Math & Relativity: Understand Einstein's Theories

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Discussion Overview

The discussion revolves around the mathematical prerequisites for understanding Einstein's theories of relativity, specifically focusing on the differences between special and general relativity. Participants share their insights on the necessary mathematical background for someone with a high school math education who wishes to study these theories.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant expresses a desire to understand Einstein's theories mathematically and seeks guidance on the necessary mathematical background.
  • Another participant suggests that Bondi's k-calculus approach to special relativity can be understood with only high school math, specifically high school algebra and linear equations.
  • A different viewpoint states that linear algebra and calculus are essential for tackling university-level physics, implying a higher mathematical requirement for deeper understanding.
  • It is noted that while special relativity can be grasped with high school math, general relativity demands a more extensive mathematical foundation.

Areas of Agreement / Disagreement

Participants generally agree that special relativity can be understood with high school math, but there is disagreement regarding the necessity of calculus and linear algebra for a comprehensive understanding of physics at the university level. The discussion remains unresolved regarding the exact mathematical requirements for general relativity.

Contextual Notes

There are varying opinions on the minimum mathematical skills required, with some participants emphasizing the necessity of calculus and linear algebra for university-level physics, while others argue that special relativity can be approached without these advanced topics.

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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