pure mathematics

Noun
  1. The branches of mathematics that study and develop the principles of mathematics for their own sake rather than for their immediate usefulness (synset 106013012)
    is a type of: math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
    subtypes:
    • arithmetic - the branch of pure mathematics dealing with the theory of numerical calculations
    • geometry - the pure mathematics of points and lines and curves and surfaces
    • numerical analysis - (mathematics) the branch of mathematics that studies algorithms for approximating solutions to problems in the infinitesimal calculus
    • trig, trigonometry - the mathematics of triangles and trigonometric functions
    • algebra - the mathematics of generalized arithmetical operations
    • calculus, infinitesimal calculus - the branch of mathematics that is concerned with limits and with the differentiation and integration of functions
    • set theory - the branch of pure mathematics that deals with the nature and relations of sets
    • group theory - the branch of mathematics dealing with groups
    • analysis situs, topology - the branch of pure mathematics that deals only with the properties of a figure X that hold for every figure into which X can be transformed with a one-to-one correspondence that is continuous in both directions
    • metamathematics - the logical analysis of mathematical reasoning

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