Minimal Programming Mathematics Software

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Discussion Overview

The discussion revolves around the search for programming mathematics software that minimizes the programming effort required, allowing users to focus more on mathematical concepts and applications. Participants explore various software options for solving mathematical problems like the 2D wave equation and creating visualizations, while considering the trade-offs between ease of use and customization.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant expresses frustration with Matlab's complexity and seeks alternatives that streamline the process of solving equations and generating plots.
  • Another participant argues that simplifying software too much could hinder its adaptability and usefulness, suggesting that some learning is necessary to customize functions effectively.
  • A suggestion is made that Mathcad might meet the needs of users looking for less programming-intensive software, although the participant personally does not favor it.
  • Another participant notes the challenge of finding software that balances ease of use with powerful features, mentioning that more powerful tools typically require more learning.
  • This participant shares their experience using Python and its libraries (numpy, scipy, matplotlib) for mathematical tasks, highlighting the benefits of open-source software and recent discoveries like xmds for solving ODEs and PDEs.

Areas of Agreement / Disagreement

Participants do not reach a consensus on a single software solution. There are competing views on the balance between ease of use and the necessity of learning for customization, with some favoring Matlab and others advocating for alternatives like Mathcad or Python.

Contextual Notes

Participants express varying levels of satisfaction with different software options, and there is acknowledgment of the trade-offs involved in choosing tools based on user needs and preferences.

Alexrey
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After using Matlab here and there whilst I was at university, I thought that although it was very powerful, its use was extremely cumbersome and slowed down what should be fairly simple processes like making 3D plots and solving ODEs, PDEs etc. That got me wondering if there were any programs out there that take out as much of the programming as possible and let you focus more on the mathematics. So if I decided to, say, solve the 2D wave equation and create a time varying 3D plot of the result, it wouldn't take me more than 5 minutes.

Are there any programs out there that allow someone to do that?
 
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IMHO, if you take the learning curve out of the software then you need to pre-program much more of the features. This makes it less useful, less adaptable, and it will produce more glitter than useful numbers/graphs. In order for it to be useful, people need to be able to customize the functions to their particular problem. In order to customize, they will have to spend a little time learning the software.

That said, once you spend more time with MATLAB you can easily "solve the 2D wave equation and create a time varying 3D plot of the result" and it won't take more than 5 minutes.

i.e. http://youtu.be/ySa6p5KGTXc
 
Mathcad is probably what you are looking for. That said I personally don't like it.
 
It is difficult to find one single piece of software that does everything easily. Also, typically, the more power you want the more you need to learn...unless you find a specific piece of software that specializes in one thing, it may make THAT easy.

Having said that...I don't particularly use mathcad either...it is nice, easy, and close to what it is literate programming where you can keep explanations and calculations side-by-side.

Presently, I have been doing my stuff with python and the various modules like numpy, scipy, matplotlib.

I like browsing the net for open source initiatives...it is amazing what you can find out there.

Over the past weekend, I found xmds which apparently makes it easy to do one of the things you mentioned (ODE, PDE).
 

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