Here is a place to propose classifications of mathematical topics
this one by
OprgaG (in progress)
Structure
- Set Theory -- Topology -- Category theory -- Abstract algebra -- Probability
Quantity
- Analysis (+ Calculus) -- Optimization -- Non-standard analysis -- Geometry -- Geodesics? -- Statistics -- Complex numbers
'Starring' Part One
- Mathematical group -- Wavelets? -- Fractal -- Surreal numbers -- [Knot theory]? -- Minimax -- [Monte Carlo Method]?
'Starring' Part Two
- [Sheaves and bundles]? -- K-Theory? -- [Quantum groups]? -- [Catastrophe theory]? --
People
- Mathematician -- [History of Mathematics]? -- [Mathematical schools]? -- [Mathematical controversies]?
Public Relations
- Fields Medal -- Fermats Last Theorem -- The most remarkable formula in the world -- [Math related popular books]?
Traditional school mathematics
- ClassicalTriangleGeometry? -- ClassicalFunctions? -- [Basic algebra]? -- [Integer operations]? -- [Classical logic]? -- [[VintageSchoolProblems?
- CountingInTheWorld?
Transversal
- Combinatorics -- Mathematical constants -- Special functions -- Logic -- Information theory
Equations
- Algebraic geometry -- Differential equations
ScientificRelations?
- [Mathematics and Physics]? -- [Mathematics and Economy]? -- [Mathematics and Ecology]? -- Emergence?
Point of views and Mathematical Schools
- FinitistMathematics? -- MathematicalIntuitionism -- Hilbertism? -- Bourbakism? -- [Simpsonian foundations of mathematics]? -- [Theorems for a price]? -- [Tasteful mathematics]? -- WhatIsMathematicsReally -- [Mathematics created discovered]?
Several of these categories are inadequately titled for the rest of us to help out. What is transversal? What is starring one, starring two?
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This one by:
Group A
- Algebra -- [Fractions]] -- [Quadratic Equations]? and [Simultaneous Equations]? -- Surds? and Indices?
Group B
- [Circle Geometry]? -- [Coordinate Geometry]? -- [Obtuse Angles]? and Radians? and Arcs? and Sectors? -- Sine and Cosine Formulae --[Straight Lines I]? -- [Straight Line Geometry]? -- Triangles?
Group C
- [Compound Angle Identities]? -- Differentiation? Basic -- Functions? -- Inequalities? -- Tangents? and [Normal and stationary points]? -- [Trigonometric Functions]? -- [Trigonometric Identities and Equations]?
Group D
- [Applications of Differentiation]? -- Central Tendency -- [Collecting and representing data]? -- [Differentiating Implicit and Parametric Functions]? -- [Differentiation of Compound Functions]? -- [Differentiation of Trigonometric Functions]? -- Dispersion -- Exponential? and Logarithmic? Functions -- [Further Trigonometric Functions]?