Fundamental index
This folder is for the basic mathematical language used everywhere else: functions, constants, notation, domains, and algebraic habits. “Fundamental” does not mean easy; it means these ideas are reused so often that small misunderstandings create errors in later topics.
Local links
- Euler’s number — the constant , natural growth, and links to logarithms.
- Function index — functions, domains, inverse functions, and mapping vocabulary.
- Fundamental Key concepts — the conceptual overview.
- Fundamental Equations and definitions — notation and definitions.
- Fundamental Examples — short applied examples.
- Fundamental Common pitfalls — common traps.
Related foundations
- Set theory index gives the language of sets, relations, and mappings.
- Number sets fixes whether a variable is integer, real, complex, etc.
- Intervals describe common domains for real-valued functions.
Downstream use
- Derivative and Integral both depend on functions with clear domains.
- Velocity, Energy, and other physics notes use functions of time, position, or field variables.
- ML index uses functions as models, losses, transformations, and probability maps.
Parent map: Maths MOC.
Scope boundary
Keep this folder for concepts that are reused across many topics. If a note becomes mainly about rates, areas, limits, or convergence, it probably belongs under Calculus MOC. If it becomes mainly about membership, containment, or products of sets, it belongs under Set theory index.