Choosing the Best Symbolic Language for Mathematical Manipulation on a PC

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SUMMARY

The forum discussion centers on the selection of the most user-friendly symbolic language for mathematical manipulation on a PC, with a focus on Mathematica and Maple. Users express a strong preference for Maple due to its straightforward syntax, ease of use, and practical features like LaTeX conversion. Mathematica, while popular, is criticized for its steep learning curve and complex syntax. The conversation also touches on the capabilities of both tools in handling advanced mathematical concepts such as differential geometry and tensor manipulation.

PREREQUISITES
  • Familiarity with symbolic computation concepts
  • Basic understanding of Mathematica 6.0 and Maple 13
  • Knowledge of mathematical expressions and integrals
  • Experience with tensor manipulation in mathematical contexts
NEXT STEPS
  • Research the differences between Mathematica and Maple for symbolic computation
  • Explore Maple's capabilities for differential geometry and tensor manipulation
  • Learn about LaTeX conversion features in Maple for mathematical documentation
  • Investigate additional toolboxes available for Maple to enhance functionality
USEFUL FOR

Mathematicians, researchers in computational mathematics, and students exploring symbolic computation tools for advanced mathematical manipulation.

  • #31


Orion1 said:
Any recommendations on other Mathematica packages that can calculate the Einstein_tensor?
[/Color]

Just off hand, given the Ricci tensor and metric in covariant form, it shouldn't be too difficult to obtain the Einstein tensor using matrix operations. Both are rank two tensors. It's involves only matrix addition and scalar multiplication of a matrix, plus finding the trace of the Ricci tensor, where the covariant form is implicit.

Ultimately, I plead ignorance of all this for the most part, being fairly new at it. Hope this can help, anyway.
 
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  • #32
This is kind of an out of the box suggestion, but what about Wolfram Alpha? It is convenient to have the tools available in any web browser, even an i-phone.

http://www.wolframalpha.com/examples/"
 
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