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Finite Mathematics: An Introduction with Applications in Business, Social Sciences, and Music
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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
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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.
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