What software can I use to visualize transformations of the plane?

AI Thread Summary
To visualize the transformation u=cot-1(1/α y/x) and v=αx²+y²/α, several software options are recommended, including MATLAB, Maple, Maxima, Octave, and Scilab for mathematics, and Tecplot and Gnuplot for graphics. While Tecplot, MATLAB, and Maple require payment, students may receive discounts through their universities. Maxima, Octave, and Gnuplot are free alternatives. The discussion highlights the importance of selecting the right tools for effective visualization of mathematical transformations. Overall, a variety of both paid and free software options are available for this purpose.
sari
Messages
23
Reaction score
1
For example, I would like to visualize the transformation

u=cot-1(1/α y/x)
v=αx2+y2/α
 
Physics news on Phys.org
mathematics packages:
matlab, maple, maxima, octave, scilab
graphics packages:
tecplot, gnuplot.

There are probably dozens (hundreds?) more, but these are the ones I use.
 
Thanks! Are any of those free?
 
you have to pay for tecplot, MATLAB and maple, but if you are a student then your university might get you a discount.
 
Thread 'Gauss' law seems to imply instantaneous electric field propagation'

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...
View full post »

Thread 'Do electron density waves accompany EM waves in coaxial cables?'

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...
View full post »
Thread 'Recovering Hamilton's Equations from Poisson brackets'

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...
View full post »

Similar threads

I What is the purpose of the vector α in the rotational work integral?
Replies
3
Views
1K
I What does "transforms covariantly" mean here?
Replies
4
Views
945
B Understanding the Galilean transformation
Replies
3
Views
3K
I Coordinate transformation for isotropy
Replies
7
Views
1K
I The different generators of canonical transformations
Replies
3
Views
1K
I Axes of the 2-d coordinate system used in vector resolution
Replies
5
Views
1K
I Canonical transformation from canonical to kinetic momentum
Replies
7
Views
1K
I Writing the Lagrangians for different frames depending on how "the ball is dropped"
Replies
5
Views
1K
I Mathematical disagreement with inverse square law?
Replies
33
Views
2K
I Active transformation use-case in homogeneity
Replies
13
Views
1K

Hot Threads

Recent Insights

Back
Top