[jqgatsby]

that's funny, I ended up buying the book based on exactly the same HN comment and received it today. The idea that calculus could be learned based on the dual numbers is really intriguing to me, especially because I've been studying them in conjunction with their cousins the double (or split-complex) numbers, and trying to understand the whole Cayley-Klein geometry framework, for some years now.

It's sort of a never-ending spiral of research, where I never seem to be able to get to the core of the subject (geometry). Today I am looking at Stillwell's "The Four Pillars of Geometry", in yet another attempt to understand the cross-ratio, and in particular, Von Staudt's reconstruction of arithmetic based on projective geometry. Of course one could go deeper, to Klein and Russell's criticisms of Von Staudt and so on...

Each time I think to close my hand on the golden bird, she flits from my grasp.

[hilbert42]

Yeah right. I'm not a mathematician by profession so much of my time has been spent just plugging values into equations. The trouble with that is twofold, first one can forget those less frequently used esoteric tricks one was taught, and second, one can overlook whole swathes of the subject - those parts outside one's normal orbit.

I never seem to have enough time to sit down and do nothing but mathematics for its own sake.