DMS for basic knowledge of discrete mathematical structures

1. DISCRETE
MATHEMATICAL
STRUCTURES
DONE BY
M.HASISH
CSE-B 1ST
YEAR

2. What are Discrete Mathematical
structures
 Discrete Mathematical Structures are mathematical concepts that
are foundational to computer science and related fields.
 Examples: Sets, Graphs, Logic, Functions, and Relations

3. Why Study Discrete Mathematics?
 Forms the basis of algorithms and data structures.
 Crucial for problem-solving and logical thinking.
 Applications in cryptography, network theory, and software
engineering.

4. Sets and Their Operations
 Basic operations: Union, Intersection, Difference, and Complement.
 Example: {1, 2, 3} {3, 4, 5} = {1, 2, 3, 4, 5}.
∪

5. Introduction to Graph Theory
 a graph is a pictorial representation of any data in an organised
manner. The graph shows the relationship between variable
quantities
 Types of graphs: Directed, Undirected, Weighted, etc.
 Real-life applications: Social networks, shortest path algorithms.

6. Combinatorics
 Permutations:
 A mathematical calculation of the number of ways a
particular set can be arranged. Put simply, a permutation is a word
that describes the number of ways things can be ordered or
arranged. With permutations, the order of the arrangement matters.
 Combinations:
 a combination is a selection of items from a set that
has distinct members, such that the order of selection does not
matter

7. Real-World Applications
 Cryptography
 network theory
 software engineering

8. Conclusion
 Discrete mathematics is used to study formal languages and
automata, and it is an important foundation for studying computer
science and information technology.
 Discrete mathematics is also used in designing and analyzing digital
circuits, which are used to build computers and other electronic
devices