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I've learned many theorems in analysis but have found the collection of problems in Pólya's Problems and Theorems in Analysis to broaden and deepen my knowledge of the subject (along with providing many hours of fun).

Is there a similar book for problems in algebra? I recently took an introductory course whose problems were far too easy. I would like to get better at the subject.

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V. B. Alekseev, Abel's Theorem in Problems & Solutions.

http://www.nairanalytics.com/abel.pdf

E. S. Lyapin, A. Ya. Aizenshtat, and M. M. Lesokhin, Exercises in Group Theory.

http://hep.fcfm.buap.mx/TTG/libros/Exercises%20in%20Group%20Theory%20by%20E.S.Lyapin....pdf

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    $\begingroup$ The second link is clearly piracy. I do not think it is a good idea to point it out here. $\endgroup$
    – Siminore
    Aug 5, 2013 at 17:00
  • $\begingroup$ @Siminore: Thank you, I wrote another address. Is it OK? $\endgroup$ Aug 5, 2013 at 18:44

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