A Primer in Tensor Analysis and Relativity
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Beschreibung
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, includingan 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.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, includingan 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.Designed for undergraduate students looking to enter the field of quantum gravity and particle physics Fills a gap in the often outdated and overly complicated existing literature Includes a plethora of examples and exercises
Autor*in
Ilya L. Shapiro
Themen in »A Primer in Tensor Analysis and Relativity«
vector calculus Special Relativity textbook general relativity equations covariant methods linear spaces grad, div, rot Lorentz force relativistic dynamics general relativity textbook tensors for physics
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“Shapiro’s book is a promising player in the game of physics texts aimed at the modern student with correspondingly modern interests. … this book has additional mathematical relevance. It is a very solid pedagogical effort, with the various physical themes all carefully worked out, as also the relevant mathematics, of course. Perhaps most importantly, there are many, many problems, and, as always, the student’s mastery of this material is proportional to the number of problems worked.” (Michael Berg, MAA Reviews, September 6, 2021)
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