Einstein's Theory

A Rigorous Introduction for the Mathematically Untrained

Authors: Gron, Oyvind, Naess, Arne

  • Covers both special and general theory of relativity and applications to cosmology in a logical and self-contained 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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  • ISBN 978-1-4614-0706-5
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  • Immediate eBook download after purchase
Hardcover $79.95
price for USA
  • ISBN 978-1-4614-0705-8
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Softcover $79.95
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  • ISBN 978-1-4899-9732-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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. Self-contained introductions are given, for example vector calculus, differential calculus and integrations. Second, in-between calculations have been included, making it possible for the non-technical reader to follow step-by-step 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. Lower-division 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 non-science 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

    Grøn, Øyvind (et al.)

    Pages 1-20

  • Differential calculus

    Grøn, Øyvind (et al.)

    Pages 21-42

  • Tangent vectors

    Grøn, Øyvind (et al.)

    Pages 43-59

  • Approaching general relativity: introducing curvilinear coordinate systems

    Grøn, Øyvind (et al.)

    Pages 61-75

  • The metric tensor

    Grøn, Øyvind (et al.)

    Pages 77-128

Buy this book

eBook $59.99
price for USA (gross)
  • ISBN 978-1-4614-0706-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $79.95
price for USA
  • ISBN 978-1-4614-0705-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $79.95
price for USA
  • ISBN 978-1-4899-9732-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Einstein's Theory
Book Subtitle
A Rigorous Introduction for the Mathematically Untrained
Authors
Copyright
2011
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-1-4614-0706-5
DOI
10.1007/978-1-4614-0706-5
Hardcover ISBN
978-1-4614-0705-8
Softcover ISBN
978-1-4899-9732-6
Edition Number
1
Number of Pages
XVII, 341
Topics