07-05-2012, 11:53 AM
Discrete Mathematics
Define Discrete Mathematics
Discrete mathematics is the branch of mathematics dealing with objects that can assume only distinct, separated values. The term "discrete mathematics" is therefore used in contrast with "continuous mathematics," which is the branch of mathematics dealing with objects that can vary smoothly (and which includes, for example, calculus). Whereas discrete objects can often be characterized by integers, continuous objects require real numbers.
Why do we need to study Discrete Mathematics?
The study of topics in discrete mathematics usually includes the study of algorithms, their implementations, and efficiencies. Discrete mathematics is the mathematical language of computer science, and as such, its importance has increased dramatically in recent decades.
Differentiate Logic from Propositions
A proposition is a statement that is either true or false. A proposition is a mathematical statement such as "3 is greater than 4," "an infinite set exists," or "7 is prime."
Logic a particular mode of reasoning viewed as valid or faulty. The formal mathematical study of the methods, structure, and validity of mathematical deduction and proof.