Some thoughts on the structure of learning about Mathematics. May go into a Wikireader.
History
edit- Zero
- One
- Quantity
- Natural numbers
- Real numbers
- Fraction
- Vulgar fraction
- Irreducible fraction
- Proper fraction
- Improper fraction
- Unit fraction
- Egyptian fraction
- Decimal fraction
- Dyadic rational
- Mixed fraction
- Continued fraction
- Compound fraction
- Partial fraction
- Set
- Element
- Empty set
- Cardinal number
- Subset
- Union
- Intersection
- Complement
- Russell's paradox
- Algebra of sets
- Relation
- Domain
- Codomain
- Range
- Multivalued function
- Partial function
- Types:
- Image & Preimage or Inverse image
Graphing
edit- Coordinate system
- Coordinates (elementary mathematics)
- Cartesian coordinate system
- Polar coordinates
- Circular coordinates
- Cylindrical coordinates
- Spherical coordinates
- Graph of a function
Two and three-dimensional geometry
editTraditional geometry
edit- Topology
- Erlangen program
- Hyperbolic geometry
- Elliptic geometry
- Affine geometry
- Projective geometry
- Inversive geometry
Modern geometry
editBasic concepts
edit- Radian
- Degree
- Unit circle
- Trigonometric functions
- Sine wave
- Simple harmonic motion
- Exact trigonometric constants
- Generating trigonometric tables