My curiosity whetted by the first few paragraphs (and double pendulum illustration) of the Wikipedia entry, I want to learn as much and as deeply about chaos theory as possible without needing to know mathematics. Also interested in philosophical implications. Videos? Books or apps or web sites? My math may be weak, but I'm otherwise intelligent, so I'd prefer something much more thorough than, say, "Through the Wormhole" (I realize the math limitation's a huge hindrance, though).
Can a transcendental number such as pi, be raised to an irrational, but algebraic power resulting in an algebraic solution? Complex solutions would be acceptable. There might be a quick proof here, or there might not be. - Thanks for any help you can offer answering this! (And I promise that this isn't for a class or anything like that!)
Consider two rings that are intertwined. (These lie in 3-dimensional space, but when you draw it on paper it looks like a venn diagram.) In 3-dimensional space they cannot be unlinked. The questions is, if you had one more dimension, can you unlink them?
Is it too late for me to get into physics? [more inside]
is there a book on the mathematics of chess? [more inside]
Mefi mathematicians: How can I prepare to teach basic math? Much more inside! [more inside]
Graph theory seems hot right now. Don't know much about it, though. If one wanted to learn some of the most practical, useable, and interesting results from the field where would one turn? Bonus points for applicability in social sciences and/or web apps. And, tangentially, if one was potentially interested in focusing on graph theory and the social sciences, where would one look at grad school? [more inside]