I studied algebraic geometry and looked for the development of some concepts and found tropical geometry is an important field. I need a simple reference to explain tropical geometry and its applications please.
Here is an introductory article:
and an introductory book:
Introduction to Tropical Geometry by Diane Maclagan and Bernd Sturmfels
And finally here is a book that gives a fairly current state of our knowledge in the field:
Nonarchimedean and Tropical Geometry by Matthew Baker and Sam Payne
Hope that helps!