Axiomatic geometry (Book, 2013) []
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Axiomatic geometry

Author: John M Lee
Publisher: Providence : American Mathematical Society, ©2013.
Series: Pure and applied undergraduate texts, 21; Sally series.
Edition/Format:   Print book : EnglishView all editions and formats

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Genre/Form: Problemas, ejercicios, etc
Document Type: Book
All Authors / Contributors: John M Lee
ISBN: 9780821884782 0821884786
OCLC Number: 881197079
Notes: Índice.
Description: xvii, 469
Contents: PrefaceEuclidIncidence geometryAxioms for plane geometryAnglesTrianglesModels of neutral geometryPerpendicular and parallel linesPolygonsQuadrilateralsThe Euclidean parallel postulateAreaSimilarityRight trianglesCirclesCircumference and circular areaCompass and straightedge constructionsThe parallel postulate revisitedIntroduction to hyperbolic geometryParallel lines in hyperbolic geometryEpilogue: Where do we go from here?Hilbert's axiomsBirkhoff's postulatesThe SMSG postulatesThe postulates used in this bookThe language of mathematicsProofsSets and functionsProperties of the real numbersRigid motions: Another approachReferencesIndex
Series Title: Pure and applied undergraduate texts, 21; Sally series.
Responsibility: John M. Lee.


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