Foundations (기초)
| Mathematical Logic (수리 논리학) | |
| History of Math (수학사) | |
| Set Theory (집합론) | |
| - Banach-Tarski paradox (바나흐-타르스키 역설) |
Analysis (해석학)
| Calculus (미적분학) | |
| - Vector Calculus (벡터 미적분학) | |
| Real Analysis (실해석학) | |
| Complex Analysis (복소해석학) | |
| Measure Theory (측도론) | |
| Functional Analysis (함수해석학) |
Algebra (대수학)
| Arithmetic (산술) | ||
| Number Theory (정수론) | ||
| Linear Algebra (선형대수학) | ||
| Matrix Algebra (행렬대수학) | ||
| Abstract Algebra (추상대수학) | ||
| - 환(ring)에서 체(field) 까지 | ||
| - Banach Algebra (Banach 대수) | ||
| - Jordan Algebra (Jordan 대수) |
Geometry (기하학)
| Euclidean Geometry (유클리드기하학) | |
| Differential Geometry (미분기하학) | |
| General Topology (위상수학) | |
| - Metric Space (거리 공간) |
Discrete Mathematics (이산수학)
| Combinatorics (조합론) | |
| Graph Theory (그래프이론) |
Applied Mathematics (응용수학)
| Probability & Statistics (확률통계) | |
| Differential Equations (미분방정식) | |
| - Laplace Transformation (라플라스 변환) | |
| Numerical Analysis (수치해석학) | |
| Optimization (최적화이론) | |
| - Convex Analysis (볼록 해석학) |