The Joy of Finite Mathematics

Chris P. Tsokos is Distinguished University Professor of Mathematics and Statistics at the University of South Florida. Dr. Tsokos’ research has extended into a variety of areas, including stochastic systems, statistical models, reliability analysis, ecological systems, operations research, time series, Bayesian analysis, and mathematical and statistical modelling of global warming, both parametric and nonparametric survival analysis, among others. He is the author of more than 400 research publications in these areas, including Random Integral Equations with Applications to Life Sciences and Engineering, Probability Distribution: An Introduction to Probability Theory with Applications, Mainstreams of Finite Mathematics with Applications, Probability with the Essential Analysis, Applied Probability Bayesian Statistical Methods with Applications to Reliability, and Mathematical Statistics with Applications, among others. Dr. Tsokos is the recipient of many distinguished awards and honors, including Fellow of the American Statistical Association, USF Distinguished Scholar Award, Sigma Xi Outstanding Research Award, USF Outstanding Undergraduate Teaching Award, USF Professional Excellence Award, URI Alumni Excellence Award in Science and Technology, Pi Mu Epsilon, election to the International Statistical Institute, Sigma Pi Sigma, USF Teaching Incentive Program, and several humanitarian and philanthropic recognitions and awards. He is also a member of several academic and professional societies, and serves as Honorary Editor, Chief-Editor, Editor or Associate Editor for more than twelve academic research journals. Prof. Tsokos has directed the doctoral research and been the mentor of more than 65 students. Rebecca D. Wooten is Assistant Professor of Mathematics and Statistics at the University of South Florida. In 15 years of teaching, she has been recognized for her excellence in teaching courses such as Liberal Arts Math, Basic Statistics, Introduction to Statistics and Applied Statistics Methods. Her research interests are concentrated in Applied Statistics with emphasis on Environmental Studies. Professor Wooten is extensively involved in activities to improve education not only in Mathematics and Statistics, but Education in general. She is the Academic Coordinator for two free-educational assistance program which offer opportunities for students to volunteer and the local community to get the assistance in their studies that they would have otherwise been unable to afford.

Chapter 1: The Usefulness of MathematicsChapter 2: Logic Chapter 3: SetsChapter 4: Counting Techniques Chapter 5: Basic ProbabilityChapter 6: Binomial Probability Chapter 7: Normal ProbabilityChapter 8: Descriptive StatisticsChapter 9: Geometry Chapter 10: Arithmetic & Basic AlgebraChapter 11: FinanceChapter 12: Game TheoryAppendices: Charts and Tables