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Branches of Mathematics
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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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