Overview
- 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- Fills a gap in the often outdated and overly complicated existing literature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
Part of the book series: Undergraduate Lecture Notes in Physics (ULNP)
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Table of contents (17 chapters)
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Front Matter
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Tensor Algebra and Analysis
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Front Matter
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Elements of Electrodynamics and Special Relativity
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Front Matter
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Applications to General Relativity
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Front Matter
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Keywords
About this book
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.Reviews
Authors and Affiliations
About the author
Shapiro was a member of the Russian Gravitational Association from 1988 to 1998. He is currently part of the American Mathematical Society, the Brazilian Physical Society, and as of 2015, the Accessory Committee of Physics and Astronomy in CNPq (Funding Agency of Brazilian Ministry of Science and Technology) since 2015. He is the author of more than 140 papers as well as a coauthor on the well-known 1992 book on quantum field theory and quantum gravity, Effective Action in Quantum Gravity.
Bibliographic Information
Book Title: A Primer in Tensor Analysis and Relativity
Authors: Ilya L. Shapiro
Series Title: Undergraduate Lecture Notes in Physics
DOI: https://doi.org/10.1007/978-3-030-26895-4
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Softcover ISBN: 978-3-030-26894-7Published: 11 September 2019
eBook ISBN: 978-3-030-26895-4Published: 30 August 2019
Series ISSN: 2192-4791
Series E-ISSN: 2192-4805
Edition Number: 1
Number of Pages: XVIII, 324
Number of Illustrations: 17 b/w illustrations
Topics: Mathematical Methods in Physics, Classical and Quantum Gravitation, Relativity Theory, Classical Electrodynamics, Mathematical Physics, Numerical and Computational Physics, Simulation, Quantum Field Theories, String Theory