Conformal geometry examines transformations that preserve angles, revealing deep interrelations between geometry and analysis. When combined with nonlinear elliptic equations—which are characterised ...

Geometric objects take on different properties depending on the space in which you visualize them. Using techniques from an upstart field called tropical geometry — which analyzes complicated shapes ...

Materials were written for an entire year's course in geometry in which transformations were used to develop the concepts of congruence, similarity, and symmetry, as well as being a vehicle for proof.