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Differential Geometry: Book on its applications?

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  • Thread starter s00mb
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Main Question or Discussion Point

Hi, I'm already familiar with differential forms and differential geometry ( I used multiple books on differential geometry and I love the dover book that is written by Guggenheimer. Also used one by an Ian Thorpe), and was wondering if anyone knew a good book on it's applications. Preferably not just in the realm of relativity. I used to study alot of pure mathematics topics and now I'm leaning towards applications and I've noticed that there is very little on the subject that I can find, which I think is a shame because it is my favorite subject (Fractional calculus is cool too, I even found some papers on fractional differential forms and geometry). Any suggestions? I'm flexible on this; it doesn't have to be a dedicated differential geometry book but I'd say if it has a few good chapters on applications that would be neat. I'm not too familiar on the subject of aerodynamics, does anyone know if that subject uses it? Thanks for your help! -James
 

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  • #2
Demystifier
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Looks very promising, thank you!
 
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robphy
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  • #6
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Thanks for the additional references. I've started the homological algebra and have previously read some of Kranes paper I like them alot. I haven't seen that before. I had a different book on discrete differential geometry but it was very jumbled with different topics kind of piled one on top of each other with no seeming attention to its order. I find the discrete stuff very interesting. I wonder if there is a discrete analog of hyperbolic geometry or if you can construct such a thing using Krane's stuff? I'll definitely read that thank you.
 

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