Learning mathematics but need to know physics

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SUMMARY

The discussion centers on the need for foundational physics knowledge to complement self-taught mathematics, specifically in understanding Newtonian gravitation and mechanics. The user seeks recommendations for books that clarify the relationship between energy and forces, with a focus on formal explanations and practical examples, such as tidal forces. A specific book mentioned is "Newtonian Mechanics" by French, which is recommended for its clarity and accessibility for those with minimal physics background.

PREREQUISITES
  • Basic understanding of mathematical concepts
  • Familiarity with Newtonian physics principles
  • Knowledge of energy and force relationships
  • Ability to interpret physical examples and scenarios
NEXT STEPS
  • Read "Newtonian Mechanics" by French for a comprehensive introduction
  • Explore additional resources on energy and force interactions
  • Study examples of tidal forces and their physical implications
  • Investigate supplementary materials on classical mechanics for deeper insights
USEFUL FOR

This discussion is beneficial for self-learners in mathematics, educators seeking to integrate physics concepts, and anyone interested in building a solid foundation in Newtonian mechanics without extensive prior knowledge of physics.

MIB
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I teach myself mathematics, but I want also to broaden my knowledge with some physics, which I think will enhance my intuition for different things in mathematics. The problem is that it seems I know nothing about physics. So I want you to recommend me which book(or books) must I read to develop my understanding of Newtonian gravitation and mechanics, where the book not only cover how to deal with forces and computing the resultant ... etc. I want a book which consider concepts like energy and forces and clarify the connection between them formally, and with some examples like the example of flood and ebb (which I read about but couldn't absorb its physics where it was using reference potentials and tidal potentials and things like that which I don't know very well how to deal with it will be good if there is good books clarifying such concepts formally and rigorous). It will be better if the books needs no much physical background.


Thanks
 
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