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The description for this book, Metric Methods of Finsler Spaces and in the Foundations of Geometry. (AM-8), will be forthcoming.

Generalized spaces. --- Geometry --- Foundations. --- Abelian group. --- Absolute geometry. --- Affine transformation. --- Approximation. --- Arc length. --- Archimedean property. --- Asymptote. --- Axiom A. --- Axiom. --- Axiomatic system. --- Bernhard Riemann. --- C0. --- Cartesian coordinate system. --- Closed geodesic. --- Collinearity. --- Compact space. --- Conjecture. --- Conjugate points. --- Constant curvature. --- Convex body. --- Convex curve. --- Convex function. --- Convex hull. --- Convex metric space. --- Convex polygon. --- Convex set. --- Coordinate system. --- Counterexample. --- Covariance and contravariance of vectors. --- Curvature. --- Diameter. --- Differentiable function. --- Dimension (vector space). --- Dimension. --- Dimensional analysis. --- Elementary proof. --- Ellipse. --- Ellipsoid. --- Elliptic geometry. --- Equation. --- Equidistant. --- Euclidean distance. --- Euclidean geometry. --- Euclidean space. --- Exterior (topology). --- Geodesic. --- Geodesy. --- Geometry. --- Group theory. --- Hilbert geometry. --- Hilbert space. --- Homogeneous space. --- Homotopy. --- Hyperbola. --- Hyperbolic geometry. --- Hyperbolic motion. --- Hyperplane. --- Infimum and supremum. --- Infinitesimal. --- Intersection (set theory). --- Invariance theorem. --- Jordan curve theorem. --- Limit point. --- Line at infinity. --- Linear space (geometry). --- Linear subspace. --- Linearity. --- Metric space. --- Minkowski space. --- Non-Euclidean geometry. --- Non-positive curvature. --- Notation. --- Open problem. --- Parity (mathematics). --- Perpendicular. --- Pointwise. --- Projective geometry. --- Projective plane. --- Requirement. --- Riemannian geometry. --- Sequence. --- Sign (mathematics). --- Simply connected space. --- Special case. --- Subgroup. --- Subsequence. --- Subset. --- Tangent cone. --- Tangent space. --- Theorem. --- Theory. --- Three-dimensional space (mathematics). --- Topological group. --- Topological space. --- Topology. --- Transitive relation. --- Triangle inequality. --- Two-dimensional space. --- Unit circle. --- Unit vector.