Languages and Machines
by C. D. H. Cooper
Publisher: Macquarie University 2008
This is a text on discrete mathematics that discusses the mathematics behind computing science. 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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(multiple PDF files)
by W W L Chen - Macquarie University
Logic and sets, the natural numbers, division and factorization, languages, finite state machines, finite state automata, Turing machines, groups and modulo arithmetic, introduction to coding theory, group codes, public key cryptography, etc.
by Ken Bogart, Cliff Stein - Dartmouth College
It gives thorough coverage to topics that have great importance to computer scientists and provides a motivating computer science example for each math topic. Contents: Counting; Cryptography and Number Theory; Reflections on Logic and Proof.
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 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.