The purpose of this blog is Mathematics, and only Mathematics. Generally speaking, the purpose is two-fold: to document new topics in Mathematics which I’ve read, and to present topics which I’m already reasonably familiar with. The informal (and often rather colloquial) language here allows me to express myself more freely.
Since a blog is quite ill-suited for a sequential set of notes, I’ve set up a “Main Page” category which contains the preface and table of contents for each set. So far topics include:
Some disclaimers are in order here. The notes are not intended to completely replace a good textbook – or even a not-so-good one – but to provide a first introduction to mathematical concepts. The reader is advised to use this in conjunction with a textbook. There’re lots of nice & free textbooks out there, so you can actually learn a lot just by surfing the Web.