When it comes to math, the brain is no different from an ordinary muscle: without relatively constant strength training, it will eventually atrophy.
Ever since I finished my college degree, it has been increasingly clear that my math skills are lacking. I think back to what I was able to do in school, and I realize that I haven't kept up on math practice -- or even gone back to investigate things that weren't clear at the time -- and I can feel it. A full-time job and other obligations basically preclude the kind of focus that most degree-holders have realized.
Now that studying isn't obligatory, I'm actually more interested. Indeed, even things that weren't very clear in school now interest me, and I want to go back and re-learn things I never quite got. Two topics in math that interest me are Graph Theory and Combinatorics. My program didn't offer a Combinatorics course, and I lacked the Linera Algebra prerequisite for Graph Theory.
So, after a few failed attempts at re-starting a study habit, I'm at it again. This time, I've got some time blocked out each week and a few places picked out that meet my requirements (accessible by bike or bus, relatively quiet, food, etc.).
As I work problems from two books I have on these topics, I'd like to pick some of the interesting ones and post them here, complete with solutions if I can provide them, or provide a little discussion. If you're having trouble starting a study habit, I hope you'll find this interesting, too.
The study habit sounds like a good idea. I'm delving back into books (fiction) but I haven't made a formal commitment to the study routine yet. I'll have to give this some thought. Let me know how it works out for you and if you have to make any adjustments to make it flow better.
Interesting bit about TeX in P-tags. I'll have to learn some TeX so I can sign my posts with phat logik.
I do it off and on. Mostly off. A tough combination of work, desire for unstructured free time, laziness, and other interesting activities is usually the culprit. As far as studying anything like math, at least. For reading I have my twice-daily bus trips, so I get in about 2 hours of reading per day, at a minimum. Yay for not driving!
As for P-tags, that's just the delimiter I chose for "plain
" as opposed to "math mode
." The same code is interpreted differently depending on the mode, so that's why there are two delimiters for inline code. If you're interested in high-quality typesetting (creating beautiful documents), I recommend checking out
. It's available on any reasonable linux distribution.