pure mathematics

Definitions of pure mathematics
1

n the branches of mathematics that study and develop the principles of mathematics for their own sake rather than for their immediate usefulness

Types:
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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 space
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

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