abstract algebra affine geometry al-mahani alain connes alfonso algebra algebraic equation algebraic geometry algebraic group algebraic topology algebraic variety analytic geometry ancient egypt area area of a disk arithmetic astronomy axiom axiomatic system babylonian mathematics bernhard riemann birational geometry book of optics calculus carl benjamin boyer carl friedrich gauss categorical logic category theory characteristic class circle circumference classical group classical mechanics clifford algebra collineation combinatorics commutative ring complex analysis complex manifold computational geometry computer graphics conic section construction convex geometry coordinate system coxeter group crystallography curvature curve david hilbert differential calculus differential geometry differential topology dimension theory discrete geometry discrete group dynamical system dynamical systems theory edwin abbott abbott egyptian mathematics elementary algebra emil artin encyclopedia of the history of arabic science equation erlangen program euclid euclidean geometry euclidean group euclidean space exterior algebra felix klein finite field finite geometry finite group flatland game theory general relativity general topology generalized gauss-bonnet theorem geometric algebra geometric group theory geometric topology giovanni girolamo saccheri gresham college hermann grassmann hilbert space history of geometry hodge conjecture homeomorphism homogeneous space homological algebra hyperbolic geometry hyperbolic plane immanuel kant indian mathematics indus valley civilization infinitely near point infinitesimal information theory inner product space invariance of domain invariant theory italian school of algebraic geometry jakob steiner john wallis kepler conjecture kissing number problem lambert quadrilateral latin length leonhard euler lie group lie theory line linear algebra list of basic geometry topics list of geometers list of geometry topics list of mathematics articles liu hui london mactutor history of mathematics archive manifold mathematical analysis mathematical logic mathematical physics mathematics mathematics in medieval islam mesopotamia michael atiyah middle ages mikhail gromov model theory moduli space morse theory moscow mathematical papyrus mozi multilinear algebra nasir al-din al-tusi natural number non-euclidean geometry non-standard analysis number theory pappus configuration parallel postulate physics pierre de fermat plane curve platonic solid polygon polytope principia mathematica probability theory projective geometry pseudogroup pure mathematics pythagorean theorem quadrilateral quaternion ratio real algebraic geometry regular polygon representation theory rhind mathematical papyrus riemann surface riemannian geometry ring theory roger penrose routledge saccheri quadrilateral sergei petrovich novikov set theory shulba sutras singularity theory sophus lie space sphere sphere packing spherical trigonometry statistics string theory subgroup surveying symmetry symmetry group symplectic geometry synthetic differential geometry synthetic geometry tessellation thales theoretical physics theory of computation three-dimensional space topological manifold topology transformation geometry trefoil knot triangle trigonometry twistor theory vector bundle volume von neumann algebra wikibooks wikisource william kingdon clifford william thurston witelo zhang heng