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So, Mathematica was constructed as a computer algebra system, but most textbooks focus on programming, mathematical problems of secondary school type or numerically-technical specialization (matrix, integral or ODE computation...) But there is a textbook specialized for use in, for instance, group theory, commutative & non-commutative algebra, polynomial algebra (include, for instance Gröbner basis) et.c.?

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    $\begingroup$ See springer.com/la/book/9780387986197 and math.ucsd.edu/~ncalg . Unfortunately, the documentation on the latter package is not a textbook. $\endgroup$ – user64494 Oct 5 '18 at 11:44
  • $\begingroup$ The book of Cox/Little/O'Shea has a short section on how to use Mathematica along with their book, but it is only a short appendix IIRC. $\endgroup$ – J. M. will be back soon Oct 5 '18 at 11:49
  • $\begingroup$ @J. M. is somewhat okay: Are you serious? Par 1 of Appendix C consists of 7 pages on Maple, Mathematica, and Sage. $\endgroup$ – user64494 Oct 5 '18 at 12:00

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