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

by Andrew McHugh PhD

Overview

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. - Introduces and reinforces core elements of Finite Mathematics in a sequential fashion - Considers a range of application areas, from game theory to voting, apportionment, finance, graph theory, and music - Engages STEM and non-STEM majors as they complete their initial requirements or general education requirement in Mathematics or Quantitative Reasoning - Includes a solutions manual, sample projects assignments, sample tests, lecture slides, and datasets on a companion website

Product Details

ISBN-13:	9780443290954
Publisher:	Elsevier Science & Technology Books
Publication date:	04/24/2025
Sold by:	Barnes & Noble
Format:	eBook
Pages:	400
File size:	37 MB
Note:	This product may take a few minutes to download.

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.

Table of Contents

1. Logic2. Set Theory3. Combinatorics-The Math of Counting4. Sequences, Summations and Summation Notation5. Functions and Functional Notation6. Elementary Probability Theory7. Elementary Statistics8. Linear Systems and Matrices9. Linear Programming10. Markov Chains11. Game Theory12. Math of Voting13. Math of Apportionment14. Math of Finance15. Graph Theory16. Math and Music