pure mathematics

Definitions of pure mathematics
  1. noun
    the branches of mathematics that study and develop the principles of mathematics for their own sake rather than for their immediate usefulness
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    the branch of pure mathematics dealing with the theory of numerical calculations
    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
    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
    the logical analysis of mathematical reasoning
    computation with Arabic figures
    affine geometry
    the geometry of affine transformations
    Euclidean geometry, elementary geometry, parabolic geometry
    (mathematics) geometry based on Euclid's axioms
    fractal geometry
    (mathematics) the geometry of fractals
    non-Euclidean geometry
    (mathematics) geometry based on axioms different from Euclid's
    spherical geometry
    (mathematics) the geometry of figures on the surface of a sphere
    spherical trigonometry
    (mathematics) the trigonometry of spherical triangles
    a trigonometric method of determining the position of a fixed point from the angles to it from two fixed points a known distance apart; useful in navigation
    analytic geometry, analytical geometry, coordinate geometry
    the use of algebra to study geometric properties; operates on symbols defined in a coordinate system
    plane geometry
    the geometry of 2-dimensional figures
    solid geometry
    the geometry of 3-dimensional spaces
    descriptive geometry, projective geometry
    the geometry of properties that remain invariant under projection
    a branch of algebra dealing with quadratic equations
    linear algebra
    the part of algebra that deals with the theory of linear equations and linear transformation
    vector algebra
    the part of algebra that deals with the theory of vectors and vector spaces
    matrix algebra
    the part of algebra that deals with the theory of matrices
    a branch of mathematics involving calculus and the theory of limits; sequences and series and integration and differentiation
    differential calculus, method of fluxions
    the part of calculus that deals with the variation of a function with respect to changes in the independent variable (or variables) by means of the concepts of derivative and differential
    integral calculus
    the part of calculus that deals with integration and its application in the solution of differential equations and in determining areas or volumes etc.
    calculus of variations
    the calculus of maxima and minima of definite integrals
    Galois theory
    group theory applied to the solution of algebraic equations
    type of:
    math, mathematics, maths
    a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
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