Geometry: A Comprehensive Course

图书标准信息

• 作者 Daniel Pedoe 著
• 出版社 Dover Publications
• 出版时间 1988-12
• 版次 1
• ISBN 9780486658124
• 定价 181.50元
• 装帧 平装
• 开本 其他
• 纸张 其他
• 页数 464页
• 正文语种 英语
• 丛书 Dover Books on Mathematics

【内容简介】

"Alucidandmasterlysurvey."—MathematicsGazetteProfessorPedoeiswidelyknownasafineteacherandafinegeometer.Hisabilitiesinbothareasareclearlyevidentinthisself-contained,well-written,andlucidintroductiontothescopeandmethodsofelementarygeometry.Itcoversthegeometryusuallyincludedinundergraduatecoursesinmathematics,exceptforthetheoryofconvexsets.BasedonacoursegivenbytheauthorforseveralyearsattheUniversityofMinnesota,themainpurposeofthebookistoincreasegeometrical,andthereforemathematical,understandingandtohelpstudentsenjoygeometry.Amongthetopicsdiscussed:theuseofvectorsandtheirproductsinworkonDesargues'andPappus'theoremandthenine-pointcircle;circlesandcoaxalsystems;therepresentationofcirclesbypointsinthreedimensions;mappingsoftheEuclideanplane,similitudes,isometries,mappingsoftheinversiveplane,andMoebiustransformations;projectivegeometryoftheplane,space,andndimensions;theprojectivegenerationofconicsandquadrics;Moebiustetrahedra;thetetrahedralcomplex;thetwistedcubiccurve;thecubicsurface;orientedcircles;andintroductiontoalgebraicgeometry.Inaddition,threeappendicesdealwithEuclideandefinitions,postulates,andpropositions;theGrassmann-PlueckercoordinatesoflinesinS3,andthegroupofcirculartransformations.Amongtheoutstandingfeaturesofthisbookareitsmanyworkedexamplesandover500exercisestotestgeometricalunderstanding.