Mathematics

Big Picture of Mathematics Beyond equations and theorems

1. Linear Algebra [Vector Spaces] - Relation

• Python Modules: NumPy, SciPy, SymPy

2. Calculus [Real and Complex Analysis] - Change

• Python Modules: SymPy, SageMath

Differential Equations and Linear Algebra

3. Matrix Calculus - Relation and change

• Python Modules: NumPy, SymPy, PyTorch, TensorFlow

4. Probability - Chance

• Python Modules: SciPy, random

5. Statistics - Analysis

• Python Modules: Pandas, NumPy, Statsmodels, Scikit-learn

6. Euclidean Geometry & Differential Geometry - Shape / Manifold

• Python Modules: Shapely, PyGeo, GeoPandas

7. Optimization - Analysis

• Python Modules: cvxpy, scipy
• CPP: MOSEK

Convex Optimization

8. Abstract Algebra - Groups, Rings, Fields

• Group Theory, Galois Theory

9. Algebraic Topology

• Homology, Cohomology