├── LICENSE.md ├── README.md └── sols.tex /LICENSE.md: -------------------------------------------------------------------------------- 1 | To the extent possible under law, I waive all copyright and related or neighboring rights to this work. 2 | 3 | This is a CC0 license. For more details, see . 4 | -------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- 1 | # Notes on the combinatorial fundamentals of algebra 2 | 3 | This is a set of notes originally written for a PRIMES 2015 4 | reading project (but extended since). In its current version, it 5 | provides a detailed introduction to permutations and determinants 6 | (from a combinatorial viewpoint -- no linear algebra is presumed), 7 | as well as some basic material on binomial coefficients and 8 | recurrent sequences. 9 | It contains about 80 exercises with solutions, and a few exercises 10 | without. 11 | 12 | Up-to-date PDF files can be downloaded from my website: 13 | 14 | - [Full version (with solutions)](http://www.cip.ifi.lmu.de/~grinberg/primes2015/sols.pdf). 15 | 16 | - [Version without solutions](http://www.cip.ifi.lmu.de/~grinberg/primes2015/probs.pdf). 17 | (Use this if you want to solve the problems on your own and prefer not to see 18 | spoilers.) 19 | 20 | These notes also appear on the arXiv: [arXiv:2008.09862](https://arxiv.org/abs/2008.09862). 21 | However, they won't likely be updated frequently on the 22 | arXiv. 23 | 24 | -- Darij Grinberg (*firstname***lastname**@gmail.com) 25 | --------------------------------------------------------------------------------