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Finite Mathematics: An Introduction with Applications in Business, Social Sciences, and Music presents core concepts of finite mathematics in a clear, intuitive fashion designed to reinforce understanding. The book begins with finite mathematics foundations, with explanations and exercises on combinatorics, logic, set theory, sequences and series, functions and functional notation, elementary probability, linear programming and systems, and Markov chains. Later chapters explore and explain a range of finite mathematics applications, from game theory to voting, apportionment, finance, graph theory, and the science and physics of music.
Written with an accessible, example-based approach, this book engages STEM and non-STEM students alike, preparing them for courses across a range of quantitative fields, social sciences, and the liberal arts. Problem-solving exercises are featured at the conclusion of each subsection, with corresponding answers in the appendix. The book is also accompanied by a solutions manual, sample projects assignments, tests, lecture slides, and datasets on a companion website.
List of contents
1. Logic
2. Set Theory
3. Combinatorics-The Math of Counting
4. Sequences, Summations and Summation Notation
5. Functions and Functional Notation
6. Elementary Probability Theory
7. Elementary Statistics
8. Linear Systems and Matrices
9. Linear Programming
10. Markov Chains
11. Game Theory
12. Math of Voting
13. Math of Apportionment
14. Math of Finance
15. Graph Theory
16. Math and Music
About the author
Andrew McHugh is an Assistant Teaching Professor of Mathematics at Penn State-Harrisburg. He completed his Ph.D. at Stony Brook University where his dissertation was in the area of Twistor Theory and Supergeometry. He has several academic publications in journals such as the Journal of Mathematical Physics, the Journal of Geometry and Physics, the International Journal of Pure and Applied Mathematics, the European Journal of Pure and Applied Mathematics, and Rivista di Matematica della Università di Parma. He has taught a wide range of mathematics courses from remedial to advanced upper level at several colleges and universities in the United States as well as a university in the United Arab Emirates.
