Newton's "Principia Mathematica": Understanding the Hard Parts

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SUMMARY

Newton's "Principia Mathematica" is recognized for its historical significance but is often deemed challenging for modern readers due to its archaic language and reliance on advanced Euclidean geometry. Readers familiar with contemporary calculus and mechanics may find it more beneficial to study these subjects before tackling the text. Notably, Chandrasekhar authored a commentary aimed at enhancing the readability of the Principia for today's physicists. Overall, while Newton's contributions are invaluable, the complexity of the original work can hinder comprehension without a solid foundation in modern mathematical concepts.

PREREQUISITES
  • Advanced Euclidean geometry
  • Calculus fundamentals
  • Basic mechanics principles
  • Familiarity with linear algebra
NEXT STEPS
  • Read Chandrasekhar's commentary on "Principia Mathematica"
  • Study advanced Euclidean geometry concepts
  • Explore modern calculus textbooks for clearer explanations
  • Investigate linear algebra applications in physics
USEFUL FOR

Students of physics, mathematicians, and anyone interested in the historical context and mathematical foundations of classical mechanics will benefit from this discussion.

arabianights
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I've been trying to read Newton's Principia Mathematica, sth I've always wanted to do since college.

i'm familiar with the physics concepts and necessary mathematics involved, but often I found it's very hard to read the book, sometimes to the point that I'm totally lost as what Newton's trying to explain.
 
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Principia is important for historical reasons, but as far as learning from it, it's pretty useless. Much better to get a book on calculus and mechanics.
 
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To understand the Principia is very hard. Usually we don't learn the math (pretty advanced Euclidean geometry, which for good reasons we use in terms of analytical geometry nowadys) used there. If I remember right, Chandrasekhar wrote a commentary on the Principia to make it better readable for the modern physicist.
 
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I agree with the others. That book is difficult to read mostly for the language and notation used at that time, not necessarily because of the depth of coverage. Don't get me wrong. Newton was one of the greatest mathematicians ever ! But, so much work has been done since and clearer expositions have been written.
 
I tried to read it, the language is very hold and difficult to understand, the exposition uses the Euclidean geometry and a lot of reasoning on geometrical figures. I think it is interesting to see these proofs after learned the mechanics with our modern language (calculus and linear algebra). For a beginner I suggest to procede in this way...

When you read the Principia you have to keep in mind that he wrote for the level of knowledge of his time ...
 

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