As promised below, my student article on differentiable manifolds can
now be found at
https://www.hpcoders.com.au/docs/differentiableManifolds.pdf

Apologies for the difficult to read font - this was done on Wordstar
and a dot matrix printer, before laser printers (and LaTeX) became a
thing.

Cheers

On Mon, Nov 10, 2025 at 05:15:53PM +1100, Russell Standish wrote:
> On Sun, Nov 09, 2025 at 09:55:15PM -0800, Alan Grayson wrote:
> > 
> > 
> > Someday I might find a teacher who can really define tensors, but that day 
> > has
> > yet to arrive. Standish seems to come close, but does every linear 
> > multivariate
> > function define a tensor? I'm waiting to see his reply. AG
> 
> Well I did say multilinear function, but the answer is yes, every
> multilinear function on a vector space is a tensor, and vice-versa.
> 
> I did write an 8 page article appearing in our student rag "The
> Occasional Quark" when I was a physics student, which was my attempt
> at explaining General Relativity when I was disgusted by the hash job
> done by our professor. I haven't really thought about it much since
> that time, though. I can also recommend the heavy tome by Misner,
> Thorne and Wheeler.
> 
> I could scan the article and post it to this list, but not today - I
> have a few other things on my plate before finishing up.
> 
> 
> 
> -- 
> 
> ----------------------------------------------------------------------------
> Dr Russell Standish                    Phone 0425 253119 (mobile)
> Principal, High Performance Coders     [email protected]
>                       http://www.hpcoders.com.au
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Dr Russell Standish                    Phone 0425 253119 (mobile)
Principal, High Performance Coders     [email protected]
                      http://www.hpcoders.com.au
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