Intro -- Contents -- Foreword -- Paul Finsler and friends -- Section 1: Finsler Geometry over the Reals -- 0. Preface -- 1. On the Gauss-Bonnet integrand for 4-dimensional Landsberg spaces -- 2. Finsler structures on the 2-sphere satisfying K = 1 -- 3. Integral geometry in Minkowski spaces -- 4. Riemannian geometry as a special case of Finsler geometry -- 5. Dirac operators for Finsler spaces -- 6. Special eigenforms on the sphere bundle of a Finsler manifold -- 7. Remarks on Berwald and Landsberg spaces -- 8. Finsler manifolds of constant positive curvature -- Section 2: Complex Finsler Geometry -- 0. Preface -- 1. Finsler metrics of constant curvature and the characterization of tube domains -- 2. Some remarks on locally conformal complex Berwald spaces -- 3. Variations of holomorphic curvature for Kähler Finsler metrics -- 4. The equivalence problem for complex Finsler Hamiltonians -- 5. Complex Finsler vector bundles -- Section 3: Generalized Finsler Metrics -- 0. Preface -- 1. Certain generalizations of Finsler metrics -- 2. A historical remark on the connections of Chern and Rund -- 3. On Landsberg spaces and holonomy of Finsler manifolds -- 4. Some problems in the geometries of Finsler type -- Section 4: Applications to Biology, Engineering, and Physics -- 0. Preface -- 1. On y-Berwald spaces of dimension two and associated heterochronic systems with Finslerian noise -- 2. On physical applications of Finsler geometry -- Section 5: Applications to Control Theory -- 0. Preface -- 1. A pseudo-group isomorphism between control systems and certain generalized Finsler structures -- 2. Finsler geometry in low dimensional control theory -- Section 6: Applications to Relativistic Field Theory -- 0. Preface -- 1. Finsler geometry and a unified field theory -- 2. Finslerian spacetime -- 3. Symmetry in Finsler spaces. 4. Elementary geometries underlying the theory of Euclidean connections on Finsler metrics of Lorentzian signature.