Discrete mathematics is a branch of math that deals with structures having specific values, as opposed to continuously varying values. There are analogies in signal processing to digital and analog signals, and in science to quantum and classical modeling of atomic and molecular systems. Discrete math is naturally extended, through computer programming algorithms, to analysis of complex infrastructure systems like telecommunication routing, utility distribution, highway and traffic pattern studies, and many others.
Any course in discrete math will cover the following topics:
- logic and proofs
- sets, functions, sequences and sums
- algorithms, integers, and matrices
- induction and recursion
- mathematical induction
- discrete probability
- advanced counting techniques
- boolean algebra
- modeling computation
A fabulous resource for discrete mathematics can be found at the online forum Science Direct, where refereed journal articles are available, although not for free. This is the real deal, where the latest research is being done in the field.
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