05203nam 22016935 450 991015474400332120190708092533.01-4008-8229-X10.1515/9781400882298(CKB)3710000000631364(MiAaPQ)EBC4738697(DE-B1597)468028(OCoLC)979882337(DE-B1597)9781400882298(EXLCZ)99371000000063136420190708d2016 fg engurcnu||||||||rdacontentrdamediardacarrierMetric Methods of Finsler Spaces and in the Foundations of Geometry. (AM-8) /Herbert BusemannPrinceton, NJ : Princeton University Press, [2016]©19431 online resource (252 pages) illustrationsAnnals of Mathematics Studies ;291"Lithoprinted."0-691-09571-X Includes bibliographical references and index.Frontmatter -- Preface -- Table of Contents -- Chapter I. Metric Spaces with Geodesics -- Chapter II. Metric Conditions for Finsler Spaces -- Chapter III. Properties of General S. L. Spaces -- Chapter IV. Spaces with Convex Spheres -- Chapter V. Motions -- Bibliography -- IndexThe description for this book, Metric Methods of Finsler Spaces and in the Foundations of Geometry. (AM-8), will be forthcoming.Annals of mathematics studies ;no. 8.Generalized spacesGeometryFoundationsAbelian 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.Generalized spaces.GeometryFoundations.516Busemann Herbert, 45479DE-B1597DE-B1597BOOK9910154744003321Metric Methods of Finsler Spaces and in the Foundations of Geometry. (AM-8)2788314UNINA