Finite Mathematics

Author Andrew McHugh presents Finite Mathematics: An Introduction with Applications in Business, Social Sciences, and Music (1st Edition), a textbook engineered to cultivate quantitative reasoning in undergraduate studies. Released by Academic Press, the material equips students with essential discrete mathematical methods needed to satisfy core university mathematics requirements.

The content integrates foundational abstract topics with applied real-world decision models. Initial sections address symbolic logic, set operations, combinatorial principles, functional relations, sequences, and summations. The coverage further expands into probability theory, elementary statistics, matrix methods for linear systems, linear programming via the simplex algorithm, and stochastic processes using Markov chains.

Complementing the main mathematical framework, the work explores applied domains including game theory, voting mechanics, apportionment, financial calculations, graph theory, and musical structures. Supported resource materials include lecture slides, sample examinations, project assignments, a solutions manual, and companion datasets for classroom use. The volume fits undergraduate quantitative reasoning offerings across diverse academic tracks.