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I am studying Linear and abstract algebra and find it a bit too, again "abstract", could someone recommend me a good book so I can learn it through computational applications? I think it will make the learning process easier for me.

Kind regards.

Phosphene
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    Computational applications are a different area, e.g., solving systems of polynomial equations with Gröbner bases. I suppose you just need many concrete examples for groups, rings, fields and such things.For recommendations see this site here, e.g., here. – Dietrich Burde May 09 '21 at 19:28
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    Thank you for the recommendation. Could you recommend me a computational application book anyhow? Thanks. – Phosphene May 09 '21 at 19:30
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    A famous book using computational methods in algebra and geometry is this one for example. – Dietrich Burde May 09 '21 at 19:34
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    While it's not a textbook there are many resource for learning about the OpenGL transform in computer graphics which relies heavily on linear algebra to solve geometric problems. It's a common application with easy to visualize results that I found to be useful. – CyclotomicField May 09 '21 at 19:58
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    https://www.amazon.com/Linear-Algebra-Coding-Python-application-ebook/dp/B08CT47RL3 I am looking for something similar to this but more oriented to Abstract Algebra, symbolic computations, and so on.. – Phosphene May 10 '21 at 00:13
  • For Linear Algebra, I'm a fan of Gilbert Strang's linear algebra books such as Linear Algebra and Its Applications. – littleO May 10 '21 at 07:28

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I noticed while reading Wikipedia a while back that one of our better contributors, Derek F. Holt, authored a book with Eick and O'Brien called Handbook of Computational Group Theory.

He appears, based on his posts, to know a lot about the subject, and group theory in general.

Also, while I haven't used it myself, I have gathered that GAP is a very useful tool for the subject. I suggest looking into it.