© 2011

General Relativity Without Calculus

A Concise Introduction to the Geometry of Relativity


Part of the Undergraduate Lecture Notes in Physics book series (ULNP)

Table of contents

  1. Front Matter
    Pages i-xi
  2. José Natário
    Pages 1-16
  3. José Natário
    Pages 17-34
  4. José Natário
    Pages 35-47
  5. José Natário
    Pages 49-58
  6. José Natário
    Pages 59-68
  7. José Natário
    Pages 69-93
  8. José Natário
    Pages 95-114
  9. José Natário
    Pages 115-117
  10. Back Matter
    Pages 119-126

About this book


“General Relativity Without Calculus” offers a compact but mathematically correct introduction to the general theory of relativity, assuming only a basic knowledge of high school mathematics and physics. Targeted at first year undergraduates (and advanced high school students) who wish to learn Einstein’s theory beyond popular science accounts, it covers the basics of special relativity, Minkowski space-time, non-Euclidean geometry, Newtonian gravity, the Schwarzschild solution, black holes and cosmology. The quick-paced style is balanced by over 75 exercises (including full solutions), allowing readers to test and consolidate their understanding.


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Authors and affiliations

  1. 1., Departamento de MatematicaInstituto Superior TecnicoLisbonPortugal

Bibliographic information


From the reviews:

“The book is a short, clear and elementary introduction to the main ideas of Special Relativity and General Relativity. The primary target was an audience of well-trained high school students, interested in a course beyond the popular science expositions. The contents reveals the aim of the author, to cover both the classic theory and the modern history of the Relativity Theory … .” (Gabriel Teodor Pripoae, Zentralblatt MATH, Vol. 1244, 2012)