阿蒂亚 几何与物理

阿蒂亚 几何与物理

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1、GeometryandPhysicsAuthor(s):MichaelAtiyahSource:TheMathematicalGazette,Vol.80,No.487,CentenaryIssue(Mar.,1996),pp.78-82Publishedby:TheMathematicalAssociationStableURL:http://www.jstor.org/stable/3620334Accessed:24/07/200920:06YouruseoftheJSTORarchiveindicatesyouracceptanceofJSTOR'sTermsandCondi

2、tionsofUse,availableathttp://www.jstor.org/page/info/about/policies/terms.jsp.JSTOR'sTermsandConditionsofUseprovides,inpart,thatunlessyouhaveobtainedpriorpermission,youmaynotdownloadanentireissueofajournalormultiplecopiesofarticles,andyoumayusecontentintheJSTORarchiveonlyforyourpersonal,non-com

3、mercialuse.Pleasecontactthepublisherregardinganyfurtheruseofthiswork.Publishercontactinformationmaybeobtainedathttp://www.jstor.org/action/showPublisher?publisherCode=mathas.EachcopyofanypartofaJSTORtransmissionmustcontainthesamecopyrightnoticethatappearsonthescreenorprintedpageofsuchtransmissi

4、on.JSTORisanot-for-profitorganizationfoundedin1995tobuildtrusteddigitalarchivesforscholarship.Weworkwiththescholarlycommunitytopreservetheirworkandthematerialstheyrelyupon,andtobuildacommonresearchplatformthatpromotesthediscoveryanduseoftheseresources.FormoreinformationaboutJSTOR,pleasecontacts

5、upport@jstor.org.TheMathematicalAssociationiscollaboratingwithJSTORtodigitize,preserveandextendaccesstoTheMathematicalGazette.http://www.jstor.org78THEMATHEMATICALGAZTI'EGeometryandPhysicsMICHAELATIYAH1IntroductionInmy1982PresidentialAddresstothe_4MathematicalAssociationItriedtoexplainthe:s:

6、l[

7、:igeneralroleofGeometryinMathematicssoitseemsappiopiiate,onthiscentenaryoccasion,thatIshouldmovebeyondtheconfinesofMathematicsanddiscusstheinterrelationofGeometryandPhysics.Therearetwoverygoodreasonsfordoingthis.Oneishistoricalandarisesfromtheclosetiesbetweenthetwosubjectsintheirearlyevolution.

8、Asecondandmoretopicalreasonisthat,overthepasttwodecades,therehasbeenaremarkableburstofinteractionofaquiteunexpectedkindbetweenGeometryandPhysics.Iwillbeginthereforebyabrieflookatthehistoricaldevelopmentbeforemovingtodescribetheexc

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