Topics in Discrete Mathematics
by A.F. Pixley
Publisher: Harvey Mudd College 2010
Number of pages: 173
This text is intended as 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 elementary computer programming.
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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.
by Edward A. Bender, S. Gill Williamson - University of California, San Diego
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.
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.
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.