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ID:14358835
大小:10.25 MB
页数:315页
时间:2018-07-28
《gtm044.elementary.algebraic.geometry,.kendig.k..(springer.1977)(isbn.038790199x)(t)(600dpi)(315s)》由会员上传分享,免费在线阅读,更多相关内容在学术论文-天天文库。
1、KeithKendigElementaryAlgebraicGeometrySpringer-VerlagNewYorkHeidelbergBerlinDr.KeithKendigClevelandStateUniversityDepartmentofMathematicsCleveland.Ohio44115EditorialBoardP.R.HalmosF.W.GehringC.C.MooreManagingEdilorUniversityofMichiganUniversityofCaliforniaatBer
2、keleyUniversityofCaliforniaDepartmentofMathematicsDepartmentofMathematicsDepartmentofMathematicsAnnArbor,Michigan48104Berkeley,California94720SantaBarbara.California93106AMSSubjectClassificationl3—0I,14—HILibraryofCongressCataloginginPublicationDataKendig,Keith
3、,1938—Elementaryalgebraicgeometry.(Graduatetextsinmathematics44)Bibliography:p.Includesindex.I.Algebraic..2.Commutativealgebra.1.Title.II.Series.QA564.K46516'.35Allrightsreserved.NopartofthisbookmaybetranslatedorreproducedinanyformwithoutwrittenpermissionfromSp
4、ringer-Verlag.@1917bySpringer-Verlag.NewYorkInc.PrintedintheUnitedStatesofAmerica.ISBNO-387-90I99-XSpringer-VerlagNewYorkISBN3-540-90199-XSpringer-VerlagBerlinHeidelbergPrefaceThisbookwaswritientomakelearningintroductoryalgebraicgeometryaseasyaspossible.Itisdes
5、ignedforthegeneralfirst-andsecond-yeargraduatestudent,aswellasforthenonspecialist;theonlyprerequisitesareaone-yearcourseinalgebraandalittlecomplexanalysis.Therearemanyexamplesandpicturesinthebook.One'ssenseofintuitionislargelybuiltupfromexposuretoconcreteexamp'
6、cs.andintuitioninalgebraicgeometryisnoexception.Ihavealsotriedtoavoidtoomuchgeneralization.Ifoneunder-standsthecoreofanideainaetesetting,latergeneralizationsbecomemuchmoremeaningful.Thereareexercisesattheendofmostsectionssothatthereadercantesthisunderstandingof
7、thematerial.Someareroutine,othersaremorechallenging.Occasionally,easilyestablishedresultsusedinthetexthavebeenmadeintoexercises.Andfromtimetotime,proofsoftopicsnotcoveredinthetextaresketchedandthereaderisaskedtofillinthedetails.Chapter1isofanintroductorynature.
8、Someofthegeometryofafewspecificalgebratccurvesisworkedout,usingatacticalapproachthatmightnaturallybetriedbyonenotfamiliarwiththegeneralmethodsintro-ducedlaterinthebook.Furth
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