Fundamentals of Finite Mathematics

Contents: Preface. 1. Variants and generalizations. 2. Overview of finite mathematics. 3. Counting techniques. 4. Complex exponents with positive real bases. 5. Game theory. 6. The sum of two quadratics. 7. Standard deviation. 8. Rule of sum. 9. Methods of matrix inversion. Bibliography. Index. The term finite mathematics is sometimes applied to parts of the field of discrete mathematics that deals with finite sets, particularly those areas relevant to business. For example a system of linear equations is a modelling technique that can be applied to many real world situations including business and economics finance life sciences social sciences compute sciences and the physical sciences. Hence in finite mathematics we learn methods to solve systems of linear equations. Of course, not all situations in the real world are bound by equality and therefore we need to learn how to model using inequalities and how to solve a system of linear inequalities. These techniques form the basis of operations research that has applications in transportation shipping scheduling and optimization. Basic financial mathematics is also in the realm of finite mathematics with a particular emphasis in compound interest, future values of annuities, present values of annuities and amortization.