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Physics - Theoretical, Mathematical & Computational Physics | General Relativity Without Calculus - A Concise Introduction to the Geometry of Relativity

General Relativity Without Calculus

A Concise Introduction to the Geometry of Relativity

Natario, Jose

2011, XII, 128 p.

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  • Provides a quite original approach to Relativity, in that it tries to convey nontrivial, quantitative ideas about geometry and general relativity using elementary mathematics only
  • Offers a short, but mathematically correct introduction to the general theory of relativity for first-year students of astronomy, mathematics or physics Paves the way for more advanced texts Over 75 exercises with full solutions help the reader understand the matter
“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.

Content Level » Lower undergraduate

Keywords » Black Holes geometry - Cosmology undergraduate text - Einstein's theory beyond popular science - GR textbook - General Relativity for undergraduates - General Relativity taught without Calculus - Geometry of Relativity - Twin Paradox explained - brief guide to relativity - entry level relativity - teaching GR

Related subjects » Applications - Astrophysics and Astroparticles - Cosmology - Theoretical, Mathematical & Computational Physics

Table of contents 

1 Lorentz transformations.- 2 Minkowski geometry.- 3 Non-Euclidean geometry.- 4 Gravity.- 5 General relativity.- 6 The Schwarzschild solution.- 7 Cosmology.- 8 Mathematics and physics.

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