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Open SUNY Textbook: A Spiral Workbook for Discrete Mathematics
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. Published 2015.
Elements of Discrete Mathematics
Elements of Discrete Mathematics, by Richard Hammack. This is a free on-line text in PDF format.
This class is an introduction to methods of discrete mathematical structures and systems. Topics include sets, counting, logic, algorithms, methods of proof, induction, relations and functions. Published 2017.
Applied Discrete Structures
Authors are Alan Doerr and Kenneth Levasseur. Published 2017. The material for the first semester is in chapters 1-10 and includes logic, set theory, functions, relations, recursion, graphs, trees, and elementary combinatorics. The second semester material in chapters 11-16 deals with algebraic structures: binary operations, groups, matrix algebra, Boolean algebra, monoids and automata, rings and fields.
Discrete Mathematics: An Open Introduction
Discrete Mathematics: An Open Introduction is a free, open source textbook appropriate for a first or second year undergraduate course for math majors, especially those who will go on to teach. The textbook has been developed while teaching the Discrete Mathematics course at the University of Northern Colorado. Primitive versions were used as the primary textbook for that course since Spring 2013, and have been used by other instructors as a free additional resource. Since then it has been used as the primary text for this course at UNC, as well as at other institutions.