pure mathematics

/pjʊər mæθ(ə)ˌmædɪks/

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
   types:

   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

   algorism

   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

   triangulation

   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

   quadratics

   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

   analysis

   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