Einstein's Theory
A Rigorous Introduction for the Mathematically Untrained
Authors: Gron, Oyvind, Naess, Arne
Free Preview Covers both special and general theory of relativity and applications to cosmology in a logical and selfcontained way
 Provides the reader with a philosophically satisfying understanding of Einstein’s theory
 Presents both the conceptual and working knowledge of Einstein’s theory, without the reader having to make his own calculations
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 About this book

This book provides an introduction to the theory of relativity and the mathematics used in its processes. Three elements of the book make it stand apart from previously published books on the theory of relativity.
First, the book starts at a lower mathematical level than standard books with tensor calculus of sufficient maturity to make it possible to give detailed calculations of relativistic predictions of practical experiments. Selfcontained introductions are given, for example vector calculus, differential calculus and integrations. Second, inbetween calculations have been included, making it possible for the nontechnical reader to follow stepbystep calculations. Thirdly, the conceptual development is gradual and rigorous in order to provide the inexperienced reader with a philosophically satisfying understanding of the theory.
Einstein's Theory: A Rigorous Introduction for the Mathematically Untrained aims to provide the reader with a sound conceptual understanding of both the special and general theories of relativity, and gain an insight into how the mathematics of the theory can be utilized to calculate relativistic effects.  About the authors

Øyvind Grøn, Oslo University College, Oslo, Norway, oyvind.gron@fys.uio.no
Arne Næss, Oslo University College, Oslo, Norway (deceased)
 Reviews

From the reviews:
“Einstein’s Theory fits in an unusual place for introductory books on the topic. … this work reaches the mathematical, theoretical, and conceptual understanding of a graduate course, assuming just basic algebraic skills. … this is a rare book that can take the motivated reader with an elementary algebra background to a rigorous understanding of general relativity. Summing Up: Recommended. Lowerdivision undergraduates and general readers.” (E. Kincanon, Choice, Vol. 49 (9), May, 2012)
“This book stands apart from other introductory textbooks on general relativity in that it is aimed at nonscience educated readers who nonetheless want to get a thorough understanding of this theory. … The book succeeds quite well in explaining the concepts underlying general relativity in elementary terms without sacrificing mathematical rigor. An additional bonus are the philosophical remarks obviously due to one of the authors being a philosopher himself.” (Helmut Rumpf, Zentralblatt MATH, Vol. 1234, 2012)
 Table of contents (14 chapters)


Vectors
Pages 120

Differential calculus
Pages 2142

Tangent vectors
Pages 4359

Approaching general relativity: introducing curvilinear coordinate systems
Pages 6175

The metric tensor
Pages 77128

Table of contents (14 chapters)
 Download Preface 1 PDF (72.5 KB)
 Download Sample pages 1 PDF (301.4 KB)
 Download Table of contents PDF (54.1 KB)
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Bibliographic Information
 Bibliographic Information

 Book Title
 Einstein's Theory
 Book Subtitle
 A Rigorous Introduction for the Mathematically Untrained
 Authors

 Oyvind Gron
 Arne Naess
 Copyright
 2011
 Publisher
 SpringerVerlag New York
 Copyright Holder
 Springer Science+Business Media, LLC
 eBook ISBN
 9781461407065
 DOI
 10.1007/9781461407065
 Hardcover ISBN
 9781461407058
 Softcover ISBN
 9781489997326
 Edition Number
 1
 Number of Pages
 XVII, 341
 Topics