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[[Category:Walther MA271 Fall2020 topic7]]
 
[[Category:Walther MA271 Fall2020 topic7]]
  
=Walther_MA271_Fall2020_topic7_Bibliography=
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=References=
  
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More on String Theory and Riemann Surfaces:
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http://www.damtp.cam.ac.uk/user/rar31/LectureNotes.pdf
  
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More on Mathematical topology -- This was a class project from a class at Colorado State. The introduction is also particularly entertaining:
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https://www.math.colostate.edu/~renzo/teaching/Topology10/Notes.pdf
  
Put your content here . . .
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A very helpful video in visualizing what Riemann surfaces look like and explains how they work in the complex plane.
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https://www.youtube.com/watch?v=4MmSZrAlqKc
  
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More on Hyperelliptic curves and its other properties:
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https://www.acadsci.fi/mathematica/Vol25/schmutz1.pdf
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And this one written by someone from Purdue:
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http://www.mathe2.uni-bayreuth.de/stoll/teaching/ArithHypKurven-SS2014/Skript-ArithHypCurves-pub-screen.pdf
  
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To explain how geodescies work, this is a really cool and pretty video:
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https://www.youtube.com/watch?v=NfqrCdAjiks
  
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A good site for understanding manifolds
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http://bjlkeng.github.io/posts/manifolds/
  
[[ Walther MA271 Fall2020 topic7|Back to Walther MA271 Fall2020 topic7]]
+
For integration on surfaces
 +
https://d-nb.info/1161096876/34
 +
 
 +
For derivation between surfaces
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https://www.uio.no/studier/emner/matnat/math/MAT4800/h16/riesurf.pdf
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Helpful explanation of complex tori
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https://math.berkeley.edu/~teleman/math/Riemann.pdf
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Great for understanding multivalued functions and how the surfaces display them
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https://science.larouchepac.com/riemann/page/22
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https://science.larouchepac.com/riemann/page/23
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 +
 
 +
More on Riemann Surfaces in general (other properties, definitions, and theories)
 +
http://www.math.caltech.edu/~2014-15/2term/ma130b/files/AlgCurv-RS-Miranda.pdf

Revision as of 00:18, 6 December 2020


References

More on String Theory and Riemann Surfaces: http://www.damtp.cam.ac.uk/user/rar31/LectureNotes.pdf

More on Mathematical topology -- This was a class project from a class at Colorado State. The introduction is also particularly entertaining: https://www.math.colostate.edu/~renzo/teaching/Topology10/Notes.pdf

A very helpful video in visualizing what Riemann surfaces look like and explains how they work in the complex plane. https://www.youtube.com/watch?v=4MmSZrAlqKc

More on Hyperelliptic curves and its other properties: https://www.acadsci.fi/mathematica/Vol25/schmutz1.pdf And this one written by someone from Purdue: http://www.mathe2.uni-bayreuth.de/stoll/teaching/ArithHypKurven-SS2014/Skript-ArithHypCurves-pub-screen.pdf

To explain how geodescies work, this is a really cool and pretty video: https://www.youtube.com/watch?v=NfqrCdAjiks

A good site for understanding manifolds http://bjlkeng.github.io/posts/manifolds/

For integration on surfaces https://d-nb.info/1161096876/34

For derivation between surfaces https://www.uio.no/studier/emner/matnat/math/MAT4800/h16/riesurf.pdf

Helpful explanation of complex tori https://math.berkeley.edu/~teleman/math/Riemann.pdf

Great for understanding multivalued functions and how the surfaces display them https://science.larouchepac.com/riemann/page/22 https://science.larouchepac.com/riemann/page/23


More on Riemann Surfaces in general (other properties, definitions, and theories) http://www.math.caltech.edu/~2014-15/2term/ma130b/files/AlgCurv-RS-Miranda.pdf

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