Discrete Structure Handwritten notes www.RanaMaths.com PU

**Discrete Structures** is a branch of mathematics that deals with objects that are distinct and separate rather than continuous. It forms the foundation for many areas of computer science.

### Core Topics in Discrete Structures

**Set Theory:**Deals with collections of objects called sets. You’ll learn about set operations, relations, and functions.**Logic:**Explores the principles of reasoning and argumentation. You’ll study propositional and predicate logic, proofs, and methods of proof.**Number Theory:**Concerned with the properties of integers. You’ll explore divisibility, modular arithmetic, and prime numbers.**Combinatorics:**Focuses on counting techniques and arrangements. You’ll study permutations, combinations, and the pigeonhole principle.**Graph Theory:**Deals with networks of points (vertices) connected by lines (edges). You’ll learn about graph representations, graph traversals, and graph algorithms.**Recurrence Relations:**These are equations that define a sequence recursively, based on previous terms. You’ll study how to solve and analyze them.