Springer.Michele.Audin.Geometry.(Springer.2003)

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1、Mich`eleAudinGeometryMich`eleAudinInstitutdeRechercheMath´ematiqueAvanc´ee,Universit´eLouisPasteuretCNRS,7rueRen´eDescartes,67084Strasbourgcedex,France.E-mail:Michele.Audin@math.u-strasbg.frUrl:http://www-irma.u-strasbg.fr/~maudin27thMay2002GeometryMich`eleAudinContentsIntroduction.....

2、...................................................11.Thisisabook...................................................12.Howtousethisbook............................................23.AbouttheEnglishedition........................................34.Acknowledgements........................

3、......................3I.AffineGeometry..................................................71.Affinespaces....................................................72.Affinemappings..................................................143.Usingaffinemappings:threetheoremsinplanegeometry........234.Appendix

4、:afewwordsonbarycenters..........................265.Appendix:thenotionofconvexity................................286.Appendix:Cartesiancoordinatesinaffinegeometry..............30Exercisesandproblems............................................32II.EuclideanGeometry,Generalities...........

5、.................431.Euclideanvectorspaces,Euclideanaffinespaces..................432.Thestructureofisometries......................................463.Thegroupoflinearisometries....................................52Exercisesandproblems............................................58III.Euc

6、lideanGeometryinthePlane............................651.Angles............................................................652.Isometriesandrigidmotionsintheplane........................763.Planesimilarities................................................794.Inversionsandpencilsofcircles

7、..................................83Exercisesandproblems............................................98IV.EuclideanGeometryinSpace................................1131.Isometriesandrigidmotionsinspace............................1132.Thevectorproduct,withareacomputations..........