How much calculus is needed for physics

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Discussion Overview

The discussion centers around the level of calculus knowledge required for studying physics, particularly in relation to Halliday's Fundamentals of Physics. Participants explore the adequacy of various calculus textbooks and the specific calculus concepts needed for different branches of physics, including potential applications in quantum mechanics.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant expresses the need for guidance on how much calculus is necessary for studying physics, indicating they are using Stewart's Calculus.
  • Another participant suggests that a better calculus textbook than Stewart's is needed for a complete understanding, recommending Spivak or Kline's book for practical applications.
  • Some participants argue that basic knowledge of derivatives and integrals is sufficient for introductory physics, noting that many students take physics alongside their first calculus courses.
  • There is a disagreement regarding the quality of Stewart's book, with some asserting it is adequate for the OP's needs, while others criticize it for lacking rigor.
  • A participant mentions that while Stewart's book may be understandable, it does not provide the necessary rigor for a solid foundation in calculus.
  • Another participant raises the question of how much calculus is needed for various branches of physics, including quantum mechanics, and whether more advanced mathematics is required for solving complex physics problems.
  • Some participants suggest that if the goal is to apply calculus in physics, there are alternative textbooks that may be more suitable than Stewart's.

Areas of Agreement / Disagreement

Participants express differing opinions on the adequacy of Stewart's Calculus, with some defending it as sufficient for introductory physics while others argue it lacks rigor. There is no consensus on the best calculus textbook or the specific calculus knowledge required for different areas of physics.

Contextual Notes

Participants highlight the importance of rigor in calculus education, but opinions vary on whether this is necessary for introductory physics. The discussion also touches on the varying needs for calculus knowledge across different branches of physics, indicating that requirements may change as one progresses in their studies.

oftigus
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I want to self study physics from Halliday's Fundamentals of Physics.I know that I can't study physics without calculus,but I am asking you how much of it I need to know for each area.
I am studying it from Stewart's Calculus 7th edition.
 
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Well first, you might want to get a better calculus textbook. I suggest using Spivak for complete understanding; but if you don't care so much for completeness and only need calculus to use as a tool to tackle physics problems I suggest you go with something like Kline's book.

Stewart's book is horrible

SolsticeFire
 
oftigus said:
I am asking you how much of it I need to know

Not a whole lot. At this level, all you need is basic knowledge of derivatives and integrals, and how to apply them to simple functions like polynomials and trig functions.

In the US, students often take an intro physics course at this level concurrently with the first two semesters of calculus.
 
SolsticeFire said:
Stewart's book is horrible
I disagree. For what the OP needs, Stewart is fine.

Is it the best Calculus book? No. But he doesn't need Spivak to start with some basic physics.
 
Sankaku said:
I disagree. For what the OP needs, Stewart is fine.

Is it the best Calculus book? No. But he doesn't need Spivak to start with some basic physics.

Just because it is sufficient to teach him what he needs to know for Halliday doesn't mean that he should be learning Calculus from it.

I would agree that Spivak would be a little over the top, but there are other books (Lang's A First Course in Calculus, for example).
 
What do you mean by saying Stewart's is bad?I got up to chapter 3(Applications of Differentiation) and I didn't have any trouble understanding it.
 
I think what they are trying to say the book lacks 'rigor' of some sort. In my opinion though, it will be fine for a first brush with Calculus if all you are looking for is how to use the techniques and have a lot of problems to practice with.

If you ever feel like getting a more theortical view on Calculus there are options, but I don't think everyone needs or wants that.
 
Well,I'll be studying calculus at school next year so I'll get a chance to really understand calculus then.I am studying for the physics olympiad now.Can anyone tell me how much calculus do I need for every branch of physics up to quantum mechanics?
Also,for solving more difficult physics problems,do I need to know more maths?
 
oftigus said:
What do you mean by saying Stewart's is bad?I got up to chapter 3(Applications of Differentiation) and I didn't have any trouble understanding it.

Like Marne said, the book lacks any sort of rigor, which isn't a good thing. Being able to understand a book doesn't mean that it's good.

Although you did say that you'll be learning Calculus next year in school, so as long as Stewart isn't your only source for learning Calculus, you should be fine.
 
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  • #11
micromass said:
If you just want to do calculus to apply it in physics, then you should consider this excellent calculus book: https://www.amazon.com/dp/0471827223/?tag=pfamazon01-20

It's in many ways superior than the horrible book of Stewart. Be sure to check this arrata first though: http://www.kurup.org/blog/2003/12/11/errata-for-quick-calculus/

This seems like a great book for my needs.Can anyone tell me some place where I can download or buy it in pdf format?I'd have a pretty hard time getting a copy of the book in the country where I live in.
 
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