Math student looking for introductory book in physics

AI Thread Summary
An individual seeks an introductory physics book suitable for someone with two years of university-level math but no prior physics knowledge. They desire a resource that is easy to read and affordable, focusing on basic concepts like pendulums and heat equations. Recommendations include "Classical Dynamics of Particles and Systems" by Marion Thornton, though it may be more advanced and costly. Schaum's Outline of Lagrangian Dynamics is suggested as a more accessible option, priced between $12-18. Online resources like "Modern Physics for Mathematicians" are also mentioned, but may be too advanced for the user's needs.
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
 
Thread 'Gauss' law seems to imply instantaneous electric field propagation'
Imagine a charged sphere at the origin connected through an open switch to a vertical grounded wire. We wish to find an expression for the horizontal component of the electric field at a distance ##\mathbf{r}## from the sphere as it discharges. By using the Lorenz gauge condition: $$\nabla \cdot \mathbf{A} + \frac{1}{c^2}\frac{\partial \phi}{\partial t}=0\tag{1}$$ we find the following retarded solutions to the Maxwell equations If we assume that...
Maxwell’s equations imply the following wave equation for the electric field $$\nabla^2\mathbf{E}-\frac{1}{c^2}\frac{\partial^2\mathbf{E}}{\partial t^2} = \frac{1}{\varepsilon_0}\nabla\rho+\mu_0\frac{\partial\mathbf J}{\partial t}.\tag{1}$$ I wonder if eqn.##(1)## can be split into the following transverse part $$\nabla^2\mathbf{E}_T-\frac{1}{c^2}\frac{\partial^2\mathbf{E}_T}{\partial t^2} = \mu_0\frac{\partial\mathbf{J}_T}{\partial t}\tag{2}$$ and longitudinal part...
Thread 'Recovering Hamilton's Equations from Poisson brackets'
The issue : Let me start by copying and pasting the relevant passage from the text, thanks to modern day methods of computing. The trouble is, in equation (4.79), it completely ignores the partial derivative of ##q_i## with respect to time, i.e. it puts ##\partial q_i/\partial t=0##. But ##q_i## is a dynamical variable of ##t##, or ##q_i(t)##. In the derivation of Hamilton's equations from the Hamiltonian, viz. ##H = p_i \dot q_i-L##, nowhere did we assume that ##\partial q_i/\partial...

Similar threads

Replies
14
Views
4K
Replies
9
Views
4K
Replies
39
Views
7K
Replies
1
Views
1K
Replies
1
Views
1K
Back
Top