In just ten years, tropical geometry has established itself as an important new field bridging algebraic geometry and combinatorics whose techniques have been u

Tropical geometry is young field of mathematics that connects algebraic geometry and combinatorics. It considers "combinatorial shadows" of classical algebraic

Tropical geometry is a combinatorial shadow of algebraic geometry, offering new polyhedral tools to compute invariants of algebraic varieties. It is based on tr

Tropical geometry provides an explanation for the remarkable power of mirror symmetry to connect complex and symplectic geometry. The main theme of this book is