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/ English Dictionary

PURE MATHEMATICS

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 I. (noun) 

Sense 1

Meaning:

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

Classified under:

Nouns denoting cognitive processes and contents

Hypernyms ("pure mathematics" is a kind of...):

math; mathematics; maths (a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement)

Hyponyms (each of the following is a kind of "pure mathematics"):

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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