by Herbert S. Wilf
Publisher: A K Peters, Ltd. 2006
Number of pages: 245
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; and 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.
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Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous. This book will help you think well about discrete problems: problems where tools like calculus fail because there's no continuity.
by C. D. H. Cooper - Macquarie University
This is a text on discrete mathematics. It includes chapters on logic, set theory and strings and languages. There are some chapters on finite-state machines, some chapters on Turing machines and computability, and a couple of chapters on codes.
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