Math student looking for introductory book in physics

Click For Summary

Discussion Overview

The discussion centers around recommendations for introductory physics books suitable for a math student with two years of university-level mathematics but no prior physics knowledge. The focus is on classical physics concepts, specifically the derivation of equations related to pendulums, vibrating strings, and heat equations.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant seeks an easy-to-read, affordable introductory physics book that provides insight into basic physics concepts and equations.
  • Another participant questions the specifics of the math background, asking if it includes multivariable calculus, differential equations, and linear algebra.
  • The original poster clarifies their math background, mentioning courses in linear algebra, multivariate calculus, Fourier analysis, differential geometry, and others, while expressing a desire for a basic understanding rather than a comprehensive physics education.
  • One suggestion is "Classical Dynamics of Particles and Systems" by Marion Thornton, noted to be potentially more advanced and not inexpensive.
  • Another recommendation is "Schaum's Outline of Lagrangian Dynamics," which may be suitable for understanding pendulums but is expected to be less focused on heat transfer.
  • An online resource, "Modern Physics for Mathematicians," is mentioned, though it may be too advanced and focused on quantum mechanics.

Areas of Agreement / Disagreement

Participants generally agree that the original poster's math background is sufficient for understanding introductory physics, but there is no consensus on the best book or resource to recommend.

Contextual Notes

Some limitations include the varying levels of difficulty in recommended texts and the potential mismatch between the original poster's expectations and the complexity of the suggested resources.

mackan__787
Messages
3
Reaction score
0
I'm looking for a nice easy to read introductory book in physics (classical physics ?) for someone who has two years of university level math but knows nothing of physics.

To be more precise, I want a book (preferebly cheap), that won't take too much effort to read and gives me enough insight so that I will be able to understand basic physics things like how to derive equations for pendulums, vibrating strings, heatequations etc (I assume these tings are basic?)

Anyone care to recommend such litterature ?

regards
/mackan
 
Physics news on Phys.org
mackan__787 said:
To be more precise, I want a book (preferebly cheap), that won't take too much effort to read and gives me enough insight so that I will be able to understand basic physics things like how to derive equations for pendulums, vibrating strings, heatequations etc (I assume these tings are basic?)

Must of the time this is third semester stuff physics stuff. What does 2 years of University math mean. Does it include multivariable calculus, differential equations, linear algebra, matrix methods?
 
Davorak said:
Must of the time this is third semester stuff physics stuff. What does 2 years of University math mean. Does it include multivariable calculus, differential equations, linear algebra, matrix methods?

What i mean with two years of university math (I realize this might be a bit vauge) is courses in linear algebra, multivariate calc, Fourier analysis, differential geometry, ODEs, basic probability and statistics, a few courses in numerics, calculus of variations. Not so much matrix theory if that is what you mean.

Anyway, I am not looking for a solid physics education, I just want to get some understanding of these things so that I can understand where the physics equations that are dropped in variouus math books come from.

And as i mentioned, I want this to be a fairly easy read (given that you have the math).

Perhaps I am asking for the impossible...

Any comments are welcome...

regards
/mackan
 
It does not sound impossible with your back ground. I am sure others on this forum may be able to give you better recommendations.
Classical dynamics of particles and systems by Marion Thornton 4th addition is what I learned out of. It probable more then you need. Also not cheap:


I think Schaum's Outline of Lagrangian Dynamics may be what you are looking for at least for the pendulums. If you have not Lagrangain dynamics and Hamilton dynamics are a very general way of deriving the fundamental differential equation. I doubt it will focus much on heat transfer.
Schaum’s outlines are cheap $12-18.

Online resource: Modern Physics for Mathematicians
http://www.lorentz.leidenuniv.nl/modphys/
Looks like it covers more quantum mechanics then you are looking for thought. Second chapter might be interesting. I took a brief glance it looks like it expects a high degree of mathematical fluency. It looks like it would be at grad school level, might be a bit too much.

Hope this helps
 
Davorak said:
It does not sound impossible with your back ground. I am sure others on this forum may be able to give you better recommendations.
Classical dynamics of particles and systems by Marion Thornton 4th addition is what I learned out of. It probable more then you need. Also not cheap:


I think Schaum's Outline of Lagrangian Dynamics may be what you are looking for at least for the pendulums. If you have not Lagrangain dynamics and Hamilton dynamics are a very general way of deriving the fundamental differential equation. I doubt it will focus much on heat transfer.
Schaum’s outlines are cheap $12-18.

Online resource: Modern Physics for Mathematicians
http://www.lorentz.leidenuniv.nl/modphys/
Looks like it covers more quantum mechanics then you are looking for thought. Second chapter might be interesting. I took a brief glance it looks like it expects a high degree of mathematical fluency. It looks like it would be at grad school level, might be a bit too much.

Hope this helps

Thanks!
I'll have a look at it.
regards
/mackan
 

Similar threads

  • · Replies 14 ·
Replies
14
Views
7K
  • · Replies 10 ·
Replies
10
Views
5K
  • · Replies 9 ·
Replies
9
Views
5K
  • · Replies 14 ·
Replies
14
Views
7K
  • · Replies 5 ·
Replies
5
Views
6K
  • · Replies 11 ·
Replies
11
Views
1K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 16 ·
Replies
16
Views
3K
Replies
5
Views
2K
  • · Replies 39 ·
2
Replies
39
Views
10K