Publisher: Wikibooks 2012
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 like chess, in which the moves you make are exact, problems where tools like calculus fail because there's no continuity, problems that appear all the time in games, puzzles, and computer science.
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by Herbert S. Wilf - A K Peters, Ltd.
The book about main ideas on generating functions and some of their uses in discrete mathematics. Generating functions are a bridge between discrete mathematics and continuous analysis. The book is suitable for undergraduates.
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 Jean Gallier - arXiv
These are notes on discrete mathematics for computer scientists. The presentation is somewhat unconventional. I emphasize partial functions more than usual, and I provide a fairly complete account of the basic concepts of graph theory.
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.