02644 2200481 4500999001700000008004100017020001800058082001600076100002100092245004500113260002800158300003200186365002200218490004300240504005100283520119500334650001901529650002401548650002501572650001101597650001201608650002501620650001501645650001801660650002901678650002601707650001501733650002401748650002701772650002701799650002101826650002801847650001801875650002301893650002501916650002601941650001401967650001901981650001102000650001402011942001202025952012502037 c31243d31243220916b xxu||||| |||| 00| 0 eng d a9783030268947 a512.57bSHA aShapiro, Ilya L. aPrimer in tensor analysis and relativity bSpringer,c2019aCham : axviii, 324 p.;bill.c23 cm b44.99cEURd84.10 aUndergraduate lecture notes in physics aIncludes bibliographical references and index. aThis undergraduate textbook provides a simple, concise introduction to tensor algebra and analysis, as well as special and general relativity. With a plethora of examples, explanations, and exercises, it forms a well-rounded didactic text that will be useful for any related course. The book is divided into three main parts, all based on lecture notes that have been refined for classroom teaching over the past two decades. Part I provides students with a comprehensive overview of tensors. Part II links the very introductory first part and the relatively advanced third part, demonstrating the important intermediate-level applications of tensor analysis. Part III contains an extended discussion of general relativity, and includes material useful for students interested primarily in quantum field theory and quantum gravity. Tailored to the undergraduate, this textbook offers explanations of technical material not easily found or detailed elsewhere, including an understandable description of Riemann normal coordinates and conformal transformations. Future theoretical and experimental physicists, as well as mathematicians, will thus find it a wonderful first read on the subject aTensor algebra aCalculus of tensors aMathematical physics aOptics aPhysics aQuantum field theory aRelativity aString models aConformal transformation a Covariant derivative aDivergence a Einstein equations a Equivalence principle a Factorization theorem aGauge invariance a Inverse matrix formula aLorentz force a Maxwell equations a Metricity condition aParity transformation a Redshift aStokes theorem aTetrad a Vierbein 2ddccBK 00102ddc406512_570000000000000_SHA70941145aDAIICTbDAIICTd2022-09-13g3783.66o512.57 SHAp033309r2022-09-16yBK