TY - GEN
AU - Shapiro, Ilya L.
TI - Primer in tensor analysis and relativity
T2 - Undergraduate lecture notes in physics
SN - 9783030268947
U1 - 512.57
PY - 2019///
CY - Cham
PB - Springer
KW - Tensor algebra
KW - Calculus of tensors
KW - Mathematical physics
KW - Optics
KW - Physics
KW - Quantum field theory
KW - Relativity
KW - String models
KW - Conformal transformation
KW - Covariant derivative
KW - Divergence
KW - Einstein equations
KW - Equivalence principle
KW - Factorization theorem
KW - Gauge invariance
KW - Inverse matrix formula
KW - Lorentz force
KW - Maxwell equations
KW - Metricity condition
KW - Parity transformation
KW - Redshift
KW - Stokes theorem
KW - Tetrad
KW - Vierbein
N1 - Includes bibliographical references and index
N2 - This 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
ER -