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August 29, 2003

So I've Been Told (2)

If I were a Springer-Verlag Graduate Text in Mathematics, I would be Frank Warner's Foundations of Differentiable Manifolds and Lie Groups.

I give a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. I include differentiable manifolds, tensors and differentiable forms. Lie groups and homogenous spaces, integration on manifolds, and in addition provide a proof of the de Rham theorem via sheaf cohomology theory, and develop the local theory of elliptic operators culminating in a proof of the Hodge theorem. Those interested in any of the diverse areas of mathematics requiring the notion of a differentiable manifold will find me extremely useful.

Which Springer GTM would you be? The Springer GTM Test

I'd once been told that I should find a support group for child prodigies. I don't think I was a child prodigy, but I was really upset that I couldn't have piano lessons at the poor public school I attended. Further, I hated the fact that during the teacher's strike of 1969 when we went on a field trip to Hancock Park, that they wouldn't let me touch the Van de Graff generator.

I realize that I have spent an inordinate amount of time in my life avoiding being considered a geek. And so I never developed a great deal of resentment for the fact I have no idea about differentiable manifolds. But there are days when I feel as if I have been cheated...

This isn't so very important is it? Nevermind.

Posted by mbowen at August 29, 2003 11:32 PM

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Comments

You too, eh? Truth be told, if there was one subject I disliked studying in my university days, it was this one. There's just something about the notation in differential topology that makes my eyes glaze over and my brain stop functioning. It's too ... busy!

Posted by: Abiola Lapite at August 30, 2003 02:06 PM