How useful is a symbolic calculation tool?

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SUMMARY

Symbolic calculation tools like Mathematica, Maple, and MATLAB are essential for theoretical physicists and engineers dealing with complex equations. Users report that Mathematica is preferred for symbolic calculations, while MATLAB's symbolic libraries are effective for numerical work. Learning these tools is beneficial, as they significantly reduce the time spent on manual manipulations and error checking. MathCad, although not recommended, is mentioned as a useful legacy tool for checking derivations and unit compatibility.

PREREQUISITES
  • Familiarity with symbolic computation concepts
  • Basic understanding of Mathematica and Maple functionalities
  • Experience with MATLAB's symbolic libraries
  • Knowledge of algebra and calculus for effective tool usage
NEXT STEPS
  • Explore advanced features of Mathematica for symbolic calculations
  • Learn how to utilize Maple for complex algebraic manipulations
  • Investigate MATLAB's symbolic toolbox for numerical applications
  • Research free alternatives like Maxima for basic symbolic computations
USEFUL FOR

The discussion is beneficial for theoretical physicists, engineers, and educators seeking to enhance their proficiency in symbolic calculation tools and improve their workflow efficiency.

accdd
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How often during your work do you use a symbolic calculation tool like Mathematica / Maple / SymPy? Is it worth learning(especially for a theoretical physicist)? Thank you.
 
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When you need them, they are definitely worth the small amount of work to learn. I have only used them a few times on very long equations that would have driven me crazy trying to manipulate. Mathematica and Maple are easy to learn and use. I have never used Sympy and am not familiar with it.
 
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I used mathematica and custom made packages for it on an almost daily basis for my PhD thesis
 
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accdd said:
How often during your work do you use a symbolic calculation tool like Mathematica / Maple / SymPy? Is it worth learning(especially for a theoretical physicist)? Thank you.
For symbolic calculations, I, personally, find that MATLAB is far better than SymPy. On the other hand, most scientists prefer Mathematica for symbolic calculations. If your work entails plenty of symbolic calculations, then probably Mathematica should be the preferred tool.

Note that I haven't used Mathematica, so take my words with a grain of salt. There are people here who have used it and will be able to give better advice. I have MATLAB and mostly use it for numerical work, but when needed, MATLAB's symbolic libraries have met my needs.

And it's definitely worth learning these tools.
 
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A symbolic tool can be much better than spending hours on manipulation, then days checking your work, only to spot a mistake two weeks after sending it out. (Don't ask me how I know.)
 
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I use an ancient version of MathCad* for that, and OMG, I couldn't live without it for complex algebra, trig, and such. In my world of engineering, you have to check your work all by yourself, there's no answer key and being wrong is expensive in many different ways (mostly wasted time, which we don't have). Humans, especially me, I think, make mistakes. It's a simple way to check derivations.

*No, I'm not recommending it. But I know it and have it and it works well enough.
 
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DaveE said:
I use an ancient version of MathCad* for that, and OMG, I couldn't live without it for complex algebra, trig, and such. In my world of engineering, you have to check your work all by yourself, there's no answer key and being wrong is expensive in many different ways (mostly wasted time, which we don't have). Humans, especially me, I think, make mistakes. It's a simple way to check derivations.

*No, I'm not recommending it. But I know it and have it and it works well enough.
I used MathCad for a while long ago and loved it. It checked units for compatibility and allowed easy mixing of text with calculations. I miss it. I thought that it would lead the way to better math tools, but it was just ignored.
 
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FactChecker said:
I used MathCad for a while long ago and loved it. It checked units for compatibility and allowed easy mixing of text with calculations. I miss it. I thought that it would lead the way to better math tools, but it was just ignored.
You can still buy it. $700.
 
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DaveE said:
You can still buy it. $700.
Actually, I think I did long ago. I don't need it now. I just thought that some of its great features would become a trend. Instead, we regressed.
 
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Maxima is free and still works. For most simple algebra problems it does just fine.
 
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In my experience, one learns to use the tools that are easily accessible. As a grad student, my school’s site license was for Maple… so I learned to use Maple. (For symbolic calculations, I am more comfortable with Maple than I am with Mathematica or Matlab.)

These days as a faculty member, I want to learn to use more freely available tools… so I can encourage students to use them. (If one needs something more specialized that’s only available in maple, mathematica, matlab, etc…. then move toward that afterwards.)

I use such tools on occasion… maybe twice a week for general tasks… more often if I am working on a specific problem.
 
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