Free PDF generatingfunctionology: Third Edition, by Herbert S. Wilf
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generatingfunctionology: Third Edition, by Herbert S. Wilf
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Generating functions, one of the most important tools in enumerative combinatorics, are a bridge between discrete mathematics and continuous analysis. Generating functions have numerous applications in mathematics, especially in - Combinatorics - Probability Theory - Statistics - Theory of Markov Chains - Number Theory One of the most important and relevant recent applications of combinatorics lies in the development of Internet search engines whose incredible capabilities dazzle even the mathematically trained user.
- Sales Rank: #211590 in Books
- Brand: Brand: A K Peters/CRC Press
- Published on: 2005-12-20
- Original language: English
- Number of items: 1
- Dimensions: 9.02" h x .63" w x 5.98" l, .0 pounds
- Binding: Hardcover
- 192 pages
- Used Book in Good Condition
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"
Most helpful customer reviews
0 of 0 people found the following review helpful.
Five Stars
By CL
Good book for gf. Has some typos.
2 of 3 people found the following review helpful.
Fun Math at the Higher Levels
By Code
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.
1 of 2 people found the following review helpful.
Great introduction to generating functions
By Some guy
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).
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