Any books on how physics formulas are derived?

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SUMMARY

This discussion centers on the search for physics books that focus on the derivation of formulas rather than merely presenting them. The participant expresses a preference for texts that include experimental data and a mathematical approach to understanding these formulas. Recommendations emphasize the importance of selecting higher-quality physics books that thoroughly derive formulas related to specific topics. The conversation highlights the need for resources that cater to both introductory and advanced levels of physics understanding.

PREREQUISITES
  • Basic understanding of physics concepts
  • Familiarity with mathematical principles used in physics
  • Knowledge of experimental methods in physics
  • Ability to interpret scientific literature
NEXT STEPS
  • Research "How to Derive Physics Formulas" for foundational texts
  • Explore "University Physics" by Young and Freedman for comprehensive derivations
  • Investigate "The Feynman Lectures on Physics" for conceptual insights and derivations
  • Look into "Classical Mechanics" by Herbert Goldstein for advanced formula derivation techniques
USEFUL FOR

Students, educators, and physics enthusiasts seeking a deeper understanding of the derivation of physics formulas and their applications in various contexts.

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I am looking for Physics books which that focuses on how the Physics formulas are derived. I know that some formulas were derived by experiments and how each of the controlled variables relate to each other. That is fine for me too as long as it has the experimental data; although i prefer it to be shown in purely mathematical approach.

I wonder if there are such books out there. Most of the physics book i have just give an introduction to the topic and then gives me the formula. So, i want to learn how the formulas are derived to understand why they are of such form.

Thanks.
 
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It depends on what sort of "formulas" you're talking about, but any good book, talking about subject X, will derive all of the formulas about X. I think you just need to be looking at better books. But it would help if you gave some examples of what you mean when you say "most of the physics books I have just give an introduction to the topic, and then gives me the formula".
 
Anything about physics would do; from introductory to advanced. Of course, i would like to start off from basic stuff first.
 
i am self learning physics. have you ever worked your way backwards again after finishing most undergrad courses? i have textbooks for junior/senior physics courses in classical mechanics, electrodynamics, thermal physics, quantum mechanics, and mathematical methods for self learning. i have the Halliday Resnick sophomore book. working backwards, i checked out Conceptual Physics 11th edition by Hewitt and found this book very helpful. What i liked most was how stimulating the pictures...

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