Metric Methods of Finsler Spaces and in the Foundations of Geometry. (AM-8) / / Herbert Busemann

• Autore: Busemann Herbert
• Pubblicazione: Princeton, NJ : , : Princeton University Press, , [2016]; ©1943
• Descrizione fisica: 1 online resource (252 pages) : illustrations
• Disciplina: 516
• Soggetto topico: Generalized spaces; Geometry - Foundations
• Soggetto non controllato: 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
• Note generali: "Lithoprinted."
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: 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 -- Index
• Sommario/riassunto: The description for this book, Metric Methods of Finsler Spaces and in the Foundations of Geometry. (AM-8), will be forthcoming.
• Titolo autorizzato: Metric Methods of Finsler Spaces and in the Foundations of Geometry. (AM-8)
• ISBN: 1-4008-8229-X
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910154744003321
• Lo trovi qui: Univ. Federico II
• Serie: Annals of mathematics studies ; ; no. 8.