Discrete mathematics concerns processes that consist of a sequence of individual steps. This distinguishes it from calculus which studies continuously changing processes.
Discrete mathematics does not fit into just one single branch of mathematics. Rather, it serves as an overarching umbrella term that groups together several distinct fields of study focused on separable, distinct objects rather than continuous spectra. It acts as a peer to major pillars like continuous mathematics (calculus and analysis) rather than a sub-branch beneath them.
Core Sub-Fields
Combinatorics: Counting, arranging, and finding patterns in finite sets.
Graph Theory: Studying networks, connections, relationships, nodes, and edges.
Mathematical Logic: Formal reasoning, proof techniques, and boolean algebra.
Set Theory: The study of collections of distinct objects.
Number Theory: Properties of integers and modular arithmetic.
Information Theory:
Operations Research:
Game Theory: mathematical structures and strategic decision-making in finite or countable settings
