Notes on determinants and other concrete algebra (PRIMES 2015 reading project: problems and solutions)
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Notes on the combinatorial fundamentals of algebra

This is a set of notes originally written for a PRIMES 2015 reading project (but extended since). In its current version, it provides a detailed introduction to permutations and determinants (from a combinatorial viewpoint -- no linear algebra is presumed), as well as some basic material on binomial coefficients and recurrent sequences. It contains about 80 exercises with solutions, and a few exercises without.

Up-to-date PDF files can be downloaded from my website:

-- Darij Grinberg (