Resources to understand physics-related math?

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Discussion Overview

The discussion centers around recommendations for resources to understand the mathematics related to physics, particularly in the context of relativity, electromagnetism, and other foundational concepts in physics. Participants share their experiences and suggest various textbooks and materials that may aid in deepening understanding.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant expresses a desire to deepen their understanding of physics and mathematics, specifically mentioning topics like relativity and Maxwell's equations.
  • Another participant recommends several textbooks, including Jackson's Classical Electrodynamics and The Feynman Lectures on Physics, highlighting their relevance to the topics of interest.
  • A participant acknowledges owning The Feynman Lectures but admits to not having fully engaged with them, indicating a need for more immersive study.
  • One participant notes that Feynman's lectures provide a good treatment of special relativity and are accessible in terms of readability and mathematical presentation.
  • A different participant warns that Jackson's book requires a solid understanding of undergraduate electromagnetism and mentions the complexity of its problems.

Areas of Agreement / Disagreement

Participants generally agree on the value of certain textbooks for understanding physics-related mathematics, but there is no consensus on the best approach to studying these materials or the level of prior knowledge required.

Contextual Notes

Some participants express uncertainty about their foundational knowledge in mathematics and physics, which may affect their ability to engage with the recommended resources. There are also varying opinions on the accessibility and depth of the suggested texts.

Who May Find This Useful

Individuals interested in enhancing their understanding of physics and mathematics, particularly those transitioning from a superficial to a more profound engagement with the subject matter.

Descartes
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I'm currently 23 years old, and I've been working as a software engineer since school (few years ago) while maintaining my interest in all the sciences at a more superficial level (i.e. not delving entirely into the mathematics).

I did have calculus in school, but I'm afraid my understanding has suffered over time, and my class wasn't exceptional even without the time dilation.

I am going back to school for physics and astronomy simply because I feel it's where my interests truly lie, but can you pundits suggest books or other resources that will help me become acclimated? I'd like to be able to fully realize the math behind relativity, Lorentz transformations, Maxwell's equations, etc.; those are just the more well-known examples. I want to understand profoundly, not superficially.

Thanks!
 
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Buy a textbook (or ten).

I believe one of the best E&M textbooks is Jackson's Classical Electrodynamics.

You might want to consider picking up a copy of The Feynman Lectures on Physics. The first volume deals with atomic theory, some special relativity, and so on. The second volume is nearly all electromagnetism. The third volume is quantum mechanics.

In addition, there are a lot of good short books on (special) relativity theory -- perhaps someone else has a good suggestion of one.

- Warren
 
Much appreciated.

I actually own the lectures, but admittedly I haven't immersed myself in them. I've also read a few books on relativity, including Einstein's, and although I grok the material, I haven't the same level of appreciation for its profundity as Michio Kaku would say.

I'll give Jackson's book a read and see if it helps me see the proverbial light.

Thanks again.
 
Well, Feynman's lectures present a pretty decent treatment of special relativity. They're also very easy to read, and they do show the math.

- Warren
 
Be prepared to spend lots of time with the jackson book. If you don't have a good understanding of undergrad EM jackson will be difficult. The problems are usally extremely long, but doable.

JMD
 

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