Discrete Structures is a subject in computer science engineering which basically deals in Mathematics and it is commonly referred as Discrete mathematics
Hence we can define it as ,Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous.
Now what does Discrete and Continuous means?
So, basically Discrete means distinct and Continuous means without interruption
Continuous Structures − It is based upon continuous number line or the real numbers. It is characterized by the fact that between any two numbers, there are almost always an infinite set of numbers. For example, a function in continuous mathematics can be plotted in a smooth curve without breaks.
Discrete Mathematics − It involves distinct values; i.e. between any two points, there are a countable number of points. For example, if we have a finite set of objects, the function can be defined as a list of ordered pairs having these objects, and can be presented as a complete list of those pairs.
The Topics which we are going to study are as follows :-
Hence we can define it as ,Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous.
Now what does Discrete and Continuous means?
So, basically Discrete means distinct and Continuous means without interruption
Continuous Structures − It is based upon continuous number line or the real numbers. It is characterized by the fact that between any two numbers, there are almost always an infinite set of numbers. For example, a function in continuous mathematics can be plotted in a smooth curve without breaks.
Discrete Mathematics − It involves distinct values; i.e. between any two points, there are a countable number of points. For example, if we have a finite set of objects, the function can be defined as a list of ordered pairs having these objects, and can be presented as a complete list of those pairs.
The Topics which we are going to study are as follows :-
- Sets, Relations and Functions
- Mathematical Logic
- Group theory
- Counting Theory
- Probability
- Mathematical Induction and Recurrence Relations
- Graph Theory
- Trees
- Boolean Algebra
I will be dealing with each and every topics in coming posts.
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