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Thanks in advance!

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- Thread starter vktsn0303
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- #1

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Thanks in advance!

- #2

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- #3

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Yes, I agree it's a rather broad question. Sorry about that.

I would actually like to learn about singularities in a strict mathematical sense. So, if I have to learn about convolution, singularity and kernels in particular where should I start looking?

I did google about them a bit, found some information in wikipedia. But I think it would be much better if I knew the basics of whatever it is I have to know to understand convolution, singularity and kernel. That way I would be able to understand the context of application of these concepts.

- #4

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https://www.amazon.com/dp/0387901388/?tag=pfamazon01-20

but this isn't quite easy to read as it is mainly based on measure theory, whereas usual college courses proceed along the lines

- #5

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Thanks a lot for the information, fresh_42. I'll try to look up lecture notes that are made available online. I think that's the easier way to learn too.

https://www.amazon.com/dp/0387901388/?tag=pfamazon01-20

but this isn't quite easy to read as it is mainly based on measure theory, whereas usual college courses proceed along the linesreal analysis - vector analysis - complex analysisand maybe followed byfunction theoryandfunctional analysis. In addition to understand vortex theory, even some basics ondifferential geometryanddifferential equationsmight be needed. So in order to deal with vortex theory in special, it might be more promising to look out for individual papers, that deal with certain questions. Google often leads to lecture notes on certain topics, that can be read in a reasonable amount of time. Many universities provide such notes on the internet. But as a tip: it's better to search via Google rather than on the universities' homepages, as you normally cannot get through to the individual papers by starting on their homepages.

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