S: (n) pure mathematics (the branches of mathematics that study and develop the principles of mathematics for their own sake rather than for their immediate usefulness)
S: (n) arithmetic (the branch of pure mathematics dealing with the theory of numerical calculations)
S: (n) geometry (the pure mathematics of points and lines and curves and surfaces)
S: (n) numerical analysis ((mathematics) the branch of mathematics that studies algorithms for approximating solutions to problems in the infinitesimal calculus)
S: (n) algebra (the mathematics of generalized arithmetical operations)
S: (n) calculus, infinitesimal calculus (the branch of mathematics that is concerned with limits and with the differentiation and integration of functions)
S: (n) set theory (the branch of pure mathematics that deals with the nature and relations of sets)
S: (n) topology, analysis situs (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)
S: (n) metamathematics (the logical analysis of mathematical reasoning)