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KConrad
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Hi, here are some references:

  1. "Plane Algebraic Curves" by Brieskorn and Knorrer, around page 370.

  2. "Plane Algebraic Curves" by Fischer, Appendix 4.

  3. The link

http://mathdl.maa.org/images/upload_library/22/Polya/07468342.di020774.02p0260v.pdf

is an article from The College Mathematics Journal about the Newton polygon as developed by Newton.

I especially recommend the first reference because it has a wealth of pictures.
(However, it is a monster of a book.)

KConrad
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