[math-fun] Galois theory before abstract algebra?
Can anyone point me to a decent exposition (in English) available on the web of Galois theory prior to abstract algebra? I would imagine that this would have to be something written in the late 19th century. I want something written from the point of view of equations & roots, not rings, fields, extension fields, etc. Thanks in advance for any links.
It is not on the web, so far as I know, but you should be pleased with the Carus Mathematical Monograph: "Field Theory and its Classical Problems" by Charles Robert Hadlock. You can read the table of contents and introduction HERE<http://www.amazon.com/Classical-Mathematical-Monographs-Association-Textbooks/dp/088385032X/ref=sr_1_1?ie=UTF8&qid=1321994352&sr=8-1> . On Tue, Nov 22, 2011 at 1:57 PM, Henry Baker <hbaker1@pipeline.com> wrote:
Can anyone point me to a decent exposition (in English) available on the web of Galois theory prior to abstract algebra?
I would imagine that this would have to be something written in the late 19th century.
I want something written from the point of view of equations & roots, not rings, fields, extension fields, etc.
Thanks in advance for any links.
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Maybe Linear groups: with an exposition of the Galois field theory By Leonard Eugene Dickson available for download here: http://books.google.com/books?id=J_zuAAAAMAAJ&dq=Galois&pg=PP1#v=onepage&q=G... On Tue, Nov 22, 2011 at 12:57 PM, Henry Baker <hbaker1@pipeline.com> wrote:
Can anyone point me to a decent exposition (in English) available on the web of Galois theory prior to abstract algebra?
I would imagine that this would have to be something written in the late 19th century.
I want something written from the point of view of equations & roots, not rings, fields, extension fields, etc.
Thanks in advance for any links.
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Henry Baker -
James Buddenhagen -
W. Edwin Clark