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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by Kenneth H. Rosen - Mcgraw-Hill College
This is a guide to help you explore concepts in discrete mathematics using the computer system Maple. It is designed to be accessible to those who are complete novices with Maple and with computer programming, but it has much to offer even experts.
by Kenneth R. Koehler - University of Cincinnati Blue Ash College
This book is an introduction to the mathematics used in the design of computer and network hardware and software. We will survey topics in computer arithmetic and data representation, logic and set theory, graph theory and computer measurement.
by Vladlen Koltun - Stanford University
Contents: Sets and Notation; Induction; More Proof Techniques; Divisibility; Prime Numbers; Modular Arithmetic; Relations and Functions; Mathematical Logic; Counting; Binomial Coefficients; Inclusion-Exclusion Principle; Pigeonhole Principle; etc.
by Petter Holme, Jari Saramäki - arXiv
In this review, the authors present the emergent field of temporal networks, and discuss methods for analyzing topological and temporal structure and models for elucidating their relation to the behavior of dynamic systems.