Understanding Discrete Mathematics in Algebra

Discrete mathematics studies structures that are fundamentally discrete rather than continuous, such as integers, graphs, and statements in logic.

Logic and Proof

Logic forms the basis of mathematical reasoning. Proof techniques include direct, contrapositive, and induction.

Sets and Functions

Discrete mathematics explores sets, relations, and functions between sets.

Graphs and Trees

Graphs and trees are used to model networks and hierarchical structures.

Practice Problems

1. Prove that the sum of two even numbers is even.
2. Draw a simple graph with 4 vertices and 3 edges.
3. List all subsets of the set {a, b}.