Update #6. Changelog: added binomial coefficients, radicals, vector spaces and something about functions of a real variable.

Here you are update #5. Changelog: added n-tuples, cartesian product, partitions, and something more about binary relations.

Here you are my new math notes. The main addition is the collection of the most important axioms of Zermeloâ€“Fraenkel set theory, but I also added something about the congruence relation and the exponentiation with an integer exponent.

Here you can find the very latest math notes. Changelog: added a section for positional numeral systems; added some properties of logical connectives and operations on sets; added a section for exponentiation (natural exponent only); added something about the relation of divisibility between integer numbers.

Today I tried compressing 8090 MiB of files using LZMA algorithm instead of bzip2, and I obtained 6448 MiB of compressed files instead of 6659 MiB (211 MiB less). Since it seems LZMA is better than bzip2 at reaching the highest compression ratio, I decided to use it whenever space is important and time is not, that is for archiving obsolete things. For my daily backups, instead, I will continue to use gzip, which offers a lower compression ratio but is relatively fast.

New math notes update! Changelog: added the definition of limit for real functions.

I just updated my math notes. I added something about algebraic structures such as semigroups, monoids, groups, rings and fields. Please let me know what you think.

Just want to share with you my math notes about discrete mathematics and real analysis. They are in no way complete, but I hope I can add new things in the next weeks. I wrote them using LaTeX, but I cannot upload the source files here because of the WordPress.com policy. If you want them, just send me an e-mail.

I’m qxtr01, a 22 years old boy from Italy. My main interests are computers and science, so I decided to study computer science at the university of Milan. I run Gentoo Linux on my desktop computer since 2004. Math is another thing I like, and I’m trying to understand it better. I don’t think I’m that good at writing in English, but you know, practice makes perfect. If you notice any error, please let me know.