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ID:14306274
大小:450.54 KB
页数:47页
时间:2018-07-27
《a quick introduction to tensor analysis - r. sharipov》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、2MSC97U20PACS01.30.PpR.A.Sharipov.QuickIntroductiontoTensorAnalysis:lecturenotes.Freelydistributedon-line.Isfreeforindividualuseandeducationalpurposes.Anycommercialusewithoutwrittenconsentfromtheauthorisprohibited.ThisbookwaswrittenaslecturenotesforclassesthatItaughttounde
2、rgraduatestudentsmajoringinphysicsinFebruary2004duringmytimeasaguestinstructoratTheUniversityofAkron,whichwassupportedbyDr.SergeiF.Lyuksyutov'sgrantfromtheNationalResearchCouncilundertheCOBASEprogram.These4classeshavebeentaughtintheframeofaregularElectromagnetismcourseasan
3、introductiontotensorialmethods.Iwrotethisbookina"do-it-yourself"stylesothatIgiveonlyadraftoftensortheory,whichincludesformulatingdenitionsandtheoremsandgivingbasicideasandformulas.Allotherworksuchasprovingconsistenceofdenitions,derivingformulas,provingtheoremsorcompletin
4、gdetailstoproofsislefttothereaderintheformofnumerousexercises.Ihopethatthisstylemakeslearningthesubjectreallyquickandmoreeectiveforunderstandingandmemorizing.IamgratefultoDepartmentChairProf.RobertR.Mallikfortheopportunitytoteachclassesandthustobeinvolvedfullyintheatmosph
5、ereofanAmericanuniversity.IamalsogratefultoMr.M.Boiwka(mboiwka@hotmail.com)Mr.A.Calabrese(ajc10@uakron.edu)Mr.J.Comer(funnybef@lycos.com)Mr.A.Mozinski(arm5@uakron.edu)Mr.M.J.Shepard(sheppp2000@yahoo.com)forattendingmyclassesandreadingthemanuscriptofthisbook.Iwouldliketoesp
6、eciallyacknowledgeandthankMr.JeComerforcorrectingthegrammarandwordinginit.Contactstoauthor.Oce:MathematicsDepartment,BashkirStateUniversity,32Frunzestreet,450074Ufa,RussiaPhone:7-(3472)-23-67-18Fax:7-(3472)-23-67-74Home:5Rabochayastreet,450003Ufa,RussiaPhone:7-(917)-75-5
7、5-786E-mails:RSharipov@ic.bashedu.ru,r-sharipov@mail.ru,rasharipov@hotmail.com,URL:http://www.geocities.com/r-sharipovCopyRightcSharipovR.A.,2004CONTENTS.CONTENTS................................................................................................3.CHAPTERI.PREL
8、IMINARYINFORMATION...........................................4.x1.Geometricalandphysicalv
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