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
3. Matrix Calculus - Relation and change
- Python Modules: NumPy, SymPy, PyTorch, TensorFlow
4. Abstract Algebra - Groups, Rings, Fields
- Group Theory, Galois Theory
5. Euclidean Geometry & Differential Geometry - Shape / Manifold
- Python Modules: Shapely, PyGeo, GeoPandas
6. Probability - Chance
- Python Modules: SciPy, random
7. Statistics - Analysis
- Python Modules: Pandas, NumPy, Statsmodels, Scikit-learn
8. Algebraic Topology