I am a theoretical physicist and I sometimes use Mathematica to algebraically manipulate large equations. I though use it heuristically and I know a lot of researchers use Mathematica for symbolic computation.
What are the best ways to learn it.
Are there any books or any online course to understand it
What are good practices.
There are many good books on the subject, each with different focus, but for beginners I would recommend [1].
[1] S Wolfram, An Elementary Introduction to the Wolfram Language (Wolfram Media, Inc., 2016).
I have used Maple for years and absolutely love it! I've also used Mathematica and the Wolfram web site is the boss! I can really appreciate these resources because I learned higher math in the stone age, when we had to do everything by hand. I derived equations that went on for a dozen pages. One tiny mistake along the way ruined the outcome. At least I had a pencil and didn't have to chisel equations into stone. Be very thankful for the technology but don't neglect the theory. Knowing why and how is as important as what (getting an answer)!
MATLAB is the best calculator for all mathematical/statistical function graphics etc. See support: https://au.mathworks.com/help/symbolic/getting-started-with-symbolic-math-toolbox.html
Found an awesome book to learn. Seems to be exhaustive and with a lot of problems and examples.
Inna K. Shingareva, Carlos Lizárraga-Celaya - Maple and Mathematica, A Problem Solving Approach for Mathematics
Hi. I would request you to use MATLAB as well. However, for Mathematica, especially for the beginners, try "The Mathematica Book" by S. Wolfram. After going through this book, if you are a physics student, the book "Mathematica for Physics" by Robert L. Zimmerman & Fredrick I. Olness is one of the best.
Other books can be
*A Physicist's Guide to Mathematica-2nd Ed.(by Patrick T. Tam)
*Schaum's Outlines Mathematica-2nd Ed.(by Eugene Don)
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