000 a
999 _c31243
008 220916b xxu||||| |||| 00| 0 eng d
020 _a9783030268947
082 _a512.57
100 _aShapiro, Ilya L.
245 _aPrimer in tensor analysis and relativity
260 _bSpringer,
_aCham :
300 _axviii, 324 p.;
_c23 cm
365 _b44.99
490 _aUndergraduate lecture notes in physics
504 _aIncludes bibliographical references and index.
520 _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
650 _aTensor algebra
650 _aCalculus of tensors
650 _aMathematical physics
650 _aOptics
650 _aPhysics
650 _aQuantum field theory
650 _aRelativity
650 _aString models
650 _aConformal transformation
650 _a Covariant derivative
650 _aDivergence
650 _a Einstein equations
650 _a Equivalence principle
650 _a Factorization theorem
650 _aGauge invariance
650 _a Inverse matrix formula
650 _aLorentz force
650 _a Maxwell equations
650 _a Metricity condition
650 _aParity transformation
650 _a Redshift
650 _aStokes theorem
650 _aTetrad
650 _a Vierbein
942 _2ddc