Finsler and Lagrange Geometries

This text gives the most recent results in Finsler and related geometries from the Miron school. Both pure and applied topics are covered, including: higher-order geometry, Hamilton and Cartan spaces, Legendre transformations, self-duality in Gauge fields, constant curvature spaces, electromagnetics, gravity theory, black holes, complex Finsler geometry and Finsler-Lagrange-Hamilton structures in control and optimization. There is also an article on Finsler Seismic ray theory which uses the software Finsler based on MAPLE.