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I'm getting curious about metrics but my knowledge of mathematics ends about half way through introduction to linear algebra. Are there any good resources for learning about them as a brainlet?
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>>8584246
Metric as in metric spaces or Riemannian manifolds?
The former you should have no problem with, the latter is out of your reach for now.
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>>8584262
The former I think. does discussion of L1, L2 and Minkowski space fall under that category?
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>>8584266
yes yes no
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>>8584246
Metric Spaces: Iteration and Application by Victor Bryant
Metric Spaces by Mícheál O'Searcoid
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>>8584278
Just use libgen
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>>8584278
>Is minkowski that much more complicated? I have a better understanding of Minkowski than I do of L1
The term metric for Minkowski space means a metric tensor as in (Semi-)Riemannian geometry, not a metric as in metric topology.
The metric tensor for Minkowski space is very simple, it is just the word metric means something different.
In general through, the definition of a metric tensor on a manifold is more complicated than the definition of a metric on a metric space.
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