Differences between finite math and discrete math?

Answer 1

Discrete Mathematics is the mathematical study of constructs that are not continuous. Addition over the set of integers is discrete as apposed to the continuous constructs of division over the set or real numbers. Topics included range over: Set theory, Combinatorics, Graph Theory, Probability, Number Theory, Numerical Analysis (Computer Science), Geometry, Topology, Game Theory (also called decision theory or utility theory), Information Theory, Logic, some forms of Algebra, Discrete Calculus, the study of Rings/Groups and Mappings.

Finite Mathematics is a colloquial term used to describe a subset of discrete mathematics. Most commonly finite mathematics is a college bossiness course covering finite (not infinite) problems in probability theory, linear programming, basic concepts of matrices, and simple Calculus (of finite differences).

The major difference in the two topics is that finite mathematics covers a limited scope of problems (business related) using only a small set of the discrete mathematic tools for domains and ranges that are finite. Discrete mathematics covers any possible problem that a mind can imagine, using a vast array of diverging techniques, for problems that potentially have infinite domains and/or ranges (sometimes the problems go beyond the basic confines of domains and ranges).