Math & Relativity: Understand Einstein's Theories

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SUMMARY

Understanding Einstein's theories, particularly special relativity, requires only high school algebra, specifically linear equations in two variables. Bondi's k-calculus approach to special relativity is accessible without calculus, making it suitable for beginners. In contrast, general relativity necessitates a deeper mathematical foundation, including linear algebra and multivariable calculus. Resources such as "Relativity and Common Sense" and Mermin's modern texts provide valuable insights for learners.

PREREQUISITES
  • High school algebra, focusing on linear equations
  • Basic understanding of linear algebra
  • Familiarity with calculus (for general relativity)
  • Knowledge of physics fundamentals
NEXT STEPS
  • Study Bondi's k-calculus for special relativity
  • Read "Relativity and Common Sense" for foundational concepts
  • Explore Mermin's modern approach to relativity
  • Learn multivariable calculus for general relativity comprehension
USEFUL FOR

Students of mathematics and physics, educators seeking to teach relativity, and anyone interested in the mathematical foundations of Einstein's theories.

CosmicCube
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Hello everyone,

I was wondering if someone could offer an opinion on this...I have a high school math background sans calculus, but would love to understand Einstein's theories mathematically. Richard Feynman said that to truly appreciate nature you have to speak the language of math. What would be the requirements and in what order for someone like me (studying math/physics) to achieve my goal? I don't care much about time and would be pursuing this on the side but seriously. Any suggestions would be greatly appreciated. Thanks!
 
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Bondi's k-calculus approach to special relativity requires only high school math. (No calculus, in spite of the name). See for instance "Relativity and Common Sense", which you can find online, for example in the internet archive. I think Mermin has a more modern book with a similar approach, but I haven't read it.

The mathematical requirement to understand special relativity is to be able to do high school algebra , more specifically linear equations in two variables.
 
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Linear algebra and calculus (real, multivariable) are always the minimum knowledge of maths before tackling university level physics.
 
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Thank you for all your suggestions everyone. Now to dig into all of those!
 

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