| Description | Branch |
|---|
| Relationships between the sides and angles of triangles | |
| Size, shape, relative position of figures and with properties of space | |
| Study of the rules of operations and the things which can be constructed from them | |
| The infinetesimal, derivatives, integrals and such | |
| Properties of numbers, particulalry integers | |
| Quantitative description of the likely occurrence of a particular event | |
| Highly sensitive dynamical systems | |
| Formal systems and the deductive power of formal proof systems | |
| Collection and interpretation of data | |
| Analysis of situations involving parties with conflicting interests | |
| Spatial properties that are preserved under continuous deformations | |
| | Description | Branch |
|---|
| Limiting behaviour of functions and algorithms | |
| Group theory applied to the solution of algebraic equations | |
| Mappings of classes of functions from one vector space to another | |
| Dynamical systems and measure preserving transformations | |
| Applying calculus to the geometric properties of curves and surfaces | |
| Properties of vector spaces and linear maps | |
| Representing functions or signals as the superposition of basic waves | |
| Quantification of information | |
| The aggregate effect of a random function, over time or space | |
| The effects of forces acting on physical objects | |
| The study of the numbers of ways of selecting, or arranging, objects from a finite set | |
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