分类:数理化
语言:简体中文
大小:未知
发布时间:15-05-08
学习资料下载: 下面是学习资料下载列表,您可以点击这些文件名进行下载,如果不能下载,请查看下载帮助 The Geometry of Physics An Introduction, 3e, Frankel, 2012 16.6MB 全选 changeUpdateFlash("EM4d8b4e3bd1f51");new MultiCheckBox("EM4d8b4e3bd1f51"); 19.5MB内容介绍: 这本书最伟大的价值从第三部分开始展现. 非常有趣. 值得花时间啃. 当然,要研读这有趣的部分,微分几何的基础是要稍微有了解的,这就是此书的第一部分和第二部分的主要内容了TheGeometryofPhysicsThisbookisintendedtoprovideaworkingknowledgeofthosepartsofexteriordifferentialforms,differentialgeometry,algebraicanddifferentialtopology,Liegroups,vectorbundles,andChernformsthatareessentialforadeeperunderstandingofbothclassicalandmodernphysicsandengineering.Includedarediscussionsofanalyticalandfluiddynamics,elec-tromagnetism(inflatandcurvedspace),thermodynamics,elasticitytheory,thegeometryandtopologyofKirchhoff’selectriccircuitlaws,soapfilms,specialandgeneralrelativity,theDiracoperatorandspinors,andgaugefields,includingYang–Mills,theAharonov–Bohmeffect,Berryphase,andinstantonwindingnumbers,quarks,andthequarkmodelformesons.Beforeadiscussionofabstractnotionsofdifferentialgeometry,geometricintuitionisdevelopedthrougharatherextensiveintroductiontothestudyofsurfacesinordinaryspace;consequently,thebookshouldbeofinterestalsotomathematicsstudents.Thisbookwillbeusefultograduateandadvanceundergraduatestudentsofphysics,engineering,andmathematics.Itcanbeusedasacoursetextorforself-study.ThisThirdEditionincludesanewoverviewofCartan’sexteriordifferentialforms.Itpreviewsmanyofthegeometricconceptsdevelopedinthetextandillustratestheirappli-cationstoasingleextendedprobleminengineering;namely,theCauchystressescreatedbyasmalltwistofanelasticcylindricalrodaboutitsaxis.TheodoreFrankelreceivedhisPh.D.fromtheUniversityofCalifornia,Berkeley.HeiscurrentlyEmeritusProfessorofMathematicsattheUniversityofCalifornia,SanDiego.内容截图:...