What is in the world is descrete mathematics all about Solut

What is in the world is descrete mathematics all about ?

Solution

\"Discrete Math\" is not the name of a branch of mathematics, like number theory, algebra, calculus, etc.

Rather, it\'s a description of a set of branches of math that all have in common the feature that they are \"discrete\" rather than \"continuous\".

The members of this set include (certain aspects of):

Discrete math is very much \"real world\" mathematics.

Discrete math teaches mathematical reasoning and proof techniques.

Algebra is often taught as a series of formulas and algorithms for students to memorize (for example, the quadratic formula, solving systems of linear equations by substitution, etc.), and geometry is often taught as a series of \"definition-theorem-proof\" exercises that are often done by rote (for example, the infamous \"two-column proof\"). While undoubtedly the subject matter being taught is important, the material (as least at the introductory level) does not lend itself to a great deal of creative mathematical thinking. By contrast, with discrete mathematics, students will be thinking flexibly and creatively right out of the box. There are relatively few formulas to memorize; rather, there are a number of fundamental concepts to be mastered and applied in many different ways.