Field of mathematics
Geometry. Space, form, and structure.
Geometry starts with the triangles on the back of an envelope and ends with the shape of the universe. Begin with Euclid, pass through coordinate geometry, and arrive at the topology of the 21st century.
Concepts
Three gateways, from the classical to the modern.
Euclidean Geometry
Axioms, triangles, circles, and the classical constructions that shaped mathematics for two millennia.
Read →Analytic Geometry
Descartes’ bridge between algebra and geometry — coordinates, conics, and curves.
Read →Topology
Shapes under continuous deformation — manifolds, homotopy, and the invariants that survive.
Read →Formulas