Mathematics/Schemes

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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?

--- 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