mathwonk's latest activity
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Mmathwonk replied to the thread I Apparent counter-example to Cauchy-Goursat theorem (Complex Analysis).The natural logarithm is by definition any analytic function defined on a (connected) open set U not including 0, and (right-) inverse...
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Mmathwonk replied to the thread What did you do with your old college textbooks?.I currently still have over 250 mathematics, and some more physics, books from my university career on my (sturdy built-in) shelves ...
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Mmathwonk replied to the thread Other What are some good books for learning Galois Theory?.Re-reading Mike Artin's book, Algebra, now after many years, I am struck by how very clear his explanations are. It may help that he...
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Mmathwonk replied to the thread Other What are some good books for learning Galois Theory?.Thanks martinbn, I enjoyed perusing this paper from Keith Conrad; I thought his examples were particularly enlightening...
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Mmathwonk reacted to martinbn's post in the thread Other What are some good books for learning Galois Theory? with
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Keith Conrad has a few things written up including Galois theory https://kconrad.math.uconn.edu/blurbs/ -
Mmathwonk reacted to martinbn's post in the thread Other What are some good books for learning Galois Theory? with Like.
A question and a very nice answer about the history of Galois theory is here...
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Mmathwonk replied to the thread Other What are some good books for learning Galois Theory?.Briefly (after reading Neumann's translation of Galois): We say a group G can be reduced by a prime p, if G has a normal subgroup N of...
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Mmathwonk replied to the thread Necessary criterion for expressing f(a + b).A classic example: e^(a+b) = e^a.e^b, and as consequences of this (since e^iz = cos(z) + isin(z)), the sin and cosine formulas. These...
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Mmathwonk replied to the thread Other What are some good books for learning Galois Theory?.Summary of statements of Galois theory (in characteristic zero): [I.e. assume all fields contain Q, the rational numbers]: Let F be a...
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Mmathwonk replied to the thread Other What are some good books for learning Galois Theory?.Here is my summary of Galois theory after reading Stewart's brief reproduction of Galois' own words. An approximation of Galois’ own...
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Mmathwonk replied to the thread Other What are some good books for learning Galois Theory?.the same question was asked 4 years ago, and answered there: my answer is post #7...
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Mmathwonk replied to the thread Other What are some good books for learning Galois Theory?.A few words about symmetry Solving a polynomial equation f with coefficients in F, means writing the roots of f in terms of the...
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Mmathwonk replied to the thread Other What are some good books for learning Galois Theory?.EDIT (added later): After consulting Stewart, Galois theory, 4th edition, I see he includes a translation of Galois' own statement of...
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Mmathwonk reacted to WWGD's post in the thread Other What are some good books for learning Galois Theory? with Like.
I liked the one by Ian Stewart. It was pretty much self-contained.
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Mmathwonk replied to the thread Other What are some good books for learning Galois Theory?.Those notes 844-1, 844-2, of mine linked in post #12, have as prerecquisite the earlier notes 843-1, 843-2, on the same webpage...