CORE_CONCEPTS
1. Mathematical Logic
The foundation of all mathematical reasoning. Includes propositional logic, predicates, and quantifiers. Understanding truth tables and logical equivalences is critical for algorithm design.
- P ∧ Q (AND)
- P ∨ Q (OR)
- P → Q (IMPLICATION)
2. Set Theory
Groups of objects and their relations. Unions, intersections, and power sets form the basis of data structures.
- A ∪ B (Union)
- A ∩ B (Intersection)
- A ⊆ B (Subset)
GRAPH_THEORY
V
VERTICES
E
EDGES
G(V,E)
GRAPH
"Modeling complex networks with zero margin for error."
KEY_RESOURCES
Rosen's Discrete Math
The 'Bible' of discrete mathematics.
MIT 6.042J
Mathematics for Computer Science.
Discrete Structures
Foundational CS degree curriculum.
Induction Proofs
Mastering recursion and derivation.