MARC Record from harvard_bibliographic_metadata

LEADER: 05005cam a2200385I 4500
001 014013935-4
005 20140523232128.0
008 131114s2014 enka b 001 0 eng d
016 7 $a016546997$2Uk
020 $a9780198701309
020 $a0198701306
035 $a(PromptCat)99958290389
035 0 $aocn863194931
040 $aBTCTA$beng$cBTCTA$dUKMGB$dBDX$dCDX$dYDXCP$dCHVBK$dOCLCO$dLTSCA
050 4 $aQA447$bM38 2014
082 4 $a516.0$b23
100 1 $aMaudlin, Tim.
245 00 $aNew Foundations for Physical Geometry :$bThe Theory of Linear Structures /$cTim Maudlin.
250 $a1st ed.
260 $aOxford ;$aNew York :$bOxford University Press,$c2014.
300 $aix, 363 p. :$bill. ;$c24 cm.
504 $aIncludes bibliographical references and index.
505 00 $gMachine generated contents note:$tMetaphorical and Geometrical Spaces --$tA Light Dance on the Dust of the Ages --$tThe Proliferation of Numbers --$tDescartes and Coordinate Geometry --$tJohn Wallis and the Number Line --$tDedekind and the Construction of Irrational Numbers --$tOverview and Terminological Conventions --$g1.$tTopology and Its Shortcomings --$tStandard Topology --$tClosed Sets, Neighborhoods, Boundary Points, and Connected Spaces --$tThe Hausdorff Property --$tWhy Discrete Spaces Matter --$tThe Relational Nature of Open Sets --$tThe Bill of Indictment (So Far) --$g2.$tLinear Structures, Neighborhoods, Open Sets --$tMethodological Morals --$tThe Essence of the Line --$tThe (First) Theory of Linear Structures --$tProto-Linear Structures --$tDiscrete Spaces, Mr Bush's Wild Line, the Woven Plane, and the Affine Plane --$tA Taxonomy of Linear Structures --$tNeighborhoods in a Linear Structure --$tOpen Sets
505 00 $tFinite-Point Spaces --$tReturn to Intuition --$tDirected Linear Structures --$tLinear Structures and Directed Linear Structures --$tNeighborhoods, Open Sets, and Topologies Again --$tFinite-Point Spaces and Geometrical Interpretability --$tA Geometrically Uninterpretable Topological Space --$tSegment-Spliced Linear Structures --$tLooking Ahead --$tExercises --$tAppendix: Neighborhoods and Linear Structures --$g3.$tClosed Sets, Open Sets (Again), Connected Spaces --$tClosed Sets: Preliminary Observations --$tOpen and Closed Intervals --$tJP-closed and JP-open Sets --$tJp-open Sets and Open Sets, JP-closed Sets and Closed Sets --$tZeno's Combs --$tClosed Sets, Open Sets, and Complements --$tInteriors, Boundary Points, and Boundaries --$tFormal Properties of Boundary Points --$tConnected Spaces --$tChains and Connectedness --$tDirectedness and Connectedness --$tExercises --$g4.$tSeparation Properties, Convergence, and Extensions --$tSeparation Properties --$tConvergence and Unpleasantness
505 00 $tSequences and Convergence --$tExtensions --$tThe Topologist's Sine Curve --$tPhysical Interlude: Thomson's Lamp --$tExercises --$g5.$tProperties of Functions --$tContinuity: an Overview --$tThe Intuitive Explication of Continuity and Its Shortcomings --$tThe Standard Definition and Its Shortcomings --$tWhat the Standard Definition of "Continuity" Defines --$tThe Essence of Continuity --$tContinuity at a Point and in a Direction --$tAn Historical Interlude --$tRemarks on the Architecture of Definitions; Lineal Functions --$tLines and Continuity in Standard Topology --$tExercises --$g6.$tSubspaces and Substructures; Straightness and Differentiability --$tThe Geometrical Structure of a Subspace: Desiderata --$tSubspaces in Standard Topology --$tSubspaces in the Theory of Linear Structures --$tSubstructures --$tOne Way Forward --$tEuclid's Postulates and the Nature of Straightness --$tConvex Affine Spaces --$tExample: Some Conical Spaces --$tTangents --$tUpper and Lower Tangents, Differentiability --$tSummation --$tExercises
505 00 $g7.$tMetrical Structure --$tApproaches to Metrical Structure --$tRatios Between What? --$tThe Additive Properties of Straight Lines --$tCongruence and Comparability --$tEudoxan and Anthyphairetic Ratios --$tThe Compass --$tMetric Linear Structures and Metric Functions --$tOpen Lines, Curved Lines, and Rectification --$tContinuity of the Metric --$tExercises --$tAppendix: A Remark about Minimal Regular Metric Spaces --$g8.$tProduct Spaces and Fiber Bundles --$tNew Spaces from Old --$tConstructing Product Linear Structures --$tExamples of Product Linear Structures --$tNeighborhoods and Open Sets in Product Linear Structures --$tFiber Bundles --$tSections --$tAdditional Structure --$tExercises --$g9.$tBeyond Continua --$tHow Can Continua and Non-Continua Approximate Each Other? --$tContinuous Functions --$tHomotopy --$tCompactness --$tSummary of Mathematical Results and Some Open Questions --$tExercises.
650 7 $aRaumstruktur.$2gnd
650 7 $aTopologischer Raum.$2gnd
650 7 $aRaum-Zeit.$2gnd
650 0 $aGeometry$xPhilosophy.
650 0 $aAlgebras, Linear.
650 0 $aSpace and time$xMathematics.
899 $a415_565982
988 $a20140423
906 $0OCLC