A Spiral Workbook for Discrete Mathematics
by Harris Kwong
Publisher: Open SUNY Textbooks 2015
Number of pages: 307
This is a text that covers the standard topics in a sophomore-level course in discrete mathematics: logic, sets, proof techniques, basic number theory, functions, relations, and elementary combinatorics, with an emphasis on motivation. It explains and clarifies the unwritten conventions in mathematics, and guides the students through a detailed discussion on how a proof is revised from its draft to a final polished form.
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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 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 Al Doerr, Ken Levasseur - Lulu.com
Applied Discrete Structures is a two semester undergraduate text in discrete mathematics, focusing on the structural properties of mathematical objects. These include matrices, functions, graphs, trees, lattices and algebraic structures.
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 where tools like calculus fail because there's no continuity.