Physics and Math teaching textbook reccomendations

[niranjanken]

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

 

[micromass]

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.

 

[niranjanken]

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.

 

[micromass]

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.

 

[Matrix0]

for reaching out and wanting to improve your understanding of physics and math! It's great to see a young student like yourself taking initiative to strengthen your knowledge in these subjects.

First of all, I would recommend finding a good introductory textbook for both physics and math. These textbooks are designed to guide students through the basic concepts and provide clear explanations of the mathematical principles involved. Some popular options for physics include "Fundamentals of Physics" by Halliday, Resnick, and Walker, or "University Physics" by Young and Freedman. For math, "Calculus: Early Transcendentals" by James Stewart or "Mathematical Methods in the Physical Sciences" by Mary L. Boas are good choices.

Additionally, I would suggest seeking out additional resources such as online lectures, practice problems, and study guides. Khan Academy and MIT OpenCourseWare are great websites that offer free educational materials in both physics and math. You can also join study groups or seek help from your teachers or peers to clarify any concepts you may be struggling with.

It's important to remember that mastering physics and math takes time and practice, so don't get discouraged if you don't understand everything right away. Keep working hard and seeking out resources, and you will gradually build a strong foundation in these subjects. Best of luck to you in your studies!