Any recommendations for a good graduate level text book for an introduction to mathematical finance course? [more inside]
I'm a pure mathematician with a Ph.D. and I'm currently a visiting professor at a large state university. However, I'm looking to switch gears and get into the quantitative finance field. The problem is that I don't know anything at all about finance. I know that there are companies such as D. E. Shaw that hire mathematicians that don't have financial experience; what other companies should I look at? Is there any general advice you'd give someone in my position? Also, I have my Ph.D. from a well-regarded state school, but I'm not an Ivy-leaguer; does that put me at a disadvantage?
As a former scientist, help me gain some faith in economics. What were the great successes of economics as a tool for making better decisions in the last 100 years? [more inside]
Does anyone here do any programming for financial modeling? (more inside) [more inside]