The best introductory mechanics textbook

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Discussion Overview

The discussion revolves around the search for an appropriate introductory mechanics textbook suitable for self-study, particularly for a high school student preparing for physics competitions. Participants explore the importance of understanding fundamental concepts in physics, the role of proofs and derivations, and the challenges of grasping physical principles deeply.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification
  • Homework-related

Main Points Raised

  • One participant expresses a desire for a mechanics textbook that includes detailed proofs, emphasizing a learning style focused on understanding the "why" behind concepts.
  • Another participant argues that physics is not mathematics and does not typically involve proofs, but rather derivations and empirical models.
  • Concerns are raised about the depth of understanding required to truly grasp concepts like tension, with some participants suggesting that asking "why" can lead to overcomplication.
  • There is a discussion about the levels of understanding in physics, with one participant noting that deeper insights can sometimes come at the cost of computational ability.
  • Several participants suggest that definitions and laws in physics serve as a foundation for understanding relationships, contrasting this with the approach taken in mathematics.
  • One participant acknowledges a tendency to overcomplicate concepts due to a desire for atomic-level explanations, which can lead to confusion.
  • Another participant suggests that the search for fundamental explanations might distract from higher-level understanding.
  • Recommendations for textbooks include commonly used introductory texts for undergraduate students, such as those by Sears & Zemansky and Halliday & Resnick.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the nature of proofs in physics versus mathematics, nor on the best approach to understanding physical concepts. There are multiple competing views regarding the depth of understanding necessary and the appropriateness of different textbooks.

Contextual Notes

Some participants express uncertainty about the balance between seeking deep understanding and maintaining practical computational skills. There are also varying opinions on how definitions in physics should be approached, with some advocating for a more intuitive understanding while others emphasize the importance of rigorous definitions.

  • #31
adjurovich said:
There are also prodigies: 14-year-olds that can solve college math problems easily? Why don’t you tell them to follow the curriculum?
edit: response removed in order to plan the response better

improved response:
Maybe you are and maybe you are not a prodigy. You should not expect yourself to be one.
If interested enough in Physics, then you will respond to this interest. The rest is
you put in enough effort to learn, because you are compelled from the inside to do it.
 
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  • #32
adjurovich said:
I find something about your attitude to be very arrogant.
Right back atcha.
 
  • #33
Vanadium 50 said:
Right back atcha.
Fine, but I still didn’t get the explanation why I “don’t want” to go to competitions?
 
  • #34
symbolipoint said:
No! Most (of us ) will reject that as it is stated. "Reading some literature" and "watching tutorials,..." are not enough to learn. The learning process is more than just that, and at present I will not describe it; I have tried to in a few other postings in other related topics.
It doesn’t matter how I learnt it if can take the derivative? I also have as much theoretical background as I need: I understand what it is, how to use it, where to use it and when to use it? Maybe it’s wrong because I didn’t start from the group theory? I still think that’s relatively good for a high school student. The only gap I can think of in my precalculus knowledge are hyperbolic functions because I was so lazy to learn them, but I’ll do that when I find some extra time. But I don’t think mathematics is what this thread is intended for?
 
  • #35
adjurovich said:
It doesn’t matter how I learnt it if can take the derivative? I also have as much theoretical background as I need: I understand what it is, how to use it, where to use it and when to use it? Maybe it’s wrong because I didn’t start from the group theory? I still think that’s relatively good for a high school student. The only gap I can think of in my precalculus knowledge are hyperbolic functions because I was so lazy to learn them, but I’ll do that when I find some extra time. But I don’t think mathematics is what this thread is intended for?
I will be nice since you are a kid.

But you need an attitude adjustment. Your responses to the majority of users on this thread have been extremely rude.

Your know it all attitude will be a detriment to not only future studies, but life in general.
 
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  • #36
MidgetDwarf said:
I will be nice since you are a kid.

But you need an attitude adjustment. Your responses to the majority of users on this thread have been extremely rude.

Your know it all attitude will be a detriment to not only future studies, but life in general.
I may have been rude with Vanadium since this guy commented some critique on every single thread I’ve made. My opinion is that if you don’t like some thread you should just skip? I think it’s a very reasonable one? I am very thankful to all members that have helped/tried to help me on this forum. However it’s obviously arrogant behavior if you are constantly trying to put down someone for no reason? I sincerely apologize to others if my responses sounded rude because it wasn’t my intention.
 
  • #37
The discussion in this thread goes nowhere and it is off the previously intended topic. Isn't time to close it?
 
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  • #38
Frimus said:
The discussion in this thread goes nowhere and it is off the previously intended topic. Isn't time to close it?
Before topic becomes closed if that happens, one piece of advice is that o.p. try to get some academic and career advice & counseling local to where he is.
 
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  • #39
Thread closed for Moderation...
 
  • #40
Thread will remain closed.

@adjurovich -- you have received good feedback in this thread, both on your original question (textbooks), and on how your attitude is coming across to others. Please re-read the thread (I just did), and please take the advice to heart. You are young and curious and have a good future ahead of you, as long as you can start figuring out more about your intuition on how you learn best.

I also agree that it would be good for you to find a local Mentor to work with you where you live, and talk to your high school counselor to try to get into a better track for advanced students.
 
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