Notes and papers on algebra and algebraic combinatorics
Darij Grinberg, Notes on the combinatorial
fundamentals of algebra.
PDF file.
Sourcecode and Github repository.
A version without solutions,
for spoilerless searching.
A set of notes on binomial coefficients, permutations and
determinants written for a
PRIMES
reading project 2015. Currently covers some binomial coefficient
identities (the Vandermonde convolution and some of its variations),
lengths and signs of permutations, and various elementary properties
of determinants (defined by the Leibniz formula).
The sourcecode of the project is also tracked
Darij Grinberg, Notes on
linear algebra (work in progress).
PDF file.
Github repository.
A rigorous introduction to linear algebra, currently in its early
stages. This accompanies
my Math 4242 class
at the University of Minneapolis.
Darij Grinberg, A few
facts on integrality (version 30 November 2010).
PDF file.
Detailed version with all the
proofs much more formalized.
Old version (version 20 August
2009) with slightly weaker Theorem 1.
Sourcecode of all the files.
See main page for an abstract.
Algebra notes
Darij Grinberg