资源描述：
《Differential Forms in Geometric calculus》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、In:F.Brackxetal(eds.),Cli®ordAlgebrasandtheirApplicationsinMathematicalPhysics,Kluwer:Dordercht/Boston(1993),269{285.Di®erentialFormsinGeometricCalculusDavidHestenesAbstractGeometriccalculusandthecalculusofdi®erentialformshavecommonoriginsinGrassmannalgebrabutdi®erentlinesofhi
2、storicaldevel-opment,somathematicianshavebeenslowtorecognizethattheybelongtogetherinasinglemathematicalsystem.Thispaperreviewstheratio-naleforembeddingdi®erentialformsinthemorecomprehensivesystemofGeometricCalculus.Themostsigni¯cantapplicationofthesystemistorelativisticphysics
3、whereitisreferredtoasSpacetimeCalculus.Thefunda-mentalintegraltheoremsarediscussedalongwithapplicationstophysics,especiallyelectrodynamics.1.IntroductionContrarytothemythofthesolitaryscienti¯cgenius,science(includingmathematics)isasocialactivity.Weallfeedononeanother'sideas.Wi
4、thoutourscienti¯cculturethegreatestmathematicalgeniusamonguscouldnotprogressbeyondsystematiccountingrecordedon¯ngersandtoes.Theprimarymeansforcommunicatingnewideasisthescienti¯cliterature.However,itisextremelydi±culttoreadthatliteraturewithoutlearninghowthroughdirectcontactwit
5、hotherswhoalreadycan.Evenso,importantideasintheliteratureareoverlookedormisconstruedmoreoftenthannot.Thehistoryofmathematicalideas(especiallythoseofHermannGrassmann)showsthisconclusively.Aworkshoplikethisone,bringingtogetherscientistswithcommoninterestsbutdivergentbackgrounds,
6、providesauniquelyvaluableopportunitytosetthewrittenrecordstraight
7、toclarifyanddebatecrucialideas
8、toprogresstowardaconsensus.WeoweanimmensedebtofgratitudetotheWorkshoporganizerswhomadethispossible:ProfessorsFredBrackx,RichardDelanghe,andHermanSerras.Thisisalsoagoodopportunityto
9、payspecialtributetoProfessorRoyChisholm,who,withuncommoninsightintothesocialdimensionofscience,conceived,organizedanddirectedtheFirstInternationalWorkshoponCli®ordAlgebrasandTheirApplicationsin1986.HesetthestandardforWorkshopstofollow.Withouthisleadershipwewouldnotbeheretoday.
10、AsinpreviousCli®ordAlgebraWorkshops[1{4]mypurposehereistofome
