000 | a | ||
---|---|---|---|
999 |
_c31243 _d31243 |
||
008 | 220916b xxu||||| |||| 00| 0 eng d | ||
020 | _a9783030268947 | ||
082 |
_a512.57 _bSHA |
||
100 | _aShapiro, Ilya L. | ||
245 | _aPrimer in tensor analysis and relativity | ||
260 |
_bSpringer, _c2019 _aCham : |
||
300 |
_axviii, 324 p.; _bill. _c23 cm |
||
365 |
_b44.99 _cEUR _d84.10 |
||
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 _cBK |