useful analytic tools I've seen nowhere else.
Good book for gf. Has some typos.
Wonderful, friendly introduction to generating functions. Wilf has a great writing style. In particular, his presentation of the exponential formula in terms of cards, hands, and decks made it much more digestible than in the abstract. My only criticism is that his treatment of series occasionally lacks rigor, especially concerning the algebraic aspects of formal power series (namely convergence in the ring of formal power series).
Generatingfunctionology is a classic that should be in any mathematician's library. Wilf approaches generating functions from every angle you can think of, from evaluating infinite series to counting abstract objects, and even to analytic methods for series. Each concept is explained clearly and plenty of thought-provoking exercises are available at the end of each chapter. Even though there is a free online version available from the author, I recommend buying the hard copy just to support Wilf for such a useful resource.
This is simply the best mathematics book I have ever read.
This book is freely available online, but it is so good that it is worth buying a hard-copy of, and it's reasonably priced too. I would advise potential buyers to check it out online; you'll probably find that you like it, and you'll probably buy it after you get tired of staring at your screen or making printouts.Wilf is an outstanding writer, among the best writers in mathematics; this book is a true pleasure to read. His explanations are lucid and he has a great sense of humor. This book is not particularly advanced, although it is one of those texts that you can keep coming back to; it takes quite some time to exhaust the material in it and I have certainly not come close to doing so. It covers generating functions in the form of ordinary power series, exponential power series, and Dirichlet series, and it touches on a few other types of generating functions as well. There is a chapter on the exponential formula and a chapter which explores a more systematic approach to counting. The last chapter is on analytic methods to study asymptotic approximations to counting functions. The book is well organized; topics flow naturally, and yet it is easy to skip topics and move around freely. The exercises are immensely useful. They start simple, but there are many of them and they become progressively more difficult in a natural way.This book would be suitable for an undergraduate course in combinatorics, and it also makes a good supplementary text for anyone studying combinatorics or possibly complex analysis at the graduate level. I find this book is excellent for self-study at any level as well. Check it out for yourself!
Generatingfunctionology is, in my opinion, one of the best mathematics books ever written. If you want to read one mathematics book that really makes a difference, this is it! I read the book twice, and I plan to read it again. I went from being rather inept at solving combinatorial problems to being a virtual "master" almost overnight! Wilf's writing style is clear, concise, and even humorous at times. Reading this book is like being blind and then having your eyes opened for the first time. Generating functions are an extremely powerful tool in number theory and combinatorics. Don't pass up this book! You may never become an Euler, but you sure can come close!
A good introduction to the theory of generating functions and their uses. In fact, the only readable introduction I could find. It is NOT one of those many generation functions books written by mathematicians for mathematicians.Shows lots and lots of neat tricks that become available for a "generatingfunctionologist" in the fields of combinatorics and probability.All the material is presented in a very clean, organized way, with good examples. I use it as a hands-on reference book.
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