返回
Introduction to Tensor Analysis

Introduction to Tensor Analysis

ID：40081810

大小：3.34 MB

页数：373页

时间：2019-07-20

Introduction to Tensor Analysis_第1页
Introduction to Tensor Analysis_第2页
Introduction to Tensor Analysis_第3页
Introduction to Tensor Analysis_第4页
Introduction to Tensor Analysis_第5页
资源描述：

《Introduction to Tensor Analysis》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、IntroductiontoTensorCalculusandContinuumMechanicsbyJ.H.HeinbockelDepartmentofMathematicsandStatisticsOldDominionUniversityPREFACEThisisanintroductorytextwhichpresentsfundamentalconceptsfromthesubjectareasoftensorcalculus,di erentialgeometryandcontinuummechanics.Thematerialpresentedissuitableforatwos

2、emestercourseinappliedmathematicsandisflexibleenoughtobepresentedtoeitherupperlevelundergraduateorbeginninggraduatestudentsmajoringinappliedmathematics,engineeringorphysics.Thepresentationassumesthestudentshavesomeknowledgefromtheareasofmatrixtheory,linearalgebraandadvancedcalculus.Eachsectioninclude

3、smanyillustrativeworkedexamples.Attheendofeachsectionthereisalargecollectionofexerciseswhichrangeindiculty.Manynewideasarepresentedintheexercisesandsothestudentsshouldbeencouragedtoreadalltheexercises.Thepurposeofpreparingthesenotesistocondenseintoanintroductorytextthebasicde nitionsandtechniquesar

4、isingintensorcalculus,di erentialgeometryandcontinuummechanics.Inparticular,thematerialispresentedto(i)developaphysicalunderstandingofthemathematicalconceptsassociatedwithtensorcalculusand(ii)developthebasicequationsoftensorcalculus,di erentialgeometryandcontinuummechanicswhichariseinengineeringappl

5、ications.Fromthesebasicequationsonecangoontodevelopmoresophisticatedmodelsofappliedmathematics.Thematerialispresentedinaninformalmannerandusesmathematicswhichminimizesexcessiveformalism.Thematerialhasbeendividedintotwoparts.The rstpartdealswithanintroduc-tiontotensorcalculusanddi erentialgeometrywhi

6、chcoverssuchthingsastheindicialnotation,tensoralgebra,covariantdi erentiation,dualtensors,bilinearandmultilinearforms,specialtensors,theRiemannChristo eltensor,spacecurves,surfacecurves,cur-vatureandfundamentalquadraticforms.Thesecondpartemphasizestheapplicationoftensoralgebraandcalculustoawidevarie

7、tyofappliedareasfromengineeringandphysics.Theselectedapplicationsarefromtheareasofdynamics,elasticity,fluidsandelectromag-netictheory.Thecontinuummechanicsportionfocusesonanintroductionofthebasicconcep

当前文档最多预览五页，下载文档查看全文

此文档下载收益归作者所有

当前文档最多预览五页，下载文档查看全文
温馨提示：
1. 部分包含数学公式或PPT动画的文件，查看预览时可能会显示错乱或异常，文件下载后无此问题，请放心下载。
2. 本文档由用户上传，版权归属用户，天天文库负责整理代发布。如果您对本文档版权有争议请及时联系客服。
3. 下载前请仔细阅读文档内容，确认文档内容符合您的需求后进行下载，若出现内容与标题不符可向本站投诉处理。
4. 下载文档时可能由于网络波动等原因无法下载或下载错误，付费完成后未能成功下载的用户请联系客服处理。