Studying Physics and Math teaching textbook reccomendations

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To build a solid foundation in Physics and Mathematics, especially for a high school student feeling a lack of depth in understanding, it is important to focus on both conceptual understanding and practical application. Engaging with advanced resources like Spivak's calculus book is recommended for a deeper grasp of calculus concepts, including proofs and the reasoning behind derivatives and limits. This approach addresses the need for clarity on foundational topics and enhances comprehension of why mathematical principles are essential. Additionally, identifying specific areas of difficulty in mathematics can help tailor study strategies to improve understanding and retention.
niranjanken
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Hey,
I'm a 16 year old at high school and I feel as if my Physics and Mathematical concepts are lacking in depth. I've tried reading the Feynman Lectures, but I always get lost on the mathematical portions. What would you suggest for me to build up a solid base in both these fields so I can move on to the more advanced stuff?

Thank you
 
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Hello,

Can you tell us what math you already know (what classes did you take).
And can you tell us somewhat more specifically what math you're having troubles with? It helps me giving a good recommendation.
 
I'm rin an extended math class, where we've already covered a majority of algebra, basic statistics and a touch of first order derivations in calculus, which isn't at all fulfilling, because we haven't been taught limitations and I (due to lack of depth) can't find a reason to derive. I'm not having touble per send, my issue lies in depth and not understanding why; if that makes any sense.
 
If you want to gain deep knowledge of calculus, then you'll need to work through Spivak's calculus book. It's a tough book, but I think it's what you're looking for. It gives proofs of the derivative laws, limit laws, integrals, etc.
 
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