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
TOPICAL NAME USED AS SUBJECT
Entry Element
Tensor algebra
Entry Element
Calculus of tensors
Entry Element
Relativity (Physics)
a03
a05
a05
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QC20
.
7
Book number
.
C28
S53
2019
PERSONAL NAME - PRIMARY RESPONSIBILITY
Shapiro, I. L. (Ilya Lvovitch)
ORIGINATING SOURCE
Country
Iran
Agency
University of Tehran. Library of College of Science