MATHS index
This folder collects reusable mathematical tools, from precise notation to advanced structures. The aim is not to duplicate a textbook, but to keep compact notes that make Andrew’s physics, ML, and programming notes easier to reason about.
Local structure
- Maths MOC — the main map of content.
- MATHS Key concepts — high-level concepts that recur everywhere.
- MATHS Equations and definitions — symbols and definitions used across subfields.
- MATHS Examples — short examples that connect different areas.
- MATHS Common pitfalls — common traps and sanity checks.
Sub-areas
- Fundamental index: functions, constants, algebraic notation, and mathematical language.
- Set theory index: sets, relations, mappings, intervals, and Number sets.
- Calculus MOC: local change and accumulated quantities.
- Linear Algebra MOC: vector spaces, bases, operators, eigenvectors, and Hilbert-space language for quantum mechanics.
- Geometry MOC: shapes, spaces, curvature, and spatial reasoning.
- Vector Calculus index: vector fields and operators used heavily in physics.
- Stats index and ML index: uncertainty, data, and optimisation.
How to use these notes
Start with the smallest note that names the object you are manipulating, then jump to examples. For physics, check whether the maths object also needs units: a bare number, a vector in metres, and a rate in metres per second behave differently even when the algebra looks identical.
Parent map: 00 Vault MOC.