by Petter Holme, Jari Saramäki
Publisher: arXiv 2011
Number of pages: 25
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.
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by A.F. Pixley - Harvey Mudd College
This text is an introduction to a selection of topics in discrete mathematics: Combinatorics; The Integers; The Discrete Calculus; Order and Algebra; Finite State Machines. The prerequisites include linear algebra and computer programming.
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Applied Finite Mathematics covers topics including linear equations, matrices, linear programming (geometrical approach and simplex method), the mathematics of finance, sets and counting, probability, Markov chains, and game theory.
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In this book, four basic areas of discrete mathematics are presented: Counting and Listing, Functions, Decision Trees and Recursion, and Basic Concepts in Graph Theory. At the end of each unit is a list of Multiple Choice Questions for Review.
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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.